---
author: Veritasium
date: '2026-11-04'
guest: ''
layout: post.njk
source: https://www.youtube.com/watch?v=KfODG5REyss
speaker: Veritasium
tags:
  - superfluidity
  - liquid-helium
  - bose-einstein-condensate
  - zero-point-energy
title: 超流氦的发现历程与物理机制
summary: 文章回顾了从气体液化到卡末林·昂内斯液化氦气的探索历程，展现了液氦在2.17开尔文下转变为超流体的奇异特性，并探讨了艾伦、迈斯纳、卡皮查与朗道等科学家通过双流体模型与量子激发对其零粘度、爬壁、热反流及常压下无法冻结等物理现象的理论解释。
insight: ''
draft: true
series: ''
category: science
area: knowledge-meta
project: []
people:
  - 海克·卡末林·昂内斯
  - 迈克尔·法拉第
  - 詹姆斯·杜瓦
  - 彼得·卡皮查
  - 列夫·朗道
  - 杰克·艾伦
  - 唐·迈斯纳
  - 阿尔伯特·爱因斯坦
companies_orgs:
  - 诺丁汉大学
  - 欧洲核子研究中心
products_models:
  - 大型强子对撞机
media_books:
  - 《科学革命的结构》
  - 《自然》
status: evergreen
---
<!-- chunk 1/6 -->

### 超流氦的奇特现象

- 这是液氦。
<details><summary>Original English</summary>
- This is liquid helium.
</details>

它目前处于零下 269 摄氏度。
<details><summary>Original English</summary>
It's currently sitting at

negative 269 degrees Celsius.
</details>

这仅比绝对零度高出四度。
<details><summary>Original English</summary>
That's just four degrees

above absolute zero.
</details>

但看看如果你开始给它降温会发生什么。
<details><summary>Original English</summary>
But watch what happens if

you start cooling it down.
</details>

它开始剧烈沸腾。
<details><summary>Original English</summary>
It starts to boil violently.
</details>

- 太剧烈了。
<details><summary>Original English</summary>
- That's aggressive.
</details>

- 到处都是气泡。
<details><summary>Original English</summary>
- There are bubbles everywhere.
</details>

这种情况一直持续到 2.17 开尔文。
<details><summary>Original English</summary>
That is until 2.17 Kelvin.
</details>

在那一点，奇特的事情发生了。
<details><summary>Original English</summary>
At that point, something strange happens.
</details>

氦已经转变成了一种超流体。
<details><summary>Original English</summary>
The helium has transformed

into a superfluid.
</details>

- 哦。它又完全静止了。
<details><summary>Original English</summary>
- Ooh. It's completely still again.
</details>

- 我们这里有一个带防漏气凝胶底座的烧杯。
<details><summary>Original English</summary>
- What we've got is a beaker

with a leak tight aerogel base.
</details>

- 这个烧杯能很好地盛放液氦，但只要氦变成超流体，它就开始渗漏过去。
<details><summary>Original English</summary>
- This beaker holds

the liquid helium well,

but the moment it turns superfluid, it starts to leak

through.
</details>

- 哦，下方的相变正在发生。是的，它在滴下来。
<details><summary>Original English</summary>
- Oh, the transition below is

happening. Yeah, it's dripping.
</details>

- 是的，右边在滴下来。
<details><summary>Original English</summary>
- Yeah, it's dripping on the right.
</details>

- 而且温度越低，它倾泻得越快。
<details><summary>Original English</summary>
- And the colder it gets,

the faster it pours.
</details>

- 哇。太美妙了。太快了。
<details><summary>Original English</summary>
- Oh wow. That's gorgeous. So fast.
</details>

- 太壮观了。
<details><summary>Original English</summary>
- That's spectacular.
</details>

超流氦能做到看起来不可能的事情。
<details><summary>Original English</summary>
Superfluid helium can do things that seem impossible.
</details>

如果你把它放在杯子里，一层薄膜会沿着杯壁向上爬并翻越过去，于是它把自己倒空了。
<details><summary>Original English</summary>
If you put it in a cup,

a thin film climbs up

and over the walls, so it empties itself.
</details>

你还可以用超流氦制造一个没有活动部件的喷泉。
<details><summary>Original English</summary>
You can also use superfluid

helium to create a fountain

with no moving parts.
</details>

它完全仅靠光来驱动。
<details><summary>Original English</summary>
It is powered solely by light.
</details>

科学家花了 30 年时间观察这种液体，却没有意识到他们创造了什么。
<details><summary>Original English</summary>
Scientists spent 30 years

looking at this liquid without

realizing what they had created.
</details>

- 这确实是 20 世纪物理学中最伟大的现象之一，
<details><summary>Original English</summary>
- This is really one

of the great phenomenon

in 20th century physics,
</details>

- 它会让你以不同的方式看待物质。
<details><summary>Original English</summary>
- And it makes you look at

matter in a different way.
</details>

它让我们能够探索量子物质与常规物质的边界。
<details><summary>Original English</summary>
It allows us to explore

the boundary of quantum

and regular matter.
</details>

所以我们与诺丁汉大学的重力实验室合作，重现这些实验，并探究当你一直降温下去时到底会发生什么。
<details><summary>Original English</summary>
So we teamed up with the

gravity laboratory at Nottingham

University to recreate the experiments

and to find out what really

happens when you just

keep cooling down.
</details>

### 迈向绝对零度与气体液化

对尽可能降低温度的痴迷始于 19 世纪。
<details><summary>Original English</summary>
The obsession with cooling

things down as much

as possible began in the 1800s.
</details>

人们注意到，当让气体对抗活塞膨胀时，它的温度会下降。
<details><summary>Original English</summary>
People noticed that when you

let a gas expand against a

piston, its temperature drops.
</details>

这是因为随着粒子撞击活塞，它们会推一下活塞，并将自身的一部分能量传递给活塞。
<details><summary>Original English</summary>
That's because as the

particles hit the piston,

they give it a little push

and transfer some of their

energy to the piston.
</details>

因此粒子慢了下来，它们的温度也降低了。
<details><summary>Original English</summary>
So the particles slow down and

their temperature decreases.
</details>

开尔文勋爵得知了这一点，并意识到它提供了一个诱人的可能性，即绝对温标。
<details><summary>Original English</summary>
Lord Kelvin learned of this

and realized it offered a

tantalizing possibility, that

of an absolute temperature scale.
</details>

设想你让气体极度膨胀，直到所有粒子实际上都停止运动。
<details><summary>Original English</summary>
Imagine that you let the

gas expand an extreme amount

to the point where all the

particles effectively stop.
</details>

粒子不再对活塞施加任何力，它们也没有多余的能量可以付出了。
<details><summary>Original English</summary>
The particles no longer

exert any force on the piston

and they have no more energy left to give.
</details>

这将是你所能达到的绝对最冷状态，绝对零度。
<details><summary>Original English</summary>
This would be the absolute

coldest you could get,

absolute zero.
</details>

开尔文迅速计算出了它所对应的温度，发现大约在零下 273 摄氏度。
<details><summary>Original English</summary>
Kelvin quickly computed what

temperature it corresponded to

and found it was around

negative 273 degrees Celsius.
</details>

人们猜测在那个没有热运动的地方，可能会发生怎样奇怪的事情。
<details><summary>Original English</summary>
People speculated

what strange things might

happen down there, a place

with no thermal motion.
</details>

开尔文自己提出，平时是优良导电体的金属，可能会变成完美的绝缘体，完全不导电。
<details><summary>Original English</summary>
Kelvin himself suggested that metals,

which are normally great

conductors of electricity,

might turn into perfect insulators

and not conduct any electricity at all.
</details>

但要查明真相只有一种办法，那就是你必须达到那个温度。
<details><summary>Original English</summary>
But there was only one way to find out

and that was you had to get there.
</details>

幸运的是，通往绝对零度的竞赛早已如火如荼地展开。
<details><summary>Original English</summary>
Fortunately, the race

to absolute zero was

already well underway.
</details>

它早在 25 年前就偶然开始了。
<details><summary>Original English</summary>
It had started by

accident 25 years earlier.
</details>

1823 年，迈克尔·法拉第正在摆弄水合氯，他的科学导师建议，在密封管中对其加热可能会带来一些有趣的结果。
<details><summary>Original English</summary>
In 1823, Michael Faraday

was playing around

with chlorine hydrate

and his scientific mentor suggested

that heating it in a

sealed tube might lead

to some interesting results.
</details>

于是法拉第将其密封，在水中加热，并看着黄色的气体氛围显现出来。
<details><summary>Original English</summary>
So Faraday sealed it

up, warmed it in water,

and watched as a yellow

atmosphere emerged.
</details>

接着随着压力增加到大约四个大气压，他注意到形成了一种亮黄色的流体。
<details><summary>Original English</summary>
Then as the pressure increased

to around four atmospheres,

he noticed that a bright

yellow fluid formed.
</details>

他刚刚将氯气转变成了液态氯。
<details><summary>Original English</summary>
He had just turned chlorine

gas into chlorine liquid.
</details>

随后法拉第掀起了一阵液化热潮，在五周内又液化了六种气体。
<details><summary>Original English</summary>
Faraday then went on a

bit of a liquefying spree,

liquefying six more

gases within five weeks.
</details>

但正当他顺风顺水时，他碰壁了。
<details><summary>Original English</summary>
But just as he was hitting

his stride, he hit a wall.
</details>

像乙烯这样的一些气体，无论他怎样挤压都拒绝液化。
<details><summary>Original English</summary>
Some gases like ethylene

refused to liquefy no matter

how much he squeezed them.
</details>

要明白原因，你需要把视野放大到气体内部。
<details><summary>Original English</summary>
You see why you need to zoom into a gas.
</details>

在那里你会发现一群像微小子弹一样快速飞驰的粒子。
<details><summary>Original English</summary>
There you'd find a bunch of

particles whizzing around

as fast as tiny bullets.
</details>

虽然表面上看起来不像，但粒子之间也是相互吸引的。
<details><summary>Original English</summary>
And while it might not seem like it,

the particles also attract each other.
</details>

只是因为它们分布得太分散，彼此相遇相对较少，而当它们相遇时，它们运动得太快，以至于大多只是互相弹开。
<details><summary>Original English</summary>
It's just that they're so spread out

that they meet relatively little,

and when they do, they're going so fast

that they mostly just

bounce off each other.
</details>

不过在某些情况下，如果你通过增加压力将粒子挤在一起，你可以让这些粒子聚在一起并相互滑动。
<details><summary>Original English</summary>
In some cases though, if you

squeeze the particles together

by increasing the pressure,

you can get those particles

to stick together and

slide past each other.
</details>

换句话说，你得到了一种液体。
<details><summary>Original English</summary>
In other words, you get a liquid.
</details>

法拉第的氯发生的就是这种情况，但并不是对所有气体都奏效。
<details><summary>Original English</summary>
This is what happened

with Faraday's chlorine,

but that doesn't work for all gases.
</details>

如果粒子之间的吸引力不够强，而且粒子又太热，那么无论怎样挤压都无法让它们液化。
<details><summary>Original English</summary>
If the attraction between

particles isn't strong enough

and the particles are

too hot, then no amount

of squeezing can get them to liquefy.
</details>

而乙烯发生的就是这种情况。
<details><summary>Original English</summary>
And this is what happened with ethylene.
</details>

幸运的是，还有另一种方法。
<details><summary>Original English</summary>
Luckily, there is another way.
</details>

如果你将气体冷却下来，粒子就会慢下来，最终它们开始聚在一起并相互滑动，你就得到了液体。
<details><summary>Original English</summary>
If you cool the gas down,

the particles will slow

and eventually they

start sticking together

and sliding past each other

and you get your liquid.
</details>

因此，为了液化更棘手的气体，法拉第需要更低的温度，而他迎来了一次幸运的机缘。
<details><summary>Original English</summary>
So to liquefy more tricky gases,

Faraday needed colder temperatures

and he got a lucky break.
</details>

一位法国发明家发现了如何制造干冰，其温度约为零下 79 摄氏度。
<details><summary>Original English</summary>
A French inventor had

discovered how to make dry ice,

which was about negative

79 degrees Celsius.
</details>

所以在最初氯获得成功的 20 年后，他又尝试了一次。
<details><summary>Original English</summary>
So 20 years after his initial chlorine

success, he tried again.
</details>

法拉第把乙烯气体放进一根带弯管的玻璃管中，用泵对其进行压缩，然后把弯管浸入干冰和乙醚的混合浴中。
<details><summary>Original English</summary>
Faraday put ethylene gas in

a glass tube with a bend,

compressed it using pumps,

and then lowered the bend into

a bath of dry ice and ether.
</details>

随着干冰冷却，乙烯形成了一种清澈无色的液体。
<details><summary>Original English</summary>
As the dry ice cooled, the ethylene,

a clear colorless liquid formed.
</details>

法拉第使用相同的技术又液化了五种气体，在这个过程中追求越来越低的温度，并一直降到了零下 110 摄氏度，即 163 开尔文。
<details><summary>Original English</summary>
Feraday used the same technique

and liquefied five more

gases pursuing ever colder

temperatures in the process

and getting all the way down

to negative 110 degrees Celsius

or 163 Kelvin.
</details>

但仍有六种气体抵挡了他的尝试，包括氧气、氢气和氮气。
<details><summary>Original English</summary>
But six gases still resisted

his attempts, including oxygen,

hydrogen and nitrogen.
</details>

他就是无法达到足够低的温度。
<details><summary>Original English</summary>
He just couldn't get cold enough.
</details>

### 液化氦气的挑战与昂内斯的尝试

在接下来的几十年里，世界各地的科学家接过了法拉第未竟的事业。
<details><summary>Original English</summary>
Over the following decades,

scientists all over the world picked up

where Faraday had left off.
</details>

液化一种新气体成了关乎国家荣誉的事情，通往绝对零度的竞赛正式打响。
<details><summary>Original English</summary>
Liquefying a new gas became

a matter of national pride

and the race to absolute zero was on.
</details>

1883 年，两位波兰科学家液化了氧气和氮气，创纪录的低温降至 77 开尔文。
<details><summary>Original English</summary>
In 1883, two Polish scientists

liquefied oxygen and nitrogen

and the record low

temperature fell to 77 Kelvin.
</details>

15 年后，詹姆斯·杜瓦在 20 开尔文下液化了氢气，随后在 14 开尔文下将其冻结。
<details><summary>Original English</summary>
15 years later, James Dewar

liquified hydrogen at 20 Kelvin

before freezing it at 14.
</details>

到了 20 世纪之交，只剩下最后一种气体屹立不倒，那就是氦气，但有人认为氦气可能根本无法液化。
<details><summary>Original English</summary>
By the turn of the 20th century,

there was just one gas

left standing, helium,

but some thought helium might

be impossible to liquefy.
</details>

这样想是有充分理由的，因为要把气体变成液体，其粒子必须相互吸引。
<details><summary>Original English</summary>
And there was good reason to think that

because to turn a gas into

a liquid, its particles have

to attract each other.
</details>

但氦是一种非常简单的元素。
<details><summary>Original English</summary>
But helium is a very simple element.
</details>

它最常见的同位素由两个质子、两个中子和两个电子组成。
<details><summary>Original English</summary>
Its most common isotope

consists of two protons,

two neutrons and two electrons.
</details>

电子在原子核周围形成壳层，而氦和所有稀有气体一样，拥有一个满外壳层。
<details><summary>Original English</summary>
Electrons form shells around the nucleus

and helium, like all noble

gases, has a full outer shell.
</details>

所以它并不真正寻求获得或失去任何电子，因此它并不真正与任何东西结合在一起。
<details><summary>Original English</summary>
So it isn't really seeking to

gain or lose any electrons,

and as a result, it doesn't really

bind together with anything.
</details>

这让人们怀疑氦原子之间是否到底存在相互吸引。
<details><summary>Original English</summary>
That made people wonder

whether helium atoms

attract each other at all.
</details>

如果它们互不吸引，你尽可以想把氦冷却多低就冷却多低，但你永远也得不到液体。
<details><summary>Original English</summary>
And if they didn't, you could

cool down helium as much

as you wanted, but you

would never get a liquid.
</details>

即使原子之间确实相互吸引，这种引力也可能微小到其液化温度会远低于任何人实际所能达到的范围。
<details><summary>Original English</summary>
And even if the atoms did

attract each other, well,

the attraction might be so small

that its liquefaction temperature

could be much colder than

anyone could practically reach.
</details>

所以上海克·卡末林·昂内斯把目光投向液化氦气时，他就知道自己将面临一场挑战。
<details><summary>Original English</summary>
So when Haiku Kamerlingh Onnes

set his sights on liquefying

helium, he knew he was in for a challenge.
</details>

昂内斯早在 1882 年就加入了通往绝对零度的竞赛，从那时起，他一直在莱顿建立一个工业规模的实验室，配备了化学家、技术人员、玻璃吹制工以及巨型液化器。
<details><summary>Original English</summary>
Onnes had joined the race

to absolute zero in 1882,

and since then he'd been

building an industrial scale

laboratory in Leiden, complete

with chemists, technicians,

glassblowers, and massive liquefiers.
</details>

到了 1906 年，他也液化了氢气，从那以后，他全身心地投入到液化氦气的工作中。
<details><summary>Original English</summary>
By 1906, he too had liquefied hydrogen,

and from then on, he

dedicated himself fully

to liquefying helium.
</details>

但研究氦气带来了两个主要难题。
<details><summary>Original English</summary>
But working with helium came

with two major problems.
</details>

首先，仅获取它就很困难。
<details><summary>Original English</summary>
For one thing, just

getting it was difficult.
</details>

请记住，氦不与任何东西发生反应，所以没有任何化合物可以从中提取氦，而且空气中仅含有大约百万分之五的氦。
<details><summary>Original English</summary>
Remember, helium doesn't

react with anything,

so there are no compounds

you can get helium from,

and the air only contains

around five parts per million.
</details>

所以在地球上几乎没有氦，这至少有点令人惊讶，因为在宇宙中氦无处不在。
<details><summary>Original English</summary>
So on earth, there's almost no helium,

which is at least a little surprising

because in the universe,

helium is everywhere.
</details>

它是仅次于氢的第二丰富的元素。
<details><summary>Original English</summary>
It's the second most abundant

element after hydrogen.
</details>

问题在于氦到底有多轻。
<details><summary>Original English</summary>
The issue is just how light helium is.
</details>

释放任何氦气，它都会混入空气中。
<details><summary>Original English</summary>
Release any helium and

it mixes into the air.
</details>

历经数十万年，它会慢慢飘向大气层顶部，并在那里被太阳加热，速度加快。
<details><summary>Original English</summary>
Over hundreds of thousands

of years, it slowly drifts up

to the top of the atmosphere

where it gets heated up

by the sun and it speeds up.
</details>

现在，有一小部分分子的最终运动速度超过了每秒 11 公里，这是地球的逃逸速度，即逃脱地球引力势阱所需的速度。
<details><summary>Original English</summary>
Now, a small fraction ends

up going faster than 11

kilometers per second, which

is Earth's escape velocity,

the velocity required to escape

Earth's gravitational well.
</details>

于是它逃逸到了太空中。
<details><summary>Original English</summary>
And so it escapes into space.
</details>

而更大的一部分被太阳辐射电离，然后沿着地球磁场被极地风带走，最终与太阳风汇合。
<details><summary>Original English</summary>
A much larger fraction gets

ionized by solar radiation

and then gets carried away

by the polar winds along

the Earth's magnetic field

before ultimately merging

with the solar wind.
</details>

无论哪种方式，结果都是一样的。
<details><summary>Original English</summary>
And either way, the outcome is the same.
</details>

氦永远迷失在太空中了。
<details><summary>Original English</summary>
The helium is lost to space forever.
</details>

所以如果我戳破这个气球，那里的氦实际上就消失了。
<details><summary>Original English</summary>
So if I pop this balloon, that

helium is effectively gone.
</details>

结果就是，当时纯氦很难弄到，全球的总供应量可能不足 50 个派对气球的量。
<details><summary>Original English</summary>
As a result, pure helium at

the time was hard to come by

and the world's total

supply was likely less than

50 party balloons worth.
</details>

所以昂内斯不得不从另一个来源获取他的氦，他转向了沙子，具体来说是两大袋独居石沙。
<details><summary>Original English</summary>
So Onnes had to get his helium

from a different source

and he turned to sand,

specifically two large bags

of monazite sand.
</details>

这是因为独居石是一种按重量计含有大约 5% 钍的矿物，而钍具有放射性。
<details><summary>Original English</summary>
That's because monazite is a

mineral that contains around 5%

thorium by weight and

thorium is radioactive.
</details>

当它衰变时，会吐出一个阿尔法粒子，也就是两个质子和两个中子。
<details><summary>Original English</summary>
When it decays, it spits

out an alpha particle,

which is two protons and two neutrons.
</details>

换句话说，就是氦的原子核。
<details><summary>Original English</summary>
In other words, the nucleus of helium.
</details>

然后那个原子核被周围的岩石减速，在那里夺取两个电子，变成一个氦原子。
<details><summary>Original English</summary>
That nucleus then gets slowed

down by the surrounding rock

where it steals two electrons

and becomes a helium atom.
</details>

因此，经过数百万年，你就会得到被困在岩石内部的氦原子的积聚。
<details><summary>Original English</summary>
So over millions of years,

you get this buildup

of helium atoms trapped inside the rock.
</details>

事实上，今天我们在地球上拥有的基本上所有的氦都来自于放射性衰变。
<details><summary>Original English</summary>
In fact, basically all the

helium we have on earth today

comes from radioactive decay.
</details>

它本质上是一种放射性化石，尽管现在我们主要从天然气井中获取它，它在天然气井中历经漫长岁月累积而成。
<details><summary>Original English</summary>
It's essentially a radioactive fossil,

although now we mostly get

it from natural gas wells

where it accumulates over the eons.
</details>

但昂内斯没有那种便利。
<details><summary>Original English</summary>
But Onnes didn't have that luxury.
</details>

他必须把它从沙子中释放出来。
<details><summary>Original English</summary>
He had to liberate it from the sand.
</details>

于是他招募了四名化学家。
<details><summary>Original English</summary>
So he recruited four chemists.
</details>

他们加热沙子以释放气体，用氧气使其发生爆炸反应，用液态空气冷却以冻结析出杂质，在氧化铜上燃烧以去除氢气，最后在木炭上压缩以吸附剩余的杂质。
<details><summary>Original English</summary>
They heated up the sand to

release the gas, exploded it

with oxygen, cooled it with liquid air

to freeze out impurities,

burned over copper oxide

to get rid of the hydrogen,

and last of all,

compressed it over charcoal

to absorb any remaining impurities.
</details>

几个月后，昂内斯得到了大约 25 个派对气球量的纯氦，估计占世界供应量的 80%。
<details><summary>Original English</summary>
After several months, Onnes

had about 25 party balloons

of pure helium, an estimated

80% of the world supply.
</details>

昂内斯迅速进行了细致的实验，试图探明氦原子之间到底是否存在相互吸引。
<details><summary>Original English</summary>
Onnes quickly conducted

careful experiments to try

and tease out whether helium

atoms attract each other at all.
</details>

- 卡末林·昂内斯做了大量工作，我认为他越来越确信氦实际上是可以被液化的。
<details><summary>Original English</summary>
- Kamerlingh Onnes did a lot of work

and I think he was becoming more

and more convinced that helium

can in fact be liquefied.
</details>

- 看起来氦原子之间确实存在相互吸引，哪怕只是极其微弱的一点点。
<details><summary>Original English</summary>
- It seemed like the helium

atoms did attract each other

just ever so slightly.
</details>

那么两个不与任何东西发生反应的中性原子是如何相互吸引的呢？
<details><summary>Original English</summary>
So how do two neutral

atoms that don't react

with anything attract each other?
</details>

一个氦原子其实就是一个原子核加上周围的两个电子，但在现实中，你永远无法确切知道那些电子在哪里。
<details><summary>Original English</summary>
Well, a helium atom is just

a nucleus with two electrons

around it, but in reality

you never know exactly

where those electrons are.
</details>

因此更准确的图像看起来是这样的：一个原子核，周围有一团电子云。
<details><summary>Original English</summary>
So a more accurate picture

looks like this, a nucleus

with an electron cloud around it.
</details>

但那团云并不总是完全均匀分布的。
<details><summary>Original English</summary>
But that cloud isn't always

perfectly evenly distributed.
</details>

在任何特定瞬间，某一侧的负电荷都会比另一侧略微多一点。
<details><summary>Original English</summary>
At any particular instant,

there's slightly more negative charge

on one side than the other.
</details>

此时如果附近有另一个足够靠近的氦原子，这种电荷不平衡就会在那个原子上诱导出电荷不平衡。
<details><summary>Original English</summary>
And now if there's another

helium atom close enough, well,

this charge imballence can

induce a charge imballence

on that atom.
</details>

现在这两个原子就会彼此施加吸引力。
<details><summary>Original English</summary>
And now the two exert a force

of attraction on each other.
</details>

这就是所谓的范德华力，这也是为什么如果靠得足够近，每个原子都会吸引其他每一个原子。
<details><summary>Original English</summary>
This is known as a van der Waals force,

and it's why every atom

attracts every other if

you get it close enough.
</details>

但氦对其两个电子的束缚非常紧密，所以电子云几乎不发生移动，范德华力微乎其微，是所有元素中最小的，但也许这恰好足够了。
<details><summary>Original English</summary>
But helium holds its two

electrons very tightly,

so the cloud hardly budges

and the van der Waals force

is tiny, the smallest

of any element, but

perhaps it's just enough.
</details>

氦带来的第二个问题是，没有人确切知道要达到多低的温度它才会液化，只知道它必须比液氢更冷，可能冷得多。
<details><summary>Original English</summary>
The second problem with helium

is that no one knew exactly

how cold it would have to get

to liquefy, only that it had

to be colder than liquid

hydrogen, possibly much colder.
</details>

这就是问题所在，因为热量从环境中传入的速率取决于温差。
<details><summary>Original English</summary>
And that's the issue

because the rate at which

heat transfers in from the

environment depends on the

temperature difference.
</details>

温差越大，流入的热量就越多，而在它所在的房间比它高出 290 度的情况下，将某样东西冷却到可能仅比绝对零度高出几度，嗯，那是一个巨大的温差。
<details><summary>Original English</summary>
The bigger the gap, the more heat flows in

and cooling something down

to possibly a few degrees

above absolute zero while the

room it's in is 290 degrees

above it, well, that's a humongous gap.
</details>

幸运的是，杜瓦此前已经发明了一件关键的仪器设备。
<details><summary>Original English</summary>
Fortunately, Dewar had

already invented one

key piece of apparatus.
</details>

基本上就是一个玻璃烧瓶套在另一个里面，中间是真空。
<details><summary>Original English</summary>
Essentially, one glass

flask nested inside another

with a vacuum in between.
</details>

这把热传导限制在顶部的细小连接点上。
<details><summary>Original English</summary>
This limited heat conduction

to a small connection point at the top.
</details>

由于真空的存在，对流被完全排除，并且可以选择在内表面镀上一层银涂层，你
<details><summary>Original English</summary>
Convection got ruled out

entirely due to the vacuum

and optionally by covering the insides

with the silver coating, you
</details>

<!-- chunk 2/6 -->

也能反射辐射。

<details><summary>Original English</summary>
could also reflect radiation.
</details>

这把热量损失减少了 30 倍，它也是当今每个保温瓶背后的基本设计。

<details><summary>Original English</summary>
This reduced heat losses

by a factor of 30,

and it's the basic design behind

every thermos flask today.
</details>

但对昂内斯来说，这依然不够好。所以他把几个杜瓦瓶嵌套在一起。氦气会装在最内层，外围围着一层液氢浴，液氢外面再围一层液态空气浴。

<details><summary>Original English</summary>
But for Onnes, it still wasn't good enough.

So he nested several Dewar

flasks inside each other.

The helium would go in

the inner one, a bath

of liquid hydrogen would sit around that,

and a bath of liquid air around that.
</details>

这样每一层都为下一层起到热屏蔽的作用，氦气所面对的将是一堵 20 开尔文的墙，而不是 300 开尔文，从而使辐射进来的热量减少了 50,000 倍。

<details><summary>Original English</summary>
So each layer acted as a

heat shield for the next,

and the helium would see a wall

of 20 Kelvin instead of 300,

cutting the radiated heat

coming in by a factor of 50,000.
</details>

为了测量内层容器内部的温度，昂内斯放入了一个装有稀薄氦气并保持恒定体积的小玻璃泡。一根细毛细管将它连接到液化器外面本质上是一个压力表的东西，因为对于恒定体积的气体来说，温度与压力成正比。

<details><summary>Original English</summary>
To measure the temperature

inside the inner vessel,

Onnes inserted a small glass bulb filled

with dilute helium gas

held at a constant volume.

A thin capillary connected this to

what was essentially a pressure

meter outside the liquefier,

because for a gas at a constant volume,

the temperature is directly

proportional to the pressure.
</details>

因此，如果先在一个已知的温度下测量基准压力——比如在水结冰点约 273 开尔文时——你可以将其设为 100%。如果之后测得的压力只有那个数值的 10%，那么温度也必然是原来的 10%，即大约 27 开尔文。

<details><summary>Original English</summary>
So if you first measure

the baseline pressure at a

temperature you know, like

the freezing point of water

around 273 Kelvin, you

could set that to 100%.

Then if you later measure a

pressure that's only 10% of

that amount, then the

temperature must also be 10%

of the original or around 27 Kelvin.
</details>

通过使用这个巧妙的方法，昂内斯即使在仅比绝对零度高几度的温度下也能进行测量。在他们当时的情况下，读取的是水银液位，但为了简明起见，我们把它做成了温度计标尺的动画。

<details><summary>Original English</summary>
By using this trick,

HOnnes could measure the

temperature even at a few degrees

above absolute zero.

Now in their case, they

read off a level of mercury,

but for simplicity, we'll animate

it as a temperature scale.
</details>

昂内斯终于准备就绪。在魏因富特纳教授的引力实验室里，我们看到了我们将要使用的装置。

<details><summary>Original English</summary>
Onnes finally had everything ready.

At Professor Weinfurtner's

gravity laboratory, we got

to see the setup we'd use.
</details>

- 当年在昂内斯做实验的时候，看起来也是这个样子吗？

<details><summary>Original English</summary>
- Is this also what it would

have looked like back in the

day when Onnes was doing it?
</details>

- 是的，所以这实际上与卡末林·昂内斯的装置非常相似。

<details><summary>Original English</summary>
- Yeah, so this is actually

a really similar setup

to Kamerlingh Onnes.
</details>

- 最大的不同在于我们只有两个互相嵌套的杜瓦瓶。外层将装满液氮，内层则是氦气要进去的地方。

<details><summary>Original English</summary>
- The biggest difference

is that we only have two

Dewars nested inside each other.

The outer one will be

filled with liquid nitrogen

and the inner one is

where the helium will go.
</details>

到了 1908 年 7 月 10 日，昂内斯决定放手一搏。他大约在早上 5:30 来到实验室，当时他的技术人员已经在紧张地工作了。他们在前一天准备了 75 升液态空气，昂内斯现在命令他们开始制备液氢。到了下午 1:30，他们有了 20 升，这足以对氦发起攻坚了。他们首先开始向外层容器注液。

<details><summary>Original English</summary>
By the 10th of July 1908,

Onnes decided to go for it.

He arrived at his lab around 5:30 AM

where his technicians

were already hard at work.

They prepared 75 liters of

liquid air the day before

and Onnes now ordered them to

start making liquid hydrogen.

By 1:30 PM they had 20

liters, which was enough

to launch their attack on helium.

They started by filling the outer vessels.
</details>

- 第一步，我们要把液氮注入外层杜瓦瓶。这将把整个系统预冷到大约 77 开尔文。等加满后，我们就开始注入氦气。为了达到那个状态，我们用了大约 25 升氮气。现在想想那个杜瓦瓶有多大，它大概只能装，你知道，不到 10 升。

<details><summary>Original English</summary>
- First step, we're

going to fill the outer

Dewar with liquid nitrogen.

That's going to precool

the whole system down

to about 77 Kelvin.

Once we're full, we'll

start filling with helium.

So we've used about 25

liters of nitrogen to get to that point.

Now consider how big the

Dewar is, that probably holds,

you know, less than 10 liters.
</details>

- 随着液态空气和液氢就位，他们开始冷却液化器。30 分钟后，它已冷却到 93 开尔文。现在是时候开始循环氦气了。

<details><summary>Original English</summary>
- With the liquid air and

hydrogen in place, they started

to cool the liquefier.

After 30 minutes, it

had cooled to 93 Kelvin.

Now it was time to start

cycling the helium.
</details>

一台泵将它压缩到 100 个大气压，然后进入液化器，在里面被预冷到大约 15 开尔文。接着气体被迅速膨胀释放到内层容器中，极大地拉大了原子之间的距离。

<details><summary>Original English</summary>
A pump compressed it to 100 atmospheres

before it went to the liquefier,

where it got precooled to

around 15 Kelvin.

The gas was then rapidly

expanded into the inner vessel,

greatly increasing the

distance between atoms.
</details>

但别忘了，氦原子之间确实存在微弱的相互吸引，因此将它们拉开需要消耗能量，它们为此付出了部分动能，导致粒子减速，温度下降。

<details><summary>Original English</summary>
But remember, helium atoms do

slightly attract each other,

so moving them apart costs energy

and they pay for this with

some of their kinetic energy,

causing the particles to slow down

and their temperature to drop.
</details>

接着气体被泵抽回压缩机，但巧妙之处在于，他们让这种温度更低的气体去冷却进来的氦气，在它膨胀前略微降低其温度。通过一次又一次地重复这样做，进来的氦气变得越来越冷。

<details><summary>Original English</summary>
The gas then got pumped

back to the compressor,

but the smart thing was that

they let this colder gas cool

the incoming helium,

slightly lowering its

temperature before it expanded.

And by doing this over

and over, the incoming

helium got colder and colder.
</details>

- 太微弱了。

<details><summary>Original English</summary>
- It's so faint.
</details>

- 是啊。

<details><summary>Original English</summary>
- Yeah.
</details>

- 感觉就像某种幽灵般的流体。

<details><summary>Original English</summary>
- It feels like a ghostly

fluid or something.
</details>

- 你知道，逸出来的并不是液体。它更像是一种超致密的蒸汽。里面只有 10 度，但下降得很快。

<details><summary>Original English</summary>
- You know, it's not

liquid that's escaping.

It's more of kind of a super dense vapor.

It's only 10 degrees inside,

but it's dropping fast.
</details>

- 下午 6:30 刚过，昂内斯和他的团队已经降到了绝对零度以上六度。这比以往任何人都更接近绝对零度，而且他们还在继续。

<details><summary>Original English</summary>
- A little after 6:30 PM, Onnes

and his team had gotten

down to six degrees

above absolute zero.

That is closer than anyone had ever gotten

before, and they kept going.
</details>

但在略低于 5 开尔文时，温度停止下降了，于是他们开始担心是不是出了什么问题。但随后房间里的一位化学家说：“它太稳定了，简直就像温度计浸泡在液体浴中一样。”于是他们冲向装置，但仍然什么也没看到，直到昂内斯抓起手电筒从低角度照射过去，他们看到了一道反光。

<details><summary>Original English</summary>
But just below five Kelvin, the

temperature stopped falling,

so they started to worry that

perhaps something was wrong.

But then a chemist in the room

remarked, "It's so stable,

it's almost as if the thermometer

is submerged in a bath

of liquid." So they

rushed to the apparatus,

but still saw nothing

until Onnes grabbed a torch

and shot it from a low angle,

and they saw a reflection.
</details>

昂内斯写道，一旦看清了那个表面，它就再也没有从视线中消失，“它像刀刃一样清晰地显现，衬在玻璃壁上。他们刚刚制造出了液氦。”

<details><summary>Original English</summary>
After the surface had once been seen,

it was no more lost sight of, Onnes wrote,

"It stood out sharply

defined like the edge

of a knife against a glass wall.

They had just made liquid

helium."
</details>

- 太酷了。把光照在上面的时候就是……对。太美了。这是个，这是个氦水壶。

<details><summary>Original English</summary>
- That's really cool.

It's just hitting the light

on it while it's yeah.

So beautiful. It's a,

it's a helium kettle.
</details>

- 绝对零度以上四度。

<details><summary>Original English</summary>
- Four degrees above absolute zero.
</details>

- 你可以看到内侧那道非常微弱的液位线。那就是液氦。

<details><summary>Original English</summary>
- You can see that really

faint liquid level on the

inside. That's the liquid helium.
</details>

- 哦哇。好的。所以液氦的折射率和空气非常接近，是吗？

<details><summary>Original English</summary>
- Oh wow. Okay. So the,

the refractive index

of liquid helium is very

close to air, is it?
</details>

- 1.025。好的。

<details><summary>Original English</summary>
- 1.025. Okay.
</details>

- 所以是的，用肉眼看真、真的非常困难。哇。

<details><summary>Original English</summary>
- So yeah, really, really

difficult to see by eye. Wow.
</details>

- 想到那大约是绝对零度以上四度，难道不觉得不可思议吗？看着根本不像。

<details><summary>Original English</summary>
- Isn't it crazy to think

that that is about four

degrees above absolute

zero? It doesn't look like.
</details>

- 确实不像，没有任何东西能让你看出来。

<details><summary>Original English</summary>
- It doesn't, there's nothing

that would tip you off.
</details>

- 是啊。回到莱顿，所有人都欣喜若狂。在接下来的一个小时里，他们进行着基础实验，直到晚上 8:30 时只剩下 10 毫升。但随后昂内斯想：“嗯，我们已经制造出了液氦。为什么不制造固态氦呢？”于是他打算给它降温，而让任何液体降温的方法就是对它进行抽气。

<details><summary>Original English</summary>
- Yeah. Back in Leiden,

everyone was elated.

For the next hour, they

ran basic experiments until

by 8:30 PM only 10 millilitres were left.

But then Onnes thought, "Well,

we've made liquid helium.

Why not make solid helium?" So

he was going to cool it down,

and the way you can cool down any liquid

is by pumping on it.
</details>

- 当我们对它抽气时，我们正在把系统中所有最热的原子带走，这会带走大约三分之一的流体。所以我们一开始把液位加到远高于所需的程度，好让它降下来。

<details><summary>Original English</summary>
- When we pump on it, we're removing all

of the hottest atoms from the system,

which takes about a

third of the fluid away.

So we initially take the level

way higher than we need it

so it can drop down.
</details>

- 于是昂内斯启动了他的泵，我们也一样。

<details><summary>Original English</summary>
- So Onnes started his pumps and so did we.
</details>

- 我们准备好了吗？

<details><summary>Original English</summary>
- Are we ready?
</details>

- 三，二，一，开始。

<details><summary>Original English</summary>
- Three, two, one, go.
</details>

- 哦，

<details><summary>Original English</summary>
- Oh,
</details>

- 哇。好的。

<details><summary>Original English</summary>
- Wow. Okay.
</details>

- 哦哇。下降了好多。下降了大概，多少，五厘米？

<details><summary>Original English</summary>
- Oh wow. It's gone down so much.

It's gone down like,

what, five centimeters?
</details>

- 是的，立刻就降了。

<details><summary>Original English</summary>
- Yeah, immediately.
</details>

- 立刻。

<details><summary>Original English</summary>
- Immediately.
</details>

- 因为我们正在把系统中所有最热的原子带走。现在只差一点到 3.5K。

<details><summary>Original English</summary>
- Because we're removing all the

hottest atoms from the system.

So we're just shy of 3.5K.
</details>

- 这种快速蒸发的氦气正在迅速降温。

<details><summary>Original English</summary>
- This rapidly evaporating

helium is quickly cooling down.
</details>

- 现在大概是 2.6K。我们低于 2.3K 了。

<details><summary>Original English</summary>
- So we're about 2.6K. We're below 2.3K.
</details>

- 好的。

<details><summary>Original English</summary>
- Okay.
</details>

- 哦，

<details><summary>Original English</summary>
- Oh,
</details>

- 进行得超级快，超级——

<details><summary>Original English</summary>
- It's going super fast, super
</details>

- 快。

<details><summary>Original English</summary>
- Fast.
</details>

- 它一直在沸腾，直到恰好在 2.17 开尔文时，它戛然而止，液体变得诡异般地平静。就在那里。

<details><summary>Original English</summary>
- It keeps boiling until

right at 2.17 Kelvin,

it abruptly stops

and the liquid goes

eerily quiet. There it is.
</details>

- 哦。又完全静止了。天哪，几乎看不见它。感觉像一面镜面。平滑成这样太不可思议了。

<details><summary>Original English</summary>
- Ooh. It's completely still again.

Man, you can hardly see it. It

feels like a mirror surface.

It's crazy how smooth that is.
</details>

### 超导与奇异特性的出现

- 昂内斯将他的氦气抽气降温到了 1.7 开尔文，比外太空还要冷，但它并没有冻结。相反，它就静静地停留在那里，异乎寻常地平静。昂内斯得出结论，它肯定只是在某个更低的温度下才会冻结，而且由于所有人都筋疲力尽，他们便收工了。他根本不知道停留在烧瓶中蒸发的究竟是什么。

<details><summary>Original English</summary>
- Onnes pumped his helium

down to 1.7 Kelvin,

colder than outer space,

but it didn't freeze.

Instead, it just sat

there, remarkably still.

Onnes concluded it must

just freeze at some lower

temperature, and since

everyone was exhausted,

they called it a day.

Little did he know what sat

there evaporating in his flask.
</details>

昂内斯仍然想让氦结冰，于是在接下来的两年里，他又尝试了几次，一路降到了 1 开尔文，但他所有的尝试都失败了。这让他不禁思索，即使冷却到绝对零度，氦是否也许也不会保持为液体。后来科学家们确实发现这是真的。如果你拿任何物质不断降温，最终它总会冻结，唯独氦除外。不知何故，它是唯一仅靠降温永远不会冻结的物质。

<details><summary>Original English</summary>
Onnes still wanted to freeze helium,

so over the next two years,

he tried several more times,

getting all the way down to one Kelvin,

but all his attempts failed.

This led him to wonder

whether helium will not remain

perhaps liquid even if it is

cooled to the absolute zero.

And indeed, scientists later

discovered this is true.

If you take any substance

and keep cooling it down,

eventually it always freezes,

except for helium.

Somehow it's the only

substance that never freezes

by just cooling it down.
</details>

所以昂内斯放弃尝试冻结氦是明智的。相反，他着手最终检验开尔文的预言：金属的导电性在绝对零度附近应当停止。换句话说，它们的电阻应当变得实际上无限大。为此，他将不同的金属浸入液氦中并测量它们的电阻。

<details><summary>Original English</summary>
So Onnes was wise when he gave up on

trying to freeze helium.

Instead, he set out to finally

test Kelvin's prediction

that the electrical conductivity

of metals should stop near absolute zero.

In other words, that their

electrical resistance should

become effectively infinite.

To do this, he submerged

different metals in liquid helium

and measured their resistance.
</details>

他从金和铂开始，但它们的电阻只是持续缓慢下降，直到最终稳定在一个恒定值。接着在 1911 年 4 月 8 日，他测量了水银，并只写下了三个词：水银几乎为零。随着你降温，它的电阻缓慢下降，直到大约 4.2 开尔文，在此处骤降到似乎为零。电流在流动而没有明显的损耗，这与开尔文所设想的完全相反，昂内斯刚刚发现了超导现象。

<details><summary>Original English</summary>
He started with gold and platinum,

but their resistance just

kept slowly decreasing

until finally settling on a steady value.

Then on the 8th of April,

1911, he measured mercury

and wrote down just three words

mercury practically zero.

As you cooled down, its

resistance slowly decreased until

around 4.2 Kelvin, where

it suddenly plummets to

what appeared to be zero.

Electricity that flowed

with no apparent losses,

the exact opposite of what

Kelvin had hypothesized,

Onnes had just discovered

superconductivity.
</details>

- 这就是大多数人知道的故事。

<details><summary>Original English</summary>
- So that's the story most people know.
</details>

- 好的。

<details><summary>Original English</summary>
- Okay.
</details>

- 大多数人不知道的是，就在同一天的晚些时候，他也把氦气进一步降温了，并且他写道：“就在氦气达到最冷温度（即 1.8 开尔文）之前，沸腾突然停止了。”

<details><summary>Original English</summary>
- What most people

don't know is that later

that same day, he also

cooled down the helium more

and he wrote, "Right

before the helium reached

the coldest temperature,

which was 1.8 Kelvin, the

boiling suddenly stopped."
</details>

- 他注意到了。

<details><summary>Original English</summary>
- He noticed.
</details>

- 他注意到了。

<details><summary>Original English</summary>
- He noticed.
</details>

- 那么昂内斯在看到这种突然的变化后做了什么？几乎什么都没做。他猜想了一个寻常的解释，然后就继续往前了。

<details><summary>Original English</summary>
- So what did Onnes do

after seeing this sudden change?

Almost nothing. He guessed at an ordinary

explanation and moved on.
</details>

但氦一直在留下线索。当他们测量它的密度时，发现它在 2.17 开尔文附近有一个奇特的反常峰值。当他们测量潜热时，发现在大约相同的温度下，氦发生了一些甚至可能是不连续的变化。

<details><summary>Original English</summary>
But helium kept dropping clues.

When they measured its density,

they discovered it had a

curious peak around 2.17 Kelvin.

And when they measured the

latent heat, they found that

around the same temperature,

something happened

to the helium, which was

perhaps even discontinuous.
</details>

然而最关键的铁证发生于他们测量一种被称为比热的性质时，比热就是将一克物质加热一开尔文需要多少能量。他们发现，随着温度下降，比热逐渐减小，直到接近 2.17 开尔文时突然暴涨。这比任何迹象都清楚地表明，此时正在发生某些事情。

<details><summary>Original English</summary>
Yet the biggest smoking gun

of all happened when they

measured a property known

as the specific heat, which

is how much energy it takes

to heat up one gram by one kelvin.

They found that as the

temperature dropped,

the specific heat declined

until they approached 2.17 Kelvin,

where it suddenly shot up.

This was as clear a sign as any

that something was

happening at this point.
</details>

- 但他们以为自己知道这是什么。这是冷凝现象发生，你知道，是实验误差。所以他们得到了这些数据点，但是他们写道，比如：“我们觉得有理由忽略这些不规则的点，他们只发表了 2.61 开尔文以上的部分，那部分与他们现有的公式完全吻合。”

<details><summary>Original English</summary>
- But they knew what this was.

This was condensation happening, you know,

experimental error.

So they had these points,

but they, they wrote like,

"We felt justified in disregarding

these irregular points,

and they only published

the part above 2.61 Kelvin,

which neatly fit the

formula they had for it."
</details>

- 昂内斯对一个又一个提示置之不理，即使是亲眼目睹它的发生。有一天，昂内斯把一个液氦容器放进另一个里面，他注意到在 2.17 开尔文以下，如果其中一个液位一开始比较高，它总会迅速变平。他甚至评论说这发生得惊人地快。他认为这对蒸馏来说太快了，但由于他没有更好的解释，他就坚持了这个说法。如果他当时把容器提起来，他可能就发现真相了。这里我们有一个聚合物杯子。这就是我们的容器。

<details><summary>Original English</summary>
- Onnes brushed off hint

after hint, even while seeing

it happen with his own eyes.

One day, Onnes put one

container of liquid helium

inside another, and he noticed

that below 2.17 Kelvin,

if one level started higher,

it always quickly evened out.

He even remarked how

strikingly fast it happened.

He thought it was too

fast for distillation,

but since he had no better

explanation, he stuck with that.

If only he had raised his container,

he might have discovered the truth.

Here, we've got a polymer

cup. This is our container.
</details>

- 于是我们把碗装好了。它在最底部，我想我们将要尝试做的是把它提起来。

<details><summary>Original English</summary>
- So we got the bowl loaded up.

It's way at the bottom, and I

think what we're going to try

and do is lift it up.
</details>

- 是的。温度越低，这种效应就会越好，而且这在最好情况下也是一种超级微妙的效应。我们想降到大约 1.5 到 1.55 K。我打算试着把它提到刚好高出液面的位置。

<details><summary>Original English</summary>
- Yeah. The colder we get, the

better this effect is going

to be, and it's a super subtle

effect at the best of times.

We want to get down to about 1.5, 1.55 K.

I'm going to try and raise it

just above the fluid surface.
</details>

- 哇。

<details><summary>Original English</summary>
- Whoa.
</details>

- 你能看到吗？

<details><summary>Original English</summary>
- Can you see that?
</details>

- 看到，看到了，

<details><summary>Original English</summary>
- Yeah, yeah,
</details>

- 看到。看到了。

<details><summary>Original English</summary>
- Yeah. Yeah.
</details>

- 是的，不，你几乎能看到像波浪一样的东西。

<details><summary>Original English</summary>
- Yeah, no, you see like waves almost.
</details>

- 是的。

<details><summary>Original English</summary>
- Yeah.
</details>

- 对。啊，你真的能看到下面有脉动。

<details><summary>Original English</summary>
- Yeah. Ah, you can

really see a pulse down there.
</details>

- 如果你看底部，可以看到它正在滴落。如果我们把它加速，你可以看到它一直在滴。越来越多的液氦落到底部。正在发生的是，不知怎的，氦沿着壁面向上爬并翻越过去，简直把自己倒空了。

<details><summary>Original English</summary>
- If you look at the bottom,

you can see it's dripping.

And if we speed it up, you

can see it keeps dripping.

More and more liquid helium

is going to the bottom.

What's happening is that somehow

the helium is climbing up

and over the walls, literally

emptying itself out.
</details>

这不是蒸馏。某种远比这更奇怪的事情正在发生。

<details><summary>Original English</summary>
This was not distillation.

Something far stranger was happening.
</details>

昂内斯的继任者们对比热数据产生了怀疑，所以他们重新进行了测量，并且确信这不是误差。这是真实的。在 2.17 开尔文时确实发生着什么。由于这条曲线类似于希腊字母 Lambda，他们称其为 Lambda 点，并指出这里必然正在发生相变，但并不是普通的相变。

<details><summary>Original English</summary>
Onnes's successors grew suspicious

of the specific heat

data, so they remeasured

and they became convinced

it wasn't an error.

This was real. Something was

happening at 2.17 Kelvin.

Since the curve resembled

the Greek letter Lambda,

they called this the Lambda point

and they suggested that a phase

transition must be happening

here, but not an ordinary

phase transition.
</details>

这将是一种向更奇异物质形态的相变，从普通液体变成某种别的东西。但究竟是什么呢？

<details><summary>Original English</summary>
This would be a phase

transition to a more exotic kind

of matter, from a normal

liquid to something else.

But what?
</details>

在有如此多不同线索的情况下，要弄清楚到底发生了什么是令人困惑的。如果不是说完全不可能的话。

<details><summary>Original English</summary>
Figuring out what's really happening when there are so many different

clues can be confusing.

If not, outright impossible.
</details>

今天同样如此。最近我看到了这样一则报道：科学家用人工智能设计出了自然界中不存在的病毒，但取决于你在哪里读到这篇报道，你的反应可能会完全不同。如果你先读了 IFLS，你可能会认为这是一项令人兴奋的科学突破——人工智能设计出了能够杀死细菌的病毒。

<details><summary>Original English</summary>
The same is still true today.

Recently, I came across this

story where scientists used AI

to design viruses not found in nature,

but depending on where you read the story,

you might have a completely

different reaction.

If you read IFLS first,

you might think this is an

exciting scientific breakthrough,

AI designing a virus

that can kill bacteria.
</details>

<!-- chunk 3/6 -->

如果你先看到的是这篇，你会得到一个更全面但更复杂的图景：从零合成16种病毒，但也伴随着潜在的弊端。

<details><summary>Original English</summary>
If you'd seen this first,

you'd get a more complete,

albeit complex picture,

16 viruses from scratch,

but with possible downsides.
</details>

而如果你先看到的是《纽约邮报》的这篇文章，你很可能会把注意力集中在可能出差错的地方上。

<details><summary>Original English</summary>
And if you saw this New

York Post article first,

you'd most likely focus

on what could go wrong.
</details>

所以，三个标题，却是三个截然不同的结论。

<details><summary>Original English</summary>
So three headlines,

but three completely

different conclusions.
</details>

大多数人只从单一来源获取新闻，结果就是，他们的理解有点像碰运气：你碰巧先看到了哪家媒体？

<details><summary>Original English</summary>
Most people just get their

news from one source,

and as a result, their takeaway

is a little bit like the

luck of the draw, which outlet

did you happen to see first?
</details>

这就是我们使用今天的赞助商 Ground News 的原因。他们是一个网站兼应用程序，为阅读新闻带来了一种数据驱动且客观的方法。

<details><summary>Original English</summary>
That's why we use today's

sponsor, Ground News.

They're a website, an app

that brings a data-driven

and objective approach

to reading the news.
</details>

他们每天抓取数千篇报道，并对每一篇都拆解其政治倾向、报道的事实性程度以及报道归谁所有。

<details><summary>Original English</summary>
They pull thousands of stories daily,

and for each, they break

down the political leaning,

how factual the reporting is,

and who owns the reporting.
</details>

例如在那篇 AI 病毒的报道中，它立刻告诉你，有超过200家新闻机构对此进行了报道，并且在整个政治光谱中都得到了相当均匀的报道覆盖。

<details><summary>Original English</summary>
For example, with the AI virus story,

it immediately tells you

that over 200 news outlets reported on it

and that it got covered fairly evenly

across the political spectrum.
</details>

在下方，你还可以看到真实度、所有权归属，甚至是谁最先爆料的新闻——在这个案例中是《福布斯》。

<details><summary>Original English</summary>
Below that, you can also see

the factuality, ownership,

and even who broke the news

first, Forbes in this case.
</details>

偏见对比功能会突出文章内容上的具体差异，但我最喜欢的功能可能是他们的盲区信息流（blind spot feed）。它向你展示被政治光谱的某一方较少报道的新闻。

<details><summary>Original English</summary>
The bias comparison feature

highlights specific differences

in the contents of the articles,

but my favorite feature might

be their blind spot feed.

It shows you stories that are

under-reported by one side

of the political spectrum or the other.
</details>

对每一篇报道，如果全靠你自己去弄清所有这些差异，那将是一份全职工作。这正是 Ground News 如此宝贵的原因。其数据驱动的方法有助于在几秒钟内让这些新闻变得易于理解。

<details><summary>Original English</summary>
Trying to figure all these

differences out by yourself

for every story would be a full-time job.

That's what makes Ground News so valuable.

Their data-driven approach

helps make these stories

digestible in seconds.
</details>

所以，如果你和我们一样在乎探求真相，请访问 ground.news/ve 或扫描这个二维码。我们的链接可以让你在他们的 Vantage 计划上享受 40% 的折扣。

<details><summary>Original English</summary>
So if you, like us, care

about getting to the truth, go

to ground.news/ve or scan this QR code.

Our link gets you 40%

off their vantage plan.
</details>

### 液氦黏度的测量与意外发现

我想感谢 Ground News 赞助这部分视频。现在回到不断冷却氦气时所发生的事情。答案在整个 1930 年代开始逐渐明朗。

<details><summary>Original English</summary>
I'd like to thank Ground

News for sponsoring this part

of the video, and now back to

what was happening when you

keep cooling down helium.

The answer started to take

shape throughout the 1930s.
</details>

- 那么在 1945 年，有一名叫唐·迈斯纳（Don Misener）的研究生，他需要为他的课程做一些实验来拿到足够的学分。他了解氦领域正在发生的一切，但他意识到还没有人测量过它的黏度。于是他就想：“哦，真奇怪。那我就来测测看。”

<details><summary>Original English</summary>
- So in 1945,

there was this graduate

student called Don Misener,

and he needed to do some experiments

for his coursework to get enough credit.

And he was aware of everything

that was happening in helium,

but he realized that no one

had measured its viscosity.

So he's like, "Oh, that's 

weird. I will measure it."
</details>

- 那么你该怎么测量黏度呢？

<details><summary>Original English</summary>
- So how do you measure the viscosity?
</details>

- 有两种方法。你放一个圆盘，试着观察液体的阻力是多少。另一种方法是用一根细毛细管，然后把液体推过它，两种方法测得的黏度应该完全相同。

<details><summary>Original English</summary>
- There are two ways. You have a disc

and you try to see what the

resistance of the liquid is.

Another way is to have a small

capillary, and then you push

the liquid through that,

and the viscosity you measure

between the two methods

should be exactly the same.
</details>

- 迈斯纳选择了第一种方法的变体。他将一个通过扭丝相连的圆柱体浸入液氦中。然后他旋转圆柱体并松手，导致圆柱体来回摆动、发生振荡。

<details><summary>Original English</summary>
- Misener chose a variation

of the first method.

He submerged a cylinder that was connected

through a torsion fiber in liquid helium.

He then rotated the cylinder

and let go, causing the

cylinder to swing back

and forth to oscillate.
</details>

通过观察它振荡了多久，他就能确定黏度。它振荡的时间越长，受到的摩擦力必定越小，因此黏度就越低。

<details><summary>Original English</summary>
Now, by watching how long it oscillated,

he could determine the viscosity.

The longer it oscillated,

the less friction it must

experience, so the lower the viscosity.
</details>

而他的发现是，在 4.2 开尔文时，其黏度大约是空气的 14%，这已经很微小了。然后，随着他降低温度，黏度缓慢增加，直到在转变点处，它突然暴跌，不是跌到零，而是跌到大约空气的 5%。

<details><summary>Original English</summary>
And what he found was that at 4.2 Kelvin,

the viscosity was about 14%.

That of air, already tiny.

Then, as he decreased the temperature,

the viscosity slowly increased

until at the transition point,

it suddenly plummeted, not

to zero, but to about 5% that of air.
</details>

这引起了杰克·艾伦（Jack Allen）的注意，他是一位刚来到剑桥的27岁物理学家。艾伦从一位无法再使用它的人那里继承了一台氦液化器，现在他下定决心要用它来解开氦的奥秘。

<details><summary>Original English</summary>
This caught the attention of Jack Allen, a

27-year-old physicist who'd

just come to Cambridge.

Allen had inherited a helium

liquefier from someone

who could no longer use it,

and now he resolved to use it

to unravel the mysteries of helium.
</details>

当然，他也需要一些帮手，而迈斯纳看起来是完美的博士生人选，于是艾伦说服了他，两人一起继续研究氦的黏度。只不过现在他们转向了研究它的第二种方法，其运作方式大概是这样的。

<details><summary>Original English</summary>
Of course, he could use some help,

and Misener seemed like

the perfect PhD student,

so Allen convinced him,

and together, they continued

studying helium's viscosity.

Only now they turn to the

second method of studying it,

which works something like this.
</details>

我这里有一个装有两层甘油的管子。现在，如果我让它流动，会发生什么？嗯，你会以为这些层会往下落，它们确实落下了，但并不是以一种笔直直接的方式。它没有保持原有的形状。相反，它在中间被拉长了。

<details><summary>Original English</summary>
I've got a tube filled with

two layers of glycerol.

Now, if I let it flow,

what's going to happen?

Well, you'd expect the layers

to drop, which they do,

but not in a straightforward way.

It doesn't maintain its shape.

Instead, it stretches out in the middle.
</details>

发生的事情是，如果你放大看，你会发现靠近管壁的分子被卡住了，它们受到了摩擦力，然后从它们身边滑过的分子又与这些分子产生摩擦。这种内摩擦基本上就是黏度的本质。

<details><summary>Original English</summary>
What's happening is that

if you zoom in, you'd find

that the molecules near

the wall get stuck,

they experience friction,

and then the molecules

sliding past them experience

friction with those molecules.

The internal friction is

basically what viscosity is.
</details>

通常来说，如果你把通道变小，流速应该会下降；如果你对液体加压，流速应该会增加。现在，通过仔细追踪当你改变这些参数时情况如何变化，你就能确定黏度。

<details><summary>Original English</summary>
In general, if you make

the channel smaller,

the flow rate should decrease,

and if you push on the

liquid, it should increase.

Now, by carefully keeping track of

how things change when you

alter these parameters,

you can determine the viscosity.
</details>

1937年11月，艾伦和迈斯纳在大约1开尔文的温度下对液氦进行了这种实验的一个版本。他们让它流过一根粗毛细管和一根细毛细管，结果发现通过两者的流动速度几乎相同，尽管那根细毛细管的表面积要小上一千倍。

<details><summary>Original English</summary>
In November of 1937, Allen

and Misener did a version

of this experiment

with liquid helium at around one kelvin.

They let it flow through

one wide capillary

and one narrow one, and they

found that the flow speed

through both was almost the same,

despite the narrow one

having a surface area a

thousand times as small.
</details>

更诡异的是，当压力增加时，速度几乎没有任何变化。他们的结论是，根据我们的数据，任何已知公式都无法给出一个具有多少意义的黏度值。据他们所知，黏度根本不存在。

<details><summary>Original English</summary>
Even weirder was

that the speed hardly changed

when the pressure increased.

They concluded that any known

formula cannot, from our data,

give a value of the viscosity,

which would have much meaning.

As far as they could tell, the

viscosity was non-existent.
</details>

- 他们知道自己手里掌握着极其珍贵的成果，对吧？他们知道这是一个，可以说是重磅炸弹般的结果。

<details><summary>Original English</summary>
- They know they've got gold

on their hands here, right?

They know this is a, like

a bombshell of a result.
</details>

- 于是他们花了接下来的三周时间确保自己没有犯任何错误。他们重复了所有的实验，完成了他们需要的所有其他测量，准备把它写成论文。

<details><summary>Original English</summary>
- So they spent the next three

weeks making sure they hadn't

made any mistakes.

They repeated all the experiments

and did all the other measurements they

needed, ready to write it up.
</details>

- 但就在最后一天，卡皮查的一位老学生带着一封来自卡皮查的信走了进来。

<details><summary>Original English</summary>
- But then on the last day, one

of Kapitsa's old students walks in

with a letter from Kapitsa.
</details>

### 超流现象与理论解释

- “卡皮查是谁？嗯，还记得艾伦是从一个无法再使用它的人那里继承了那台液化器吗？嗯，那个人就是苏联物理学家彼得·卡皮查（Pyotr Kapitsa）。在艾伦之前，是他建造了那台液化器并管理着实验室。

<details><summary>Original English</summary>
- "Who's Kapitsa? Well,

remember that allen had inherited

that liquefier from someone

who couldn't use it anymore?

Well, that was Soviet

physicist Pyotr Kapitsa.

He built the liquefier and

ran the lab before allen.
</details>

但在1934年夏天的一次返乡之旅中，斯大林没收了他的护照。他必须留在苏联工作和生活，在过去的几年里，卡皮查在那里一直在重建他的实验室，几乎没有告诉任何人他究竟在研究什么。

<details><summary>Original English</summary>
But then during a trip back

home in the summer of 1934,

Stalin had his passport confiscated.

He was to work and stay

in the Soviet Union, where

for the past few years, Kapitsa

had been rebuilding his lab,

telling almost no one exactly

what he was working on.
</details>

但艾伦和迈斯纳马上就要知道了。

<details><summary>Original English</summary>
But Allen and Misener

were about to find out.
</details>

- 他做了一模一样的实验，发现黏度小到几乎消失，并给《自然》（Nature）杂志的编辑寄去了一封信，表示如果他们能尽快发表，他将非常感激。“不用麻烦把校样寄到莫斯科给我了。太耗费时间了。”他刚刚抢先发表了这个老实验室的成果。

<details><summary>Original English</summary>
- He had done the same sort of experiment,

found the viscosity was vanishingly small,

and send a note to the editor of Nature

that he would be very grateful

if they could publish it

as soon as possible.

Don't bother to send the

proofs to me here to Moscow.

It takes too much time. He had

just scooped this old laugh.
</details>

- 他知道自己发现了什么，并争分夺秒地抢着发表。艾伦和迈斯纳都吓坏了，但在接下来的四天里，他们把所有的结果都写了出来，也寄给了《自然》杂志。

<details><summary>Original English</summary>
- He knew what he had

and he raced to publish.

Allen and Misener were freaking out,

but over the next four days,

they wrote up all their results

and also sent it to nature.
</details>

1938年1月8日，两篇论文并排刊登，报道了小到近乎消失、甚至可能为零的黏度。接着，类比超导体，卡皮查将其称为超流体。

<details><summary>Original English</summary>
On the 8th of January, 1938,

the two papers appeared side

by side, reporting the

vanishingly small viscosity,

perhaps even zero.

And then in analogy to superconductors,

Kapitsa called it a superfluid.
</details>

这是所有人一直在等待的突破，因为它终于开始解释他们一直以来看到的某些奇怪现象。在 2.17 开尔文以上，氦只是一种普通的流体，具有内摩擦或黏度，所以当它流经微小的裂缝时，部分氦会附着在管壁上。

<details><summary>Original English</summary>
This was the breakthrough

everyone had been waiting for

because it finally began to explain some

of the strange things they'd been seeing.

Above 2.17 Kelvin, helium

is just a normal fluid

and it has internal friction

or viscosity, so when it flows

through tiny cracks, part

of it gets stuck to the walls.
</details>

现在就那个桶的情况而言，底部是由聚合物气凝胶制成的，里面布满了宽达几十纳米的微观通道。那是如此之小，以至于氦完全被吸附固定在管壁上，无法流过去。

<details><summary>Original English</summary>
Now, in the case of the

bucket, the bottom is made

of a polymer aerogel, which is filled

with microscopic channels up

to tens of nanometers across.

That's so small

that the helium gets fully

clamped to the walls.

It can't flow through.
</details>

但是当你冷却到 2.17 开尔文以下时，氦发生转变，现在它可以突然毫无摩擦地穿过微小的裂缝，于是就直接从底部渗漏了出去。

<details><summary>Original English</summary>
But as you cool down below 2.17 Kelvin,

the helium transforms,

and now it can suddenly

pass through tiny cracks

with no friction, so it leaks

straight through the bottom.
</details>

这也解释了那个小杯子当时发生的事情。怎么解释呢？还记得那些使每个原子相互吸引的范德华力吗？在氦原子之间，这种力非常微弱；但杯壁上的原子外层有更多的电子，因此电荷不平衡变得更大。

<details><summary>Original English</summary>
It also explained what was

happening with the little cup.

How? Well, remember

those van der Waals forces

that cause every atom

to attract every other?

Well, between helium

atoms, they're very weak,

but the atoms in the walls

of the cup have many more

electrons in their outer shell,

so the charge imballences become larger.
</details>

结果就是，氦原子被杯壁吸引的力量远大于彼此之间的吸引力。于是它们沿着杯壁向上攀爬，并在几秒钟内将整个表面浸润上一层大约 30 纳米厚的薄层。

<details><summary>Original English</summary>
And as a result, the helium

atoms are much more strongly

drawn to the wall than to each other.

So they climb up the wall

and within seconds wet the

entire surface with a layer

that's around 30 nanometers thick.
</details>

并且因为这层薄膜的底部低于液面，它现在起到了虹吸管的作用。普通的流体无法流过去，因为它会受到摩擦，但超流体可以，所以它向上流越过杯壁，直到从底部滴落出来。

<details><summary>Original English</summary>
And because the bottom

of this thin sheet is

below the liquid layer,

it now acts as a siphon.

Normal fluid can't flow through

because it experiences friction,

but superfluid can, so it flows up

and over the walls until

it drips out the bottom.
</details>

尽管超流体的概念解释了这一切，它也引发了一个更为根本的问题：你是如何得到超流体的？

<details><summary>Original English</summary>
But for all the idea of

a superfluid explained,

it also raised a much

more fundamental question.

How do you get a superfluid?
</details>

- 比如说如果它真的是零，我希望你想想那有多疯狂，对吧？因为如果我们回过头看，好吧，这个黏度到底是什么？它是分子之间的内部摩擦。因此，如果黏度真的是零，这意味着有大约十亿个十亿粒子都在穿过这个管道，却没有一个粒子从任何东西上反弹并损失一些能量，或者相互碰撞并损失能量。它们必须全都完美地流动，并且不知怎的没有损失丝毫的能量。这看起来太荒谬了。

<details><summary>Original English</summary>
- Like if it is actually zero,

I want you to think about

how crazy that is, right?

Because if we think back to,

okay, what is this viscosity?

It's internal friction

between the molecules.

So if you have actually

zero viscosity, it means

that you have like a billion,

billion particles all

traveling through this pipe

and not a single one is

bouncing off of anything

and losing some energy or bouncing into

each other and losing energy.

They all must flow perfectly

and somehow not lose a

single bit of energy.

It seems preposterous.
</details>

- 在《自然》论文发表后的两个月内，弗里茨·伦敦（Fritz London）提出了一种可能的机制。有一篇来自13年前被遗忘的论文。它预言，如果你不断冷却某种类型的粒子，原子就会进入一种奇特的状态。而那篇被遗忘论文的作者不是别人，正是阿尔伯特·爱因斯坦。

<details><summary>Original English</summary>
- Within two months of the nature papers,

Fritz London proposed

a possible mechanism.

There was this forgotten

paper from 13 years earlier.

It predicted that if you just

kept cooling down a certain

type of particle, then

the atoms would fall

into an exotic state.

And the author of that

forgotten paper was none other

than Albert Einstein.
</details>

为了理解爱因斯坦预测了什么，思考一下这个粒子平面。它们互不相互作用，可以自由地向各个方向以不同的速度和不同的动能运动。

<details><summary>Original English</summary>
To understand what Einstein had predicted,

consider this plane of particles.

They're not interacting

and they're free to move

around in every direction

with different velocities and

different kinetic energies.
</details>

在室温下，你可以简单地将它们视为点粒子，但如果你开始将它们冷却，爱因斯坦意识到的是，情况不再是这样了，因为此时量子理论开始发挥作用。而根据该理论，粒子不仅是粒子，它们还具有波动性。

<details><summary>Original English</summary>
Now at room temperature,

you can just think of them

as point particles,

but if you start cooling them down,

what Einstein realized is that, well,

this is no longer the case

because now quantum theory

starts to play a role.

And according to that

theory, particles aren't just

particles, they also have

a wave-like character.
</details>

- 也就是所谓的波粒二象性，量子波函数会告诉你如果你试图测量其位置，它可能被发现的概率。

<details><summary>Original English</summary>
- So-called wave particle

duality, the quantum

wave function tells you the likelihood of

where it would be found if you were

to try to measure its location.
</details>

- 这里重要的事情是，这些波的波长，或者说它们铺展的范围，等于普朗克常数除以它们的动量（即质量乘以速度）。

<details><summary>Original English</summary>
- The important thing here

is that the wavelength

of these waves or how

spread out they are is equal

to planks constant over their momentum

or mass times velocity.
</details>

- 所以如果你冷却这些粒子，每个粒子平均拥有的动量越来越少，它们的量子波长（或德布罗意波长）就会变长。因此，最终与那些看似独立的每个粒子相关联的这种量子态开始散开并重叠。这种在空间中的可分辨性开始消融。

<details><summary>Original English</summary>
- So if you're cooling

these particles down,

they on average have less

and less momentum per particle,

their quantum wavelength

or the de Broglie wavelength gets longer.

And so eventually the sort

of quantum state associated

with each of those seemingly

independent particles starts

to smoosh out and overlap.

This distinguishability in

space starts to melt away.
</details>

- 接下来发生什么，取决于你冷却的是哪种粒子。宇宙中的每一个粒子都属于两种之一：要么是玻色子，要么是费米子。费米子是你熟悉的大多数粒子，比如质子、中子和电子；而玻色子是像光子这样的粒子。

<details><summary>Original English</summary>
- What happens next depends on which kind

of particle you're cooling down.

Every particle in the

universe is one of two kinds.

It's either a boson or a fermion.

Fermions are most of the

particles you're familiar with,

like protons, neutrons and electrons,

and bosons are particles like photons.
</details>

你可以通过观察两个全同不可分辨的粒子来看出玻色子和费米子之间的区别。现在，单个粒子只有自己的波函数，但如果你把它们两个放在一起，特殊的事情发生了。它们会获得一个描述它们两者的联合波函数。

<details><summary>Original English</summary>
You can see the difference between bosons

and fermions by looking at two

indistinguishable particles.

Now, one particle just

has its own wave function,

but if you take two of them together,

something special happens.

They get a combined wave function

that describes both of them together.
</details>

在玻色子的情况下，如果你能看到那个波函数，你会看到它在两边是相同的，也就是说它是对称的。但如果那些粒子是费米子，那么它们的联合波函数在两边是相反的。它是反对称的。

<details><summary>Original English</summary>
In the case of bosons, if you

could see that wave function,

you'd see it's the same on both sides,

that is it's symmetric.

But if those particles are fermions,

then their combined wave function is the

opposite on both sides.

It's anti-symmetric.
</details>

现在我想让你思考一下，如果你试图把这些粒子移到一起，这意味着什么。在玻色子的情况下，波函数的两侧相加，你直接得到处在同一位置或状态的两个玻色子。

<details><summary>Original English</summary>
Now I want you to think about

what this means if you try

to move those particles together.

In the case of the bosons, the two sides

of the wave function add up

and you just get two bosons

in the same place or state.
</details>

但现在尝试对费米子做同样的事情。你会得到一个波峰与一个波谷重叠，它们会相互抵消。但这将意味着突然之间在任何地方找到粒子的概率变成了 0%，这根本讲不通。它们必须在某个地方存在。所以

<details><summary>Original English</summary>
But now try doing the same for fermions.

You get one peak to

overlap with one valley

and they'd cancel out.

But that would suggest that all

of a sudden there's a 0% probability

of finding the particles anywhere,

which doesn't make any sense.

They have to be somewhere. So
</details>

<!-- chunk 4/6 -->

这实际上告诉我们的是，两个不可区分的费米子永远不能占据同一个量子态。这就是著名的泡利不相容原理，也是为什么像电子这样的粒子永远不可能处于完全相同的状态。如果你正在冷却的粒子是费米子，那么它们就会像爬梯子一样，从最低能态开始向上填充更高的能态，每个量子态只能容纳一个费米子。

<details><summary>Original English</summary>
what this is really telling us is

that two indistinguishable

fermions can never occupy

the same quantum state.

This is known as Pauli's

exclusion principle,

and it's why particles like

electrons can never be in

exactly the same state.

If the particles you're

cooling down are fermions,

then they start filling up the

energy states like a ladder

from lowest to the higher states,

with only one fermion per quantum state.
</details>

但玻色子没有这种限制。它们非常乐意共享同一个量子态。当你不断冷却它们时，越来越多的粒子开始占据越来越低的能级。爱因斯坦意识到，到了某个特定节点，会有宏观比例的粒子突然凝聚到最低能态（即基态），在这种情况下，基态就是它们完全静止的状态。

<details><summary>Original English</summary>
But bosons don't have this restriction.

They're very happy to share

the same quantum state.

When you keep cooling them down, more

and more of them start to occupy lower

and lower energy levels.

And Einstein realized there comes a point

where a macroscopic portion

suddenly condenses into the

lowest energy state

or ground state, which

in this case is just when

they're completely still.
</details>

- 这些微小的粒子实际上能以这样一种方式运作：可以说是失去它们的、它们的个体性，它们可以表现为一个单一的相干物质态，一种全新的、没有对应类似物的物质态。

<details><summary>Original English</summary>
- These little particles

could actually act in a way

where they would sort of

lose, so to speak, their,

their individuality, that they could act

as a single coherent state

of matter, a whole new state

of matter that had no analog.
</details>

- 这后来被称为玻色-爱因斯坦凝聚，以玻色的名字命名，因为爱因斯坦的工作是建立在他的研究之上的。但爱因斯坦怀疑这是否能在现实生活中发生。他写道：“理论很漂亮，但它也有某种真实性吗？”13年后，伦敦（London）认为可能确实如此，超流氦或许就是一种玻色-爱因斯坦凝聚。

<details><summary>Original English</summary>
- This became known as a

bose Einstein condensate

after Bose whose work

Einstein was building on.

But Einstein doubted this

could happen in real life.

He wrote, "The theory is pretty,

but is there also some truth

to it?" 13 years later,

London believed there might be

and that perhaps superfluid helium was a

bose Einstein condensate.
</details>

乍一看这似乎不可能，因为氦是由质子、中子和电子组成的，而这些每一个都是费米子。所以你会期望氦也是费米子。别忘了，费米子是不能共享同一个状态的，但氦并不是费米子。玻色子和费米子在另一个根本方面有所不同：它们的固有角动量，即自旋。对于玻色子，这总是一个整数，零、一、二、三等等。但费米子总是有半整数自旋，比如二分之一。

<details><summary>Original English</summary>
At first, that might seem impossible

because helium is made

up of protons, neutrons,

and electrons, and every

one of those is a fermion.

So you'd expect helium

to be a fermion too.

And remember, fermions

can't share the same state,

but helium is not a fermion.

bosons and fermions differ

in one other fundamental way,

their intrinsic angular momentum or spin.

For bosons, this is always

an integer number, zero, one,

two, three, and so on.

But fermions always have a

half integer spin, like a half.
</details>

那么，如果有多个费米子组合在一起，比如在一个原子里，会发生什么呢？这时你必须把它们的自旋加在一起，得到原子的总自旋，然后用它来看看它到底是一个玻色子还是一个费米子。就氦而言，它有六个半自旋粒子，所以无论你怎么把它们相加，最终总会得到一个整数。

<details><summary>Original English</summary>
So what happens if you

have multiple fermions

together, say in one atom?

Well, now you have to

add their spins together

to get an overall spin for the atom,

and then use that to see whether

it's a bozon or a fermion.

In the case of helium, which

has six half spin particles,

then no matter how you add them up,

you always end up with an integer number.
</details>

因此，氦原子的行为表现为玻色子。当你把它们冷却到2.17开尔文以下时，原子中会有宏观比例凝聚到最低能态。它们失去了各自的个体性，大约一万亿亿个原子完全步调一致地行动。通常你认为波函数是这些微小微小的东西，但在这里它简直就和容器一样大。就好像转变之后，氦变成了一个巨大的原子，所有这些原子都合而为一。

<details><summary>Original English</summary>
As a result, helium

atoms behave as bosons.

And as you cool them

down below 2.17 Kelvin,

a macroscopic fraction

of the atoms condense into

the lowest energy state.

They lose their individuality

and about a trillion trillion

atoms all behave as one.

Normally, you think of wave functions

as these teeny tiny things,

but here it's literally

the size of the container.

It's as if after the transition,

the helium has turned into

one big atom with all these

atoms behaving as one.
</details>

- 这就是用肉眼看到的量子力学。

<details><summary>Original English</summary>
- This is quantum mechanics

with your own eyes.
</details>

- 它会让你以一种不同的方式看待物质。它让我们能够探索量子物质与常规物质之间的边界。

<details><summary>Original English</summary>
- And it makes you look at

matter in a different way.

It allows us to explore

the boundary of quantum

and regular matter.
</details>

### 玻色-爱因斯坦凝聚与超流的矛盾

所以看起来我们已经解开这个谜题了。原子处于最低能态。它们失去了个体性，步调一致地行动，所以它们不能散射，流动时的内部摩擦为零。这就是我最初理解超流体的方式，也是我会向任何想了解的人解释的方式。我的意思是，这讲得通，大家都很满意。唯一的问题在于它是错的。

<details><summary>Original English</summary>
So it seems like we've solved it.

The atoms are in the lowest energy state.

They've lost their individuality

and act as one, so they can't scatter

and they flow with zero internal friction.

That's how I first understood superfluids

and how I'd explain it to

anyone who wanted to know.

I mean, it made sense and we're all happy.

The only problem is that it's wrong.
</details>

我的意思是，第一个问题是，在玻色-爱因斯坦凝聚（BEC）中，所有原子都占据粒子处于静止的状态，但在超流体中，它们是在流动的。也许这个问题可以辩解，因为你可以想象沿着超流体一起运动，并找到一个它实际上处于静止的参考系，但还有一个更大的问题，那就是在无相互作用的玻色-爱因斯坦凝聚中，哪怕是极微小的推力也能激发其中的任何原子。因此，如果你尝试让它流动，最轻微的扰动都会把原子撞出基态。它们会发生散射，而流动也会损失能量。所以显然仅仅有BEC是不够的。你还需要别的东西，但那是什么呢？

<details><summary>Original English</summary>
I mean, the first issue is that in a BEC,

all the atoms occupy the state

where the particles are at rest,

but in a superfluid, well, they flow.

Maybe that issue could be excused

because you could imagine moving

along with the superfluid

and finding a frame in which

it effectively stands still,

but there's an even

bigger problem, which is

that in a non-interacting

Bows Einstein condensate,

even the tiniest push can

excite any of the atoms.

So if you'd try to let it flow,

the smallest disturbance would knock

atoms out of the ground state.

They would scatter and the

flow would lose energy.

So clearly a BEC alone isn't enough.

You need something else, but what?
</details>

### 卡皮察解救朗道

幸运的是，卡皮察（Kapitsa）确切地知道谁能解决这个问题。不幸的是，那个人在过去的一年里一直被关在斯大林的监狱里。

<details><summary>Original English</summary>
Fortunately, Kapitsa knew

exactly who could solve the problem.

Unfortunately, he had been locked

inside Stalin's prison for the last year.
</details>

- 这正值斯大林大清洗时期，当时他正在处决或监禁所有的国家敌人，无论他们是真的还是假想的。

<details><summary>Original English</summary>
- This was right around the

time of Stalin's great terror

where he was executing

or imprisoning all the enemies of state,

whether they were real or imaginary.
</details>

- 但就卡皮察想到的那位物理学家列夫·朗道（Lev Landau）而言，似乎确实有某些事实成分。朗道以天才理论家著称，他深切关心提升苏联物理学的水平。他是物理系的主任，并亲自培养了本世纪最优秀的一批物理学家。但在1930年代中期左右，他对斯大林政权产生了幻灭。据报道他曾告诉一位同事，苏联官员是“天生的劣等人”。而且根据克格勃（KGB）的档案，他被指控领导一个反革命组织。

<details><summary>Original English</summary>
- But in the case of Lev Landau,

the physicist Kapitsa was thinking about,

it seems like there was some truth to it.

Landau was known as a genius theorist

who cared deeply about

elevating Soviet physics.

He was the head of the physics department

and personally trained some

of the best physicists of the century.

But around the mid 1930s,

he became disillusioned

with Stalin's regime.

He reportedly told one colleague

that Soviet officials were

"born subhuman." And according

to KGB Files, he was accused

of heading a counter-revolutionary

organization.
</details>

朗道于1938年4月28日被捕，并被带到卢比扬卡监狱（Lubyanka Prison）。第一天他被迫站立了七个小时，随后是连续六天、每天12小时的劝导谈话。两个月后，朗道垮了，写下了一份长达六页的自白书。上面写道：“我们得出的结论是，党已经变质，苏维埃政府不再代表工人的利益行事，而是代表一小部分统治集团的利益。国家的利益要求推翻现政权。”

<details><summary>Original English</summary>
Landau was arrested on

the 28th of April 1938

and taken to the Lubyanka Prison.

The first day he was forced

to stand for seven hours,

followed by six days of

12-hour persuasion sessions.

After two months, Landau broke

and wrote a six-page confession.

It reads, "We came to the conclusion

that the party had degenerated

and that the Soviet government

no longer acted in the

interests of workers, but in the interests

of a small ruling group.

The interests of the country

demanded the overthrow

of the existing government."
</details>

- 那是一份相当、相当强烈的自白。

<details><summary>Original English</summary>
- That's a pretty,

pretty strong confession.
</details>

- 在那个人们无缘无故就会被处决的时代，这份自白本该意味着朗道的末日。但对他来说幸运的是，有人在为他辩护。在朗道被捕的当天早晨，卡皮察立刻给斯大林写信。他的性格，简而言之，很讨人厌。他是个恶霸兼好斗之徒，但我非常难以相信朗道会做出任何不诚实的事。朗道很年轻，他在科学上还有很多成就去完成。没有其他人能写下这一切，这就是为什么我要写信给您。

<details><summary>Original English</summary>
- This confession at a time

where people were being executed

for no reason should have

meant the end for Landau.

But fortunately for him, he

had someone defending him.

The morning Landau got arrested,

Kapitsa immediately wrote to Stalin.

His character, to put it simply, is nasty.

He is a bully and a brawler,

but I find it very hard to

believe that Landau was capable

of anything disOnnes.

Landau is young and he still has much

to accomplish in science.

No one else can write about all of this,

which is why I'm writing to you.
</details>

斯大林从未回复。因此一年后，卡皮察给斯大林最亲密的盟友之一写了信。他告诉对方自己是如何发现超流性的，而且除了朗道，没有任何理论物理学家能够解释它。三周后，卡皮察被传唤到监狱。正如他回忆的那样：“我是在凌晨一点被传唤的。他们把我护送进一间坐着两个人的大办公室。‘你明白你在为谁求情吗？他是一个极度危险的罪犯，一个对所有罪行都供认不讳的间谍。’我们谈到了凌晨四点。接近尾声时，其中一个人说：‘好吧，卡皮察，如果你用信誉为朗道担保，那就给我们写一份书面保证。如果发生任何事情，你将被追究责任。’”

<details><summary>Original English</summary>
Now, Stalin never replied.

So a year later, Kapitsa wrote to one

of Stalin's closest allies.

He told him how he had

discovered superfluidity

and that no theorist other

than Landau could explain it.

Three weeks later, Kapitsa

was summoned to the prison.

As he recalled, "I was

summoned at 1:00 AM.

They escorted me to a big

office occupied by two men.

Do you understand for

whom you are pleading?

He's a most dangerous

criminal, a spy who confessed

to everything." We talked

till four in the morning.

Towards the end, one of them

said, "All right, Kapitsa,

if you pledge your word for Landau,

then give us a written guarantee.

If anything happens, you

will be held responsible."
</details>

卡皮察写下了保证书，两天后，朗道出现在研究所，准备重新投入到他最热爱的事业中——物理学。卡皮察冒了极大的风险。现在轮到朗道来证明自己能胜任这项任务了，而超流氦也变得愈发耐人寻味。

<details><summary>Original English</summary>
Kapitsa wrote the letter

and two days later, Landau

turned up at the institute, ready

to get back to what he

loved doing most, physics.

Kapitsa had put his neck on the line.

Now it was up to Landau to

prove he was up to the task,

and superfluid helium had

only gotten more interesting.
</details>

### 喷泉效应与集体激发

早在1938年1月，也就是《自然》（Nature）论文发表仅几天后，艾伦（Allen）就在研究超流氦是如何导热的。为此，他把一些金刚砂粉（基本就是细沙）装进一个底部开孔的玻璃灯泡里。为了看清发生了什么，他用手电筒照向它。据他所说，当装有金刚砂粉的管子映入眼帘时，氦从管子顶部喷涌而出。只要光照在粉末上，它就继续喷射，而当一张卡片挡住光线时，喷射就停止了。艾伦后来向皇家学会展示了这种没有活动部件的喷泉，期间著名作家H·G·威尔斯（H.G. Wells）还爬到桌子底下寻找隐藏的泵，但一无所获。

<details><summary>Original English</summary>
Back in January 1938, just days

after the nature papers, allen was studying

how superfluid helium conducts heat.

To do this, he packed some Emery powder,

basically fine sand, in a

glass bulb with an open bottom.

To see what was happening, he

shone his pocket torch at it.

And according to him, as the

Emery powder tube came into

view, helium spurted

out the top of the tube.

It continued to spurt as long

as the light shone on the powder

and ceased when a card cut off the light.

allen later showed this

fountain with no moving parts

to the Royal Society, during

which famous writer H.G.

Wells crawled under the table looking

for a hidden pump, but found nothing.
</details>

- 是的，所以我们定制了这种专门的装置。它是一整块玻璃。里面完全没有接缝。过滤圆盘是熔接在里面的，然后里面只装满了碳石，我们只要用强光照射加热它，就能驱动喷泉流动。

<details><summary>Original English</summary>
- Yeah, so we had this

kind of specialist made.

It's a single piece of glass.

There are no seams in it whatsoever.

The filtered disc is fused in,

and then it's just filled

with carbon stones,

and we just hit it with a bright light

that heats it up, drives

the fountain flow.
</details>

- 太神奇了。祈祷好运。你们准备好了吗？三，二，一。用手电照它。哇！可以啊。走起。什么？太离谱了。

<details><summary>Original English</summary>
- Amazing. Fingers

crossed. You guys ready?

Three, two, one. Torch it.

Woah! Yeah.

Let's go. What?

That's absurd.
</details>

- 太棒了。呼。走起。

<details><summary>Original English</summary>
- That's awesome. Woo. Let's go.
</details>

- 那么当时到底发生了什么？光线怎么能导致氦喷射出来呢？

<details><summary>Original English</summary>
- So what was happening?

How could light cause

the helium to shoot out?
</details>

- 现在任何理论都必须把所有这些现象考虑在内。所以对于理论家来说，这是一项非常繁重的任务。

<details><summary>Original English</summary>
- Any theory now had to take

into consideration all these phenomena.

So for theoreticians

was a really heavy task.
</details>

- 朗道在接下来的八年里都在致力于解决这个问题。他首先考虑的是在绝对零度下流动的超流体，他意识到了伦敦所遗漏的东西：原子之间的力。在玻色-爱因斯坦凝聚中，粒子之间没有作用力，结果就是，一次轻推就能把单个原子打出最低能态，从而轻易产生摩擦。但在液氦中，情况并非如此。原子之间存在相互作用，所以如果你推其中一个，你就是在推它们中的一堆。

<details><summary>Original English</summary>
- Landau spent the next

eight years working on it.

He started by considering a

superfluid flowing at absolute

zero, and he realized

what London had left out,

the forces between atoms.

In a Bose Einstein condensate,

there are no forces

between particles, and as a result,

a push can knock a single atom out

of the lowest energy state,

resulting in easy friction.

But in liquid helium,

this is not the case.

The atoms interact, so if you push on one,

you're pushing on a bunch of them.
</details>

朗道意识到这种刚性意味着，在超流体中产生激发并在流动中损失能量的唯一途径，就是通过原子的集体运动。他指出这些激发主要有两种形式。第一种是，如果你推得足够用力，会使原子相互碰撞并在整个流体中产生波纹，基本上就是声波，只不过是被称为声子的量子化版本。类似于光子是光的粒子，这些是声音的粒子。

<details><summary>Original English</summary>
Landau realized that this rigidity meant

that the only way you can

create excitations in a superfluid

and lose energy in the flow is

through the collective

motion of the atoms.

He argued that these excitations

come in two main flavors.

The first is that if you push

hard enough, you get the atoms

to bump into each other

and create ripples throughout the fluid,

basically sound waves,

just a quantized version

of them called phonons.

Similar to how photons

are particles of light,

these are particles of sound.
</details>

第二种激发是被称为旋子的东西，因为最初人们认为它们是微小的旋涡，但现在它们被看得更像是一片原子在瞬间自发排列成晶格。你几乎可以把它们想象成固体的微小幽灵。就像声子一样，产生一个旋子既需要消耗能量也需要消耗动量。因此朗道认为，这些声子和旋子是流动损失能量的唯一途径。

<details><summary>Original English</summary>
The second kind of excitation

is something known as a roton,

because originally people

thought of them as tiny whirls,

but now they're seeing

more like a patch of atoms

that suddenly orders themselves

into a crystal lattice just

for a split second.

You can think of them almost

as tiny ghosts of a solid.

And just like a phonon

creating a roton costs both

energy and momentum.

So Landau argued that these phonons

and rotons were the only way

that the flow could lose energy.
</details>

- 你可能会想，好吧，你知道制造一个声波很容易。比如我所要做的就是敲击它，对吧？也就是说在产生一个声子需要多少能量方面，它可以是非常少的能量。可以要多小就有多小，但你不仅要遵守能量守恒，你还必须守恒动量。所以当你推它时，或者当液体撞到某物时，它都需要同时满足能量守恒和动量守恒。

<details><summary>Original English</summary>
- And you're like, okay,

well, it's quite easy,

you know, to make a sound wave.

Like all I have to do

is knock on it, right?

That in terms of like

how much energy it takes

to create a phonon, it

can be very little energy.

It can be as little energy as you want,

but you don't just have

to conserve energy.

You also have to conserve momentum.

So when you push on it

or when the liquid bumps

into something, it both needs

to satisfy conservation of energy

and conservation of momentum.
</details>

而且存在一个非常优美的关系，确切地告诉你声子的动量如何与声子的能量相对应，它与材料中的声速相关联。因此，能够同时满足这两个约束条件的唯一方式，就是流动的速度至少要达到声速，而这在氦-4（氦II）中是非常快的。我想大约是每秒220或240米。他意识到，旋子会更容易产生一点。我想现代测量值大约是每秒60米，但这仍然相当大。

<details><summary>Original English</summary>
And there is a very nice

relationship that tells you exactly

how the momentum of a phonon

corresponds to the energy

of a phonon, and it's

connected with the speed

of sound in a material.

And so the only way you can

satisfy both constraints is if

the flow is going at

least the speed of sound,

which in helium two is very fast.

It's about, I think, 220

or 240 meters per second.

Rotons, he realizes, can get

created a little bit easier.

I think the modern value is about 60

meters per second, but it's still a lot.
</details>

- 所以在朗道的理论中，在大约每秒60米以下，流动无法产生哪怕单个声子或旋子。原子都保持在基态，没有任何能量损失。因此，并不是说超流体中的摩擦力小到可以忽略不计。朗道证明了它严格为零。摩擦是被禁止的。在实践中，其他激发会在更低的速度下产生，因此超流性被破坏时的实际流速会更低。

<details><summary>Original English</summary>
- So in Landau's theory, below

about 60 meters per second,

the flow can't create a

single phonon or roton.

The atoms all stay in the ground state

and no energy is lost.

So it's not that the

friction is vanishingly

small in a superfluid.

Landau proved that it's strictly zero.

Friction is forbidden.

In practice, other excitations

are created at lower speeds

and therefore the actual flow

rate at which superfluidity

breaks down is lower.
</details>

但如果摩擦力确实为零，那意味着别的事情。你应该能够让超流体在一个环路中流动，一旦流动起来，它就应该像永动机一样一直转下去。1964年，耶鲁大学的两位物理学家对此进行了测试。他们让超流氦在一叠薄环中循环并等待着。他们发现，无论他们等待5分钟还是超过12小时，流动都依然一样强劲。

<details><summary>Original English</summary>
But if the friction is actually zero,

that implies something else.

You should be able to get a

superfluid flowing in a loop,

and once it's going, it

should just keep going like a

perpetual motion machine.

In 1964, two physicists

at Yale tested this.

They got superfluid

helium circling in a stack

of thin rings and waited.

And what they found was

that no matter whether

they waited five minutes

or more than 12 hours, the

flow was just as strong.
</details>

- 但是既然如此，你知道，如果摩擦力为零，迈斯纳（Misener）怎么可能，你知道，当他做那个类似扭秤实验的时候，他测出的不是零呢。

<details><summary>Original English</summary>
- But then, you know,

if the friction is zero,

how is it possible that Misener, you know,

when he did his like torsion

experiment, he didn't measure zero.
</details>

<!-- chunk 5/6 -->

- 液体不只是从液体上方流过，就像你在里面放了一个圆柱体之类的东西？
<details><summary>Original English</summary>
- The liquid wasn't just

passing over liquid,

like you had like a cylinder

of something in there?
</details>

- 是的。- 是的。我不知道。它是来自金属丝吗？还是来自圆柱体？比如不同的材料？它究竟来自哪里？
<details><summary>Original English</summary>
- Yep. - Yep. I don't know.

Is it coming from the wire?

Is it coming from the cylinder?

Like the different materials?

What is it coming from?
</details>

- 你的直觉会认为迈斯纳一定是哪里做错了。他没有。两个实验结果都是真实的。怎么可能两个都正确呢？
<details><summary>Original English</summary>
- Your instinct is

that Misener must have

done something wrong.

He didn't. Both experiments

are true. How can both be true?
</details>

- 你们测量的是不同的东西。我不知道，但你们是怎么测量出不同东西的？
<details><summary>Original English</summary>
- You're measuring different things.

I don't know, but how are you

measuring different things?
</details>

### 双流体模型

这正是朗道工作的第二部分发挥作用的地方。到目前为止，朗道只研究了绝对零度下的流体，但所有真实的实验都是在更高温度下进行的。因此接下来他思考的是：如果它在某个有限温度下流动会怎样？为了解决这个问题，他借鉴了蒂萨的研究成果，蒂萨曾提出低于2.17开尔文的氦表现为两种流体的混合物。一种是超流体。它实际上处于绝对零度。它不携带热量，流动时没有摩擦。你可以把它看作是背景流体。第二种是普通流体，由声子和旋子组成。它携带所有的热量并且具有粘性。在绝对零度时，整个流体都是超流体，但随着温度升高，部分超流体转变为普通流体。超流体成分的比例减少，普通流体的比例增加，直到在2.17开尔文时，超流体成分降为零。
<details><summary>Original English</summary>
This is where the second part

of Landau's work comes in.

So far, Landau had only looked

at a fluid at absolute zero,

but every real experiment

happened at higher temperatures.

So next he considered what if it flows at

some finite temperature?

To do this, he built on the

work of Tisza, who suggested

that helium below 2.17 Kelvin acts

as a mixture of two fluids.

One is the superfluid. It's

effectively at absolute zero.

It carries no heat and

flows without friction.

You can think of this

as the background fluid.

And the second is the normal

fluid, which is made up

of the phonons and rotons.

It carries all the heat and has viscosity.

At absolute zero, the

whole fluid is superfluid,

but as it heats up, part

of the superfluid

turns into normal fluid.

The superfluid fraction decreases

and the normal fraction

increases until at 2.17 Kelvin,

the superfluid component is zero.
</details>

- 现在，如果你观察流体中的一个原子并问：“那是超流体还是普通流体？”嗯，这很难说，因为超流体原子在不断地与普通流体原子交换能量。
<details><summary>Original English</summary>
- Now, if you were to look

at one atom in the fluid

and say, "Is that superfluid

or normal fluid?" Well, it's hard to tell

because the superfluid atoms

are constantly exchanging

energy with the normal fluid atoms.
</details>

- 当然。- 所以任何一个原子都在这两种模式之间不断地来回跃迁。
<details><summary>Original English</summary>
- Sure. - So any one atom

is constantly bouncing up

and down between these two modes.
</details>

- 现在，只有超流体能够流经微小的通道。所以当艾伦和迈斯纳把氦压过他们的毛细管时，他们只测量了超流体部分，并发现粘度为零。但是迈斯纳的扭摆实验处于这两种流体的混合物中。因此圆柱体感受到了来自普通流体的粘度。迈斯纳并没有犯错，他们只是在测量不同的东西。一旦你知道你要寻找的是什么，你也可以在物理上亲眼看到这种效应。就在转变温度以下，比如在2.15开尔文时，只有大约13%的氦是超流体。所以只有那13%能够从底部渗漏出来，你看到的是一滴一滴地滴下。但如果你把它冷却到1.5开尔文，现在大约89%都是超流体了。能够流过的氦几乎是原来的七倍，所以它直接从底部倾泻而出。
<details><summary>Original English</summary>
- Now, only the superfluid

can flow through tiny channels.

So when Allen and Misener pushed helium

through their capillaries,

they only measured the super

fluid part and they

found a zero viscosity.

But Misener's torsion experiment sat in a

mixture of both fluids.

So the cylinder felt the

viscosity from the normal fluid.

Misener hadn't made a mistake,

they were just measuring different things.

And once you know what you're looking for,

you can also physically see the effect.

Just below the transition

temperature, say at 2.15 Kelvin,

only around 13% of the

helium is superfluid.

So only that 13% can leak

through the bottom and you get a drip.

But if you cool it down

to 1.5 Kelvin, well now

around 89% is superfluid.

That's almost seven times

as much helium that can flow

through, so it just pours out the bottom.
</details>

它甚至解释了光是如何驱动喷泉的。当光照到岩石上时，岩石吸收了一部分光子，并稍微升温了一点——
<details><summary>Original English</summary>
It even explains how light

can power a fountain.

When the light hits the

rocks, the rocks absorb some

of the photons and heat up a little
</details>

- 点。
<details><summary>Original English</summary>
- Bit.
</details>

- 这导致部分超流体转变成普通流体，但现在喷泉内部的超流体密度变低了，因此更多的超流体立刻从底部涌入以恢复比例。然而，那个底部就像桶底一样。它只允许超流体通过。所以普通流体无法从那条路出去。多余的氦唯一的去路就是向上喷出。于是你最终得到了这个——一个完全由光驱动的喷泉。来自光的热量转化成了喷涌而出的氦的机械能。
<details><summary>Original English</summary>
- This causes part of the superfluid

to turn into normal fluid,

but now the superfluid density is lower

inside the fountain, so more

superfluid immediately rushes

in through the bottom to

restore the proportions.

That bottom, however, is just

like the bottom of the bucket.

It only allows superfluid through.

So the normal fluid can't go out that way.

The only way the excess

helium can go is up and out.

And so you end up with this,

a fountain powered solely by light.

The heat from the light gets

turned into the mechanical

energy of the spouting helium.
</details>

### 热反流与第二声

但两种流体的作用不仅限于制造喷泉。它们改变了氦传递热量的方式。以处于λ点以下的液氦浴为例，一侧放置加热器。
<details><summary>Original English</summary>
But the two fluids do

more than make fountains.

They change how helium transfers heat.

Take a bath of liquid helium

below the lambda point

with a heater on one side.
</details>

- 与那个热表面接触的氦原子——
<details><summary>Original English</summary>
- The helium atoms that are in

contact with that hot face -
</details>

- 是的。
<details><summary>Original English</summary>
- Yeah.
</details>

- 将会获得能量。它们会沿着这个阶梯向上跳跃。
<details><summary>Original English</summary>
- Are going to gain energy. They're

going to jump up this ladder.
</details>

- 是的。- 所以它们将成为普通流体的一部分。
<details><summary>Original English</summary>
- Yeah. - So they're going to

be part of the normal fluid.
</details>

- 对。
<details><summary>Original English</summary>
- Right.
</details>

- 所以我的普通流体将流离加热器，将引入流体中的所有热量和熵带走。
<details><summary>Original English</summary>
- So my normal fluid is going

to flow away from the heater,

carrying all of the heat

and the entropy that's

imparted into the fluid away.
</details>

- 是的。- 但是随着普通流体流走——是的。超流体会倒流回来补充它。对。流体的整体密度保持不变。
<details><summary>Original English</summary>
- Yeah. - But as the normal

fluid flows away - Yeah.

The superfluid flows

back to replace it. Right.

And the overall density of

the fluid remains constant.
</details>

- 当然。
<details><summary>Original English</summary>
- Sure.
</details>

- 所以这是一种双流体热机械反流。它们基本上彼此穿流而过，就好像对方根本不存在一样。
<details><summary>Original English</summary>
- So this is a two-fluid

thermomechanical counterflow.

They basically flow through each other

like they weren't even there.
</details>

- 但你还可以再往前推进一步。想象一下周期性地改变热源的温度。会发生什么呢？产生的普通流体的量也会发生周期性变化。于是你在普通流体和超流体密度中得到了这些波动。它们向外扩散并传播开去，几乎就像一种声音。
<details><summary>Original English</summary>
- But you can take this one step further.

Imagine changing the temperature

of the heat source periodically.

What is going to happen?

Well, the amount of

normal fluid created will

also change periodically.

So you get these fluctuations

in the normal fluid

and superfluid densities.

They spread out and travel away,

almost like a sort of sound.
</details>

- 当我们想到第一声，即常规的声音时——是的。那是空气中由微小压力梯度驱动的密度波。
<details><summary>Original English</summary>
- When we think of first

sound, regular sound - Yeah.

That's density waves in the air driven

by tiny pressure gradients.
</details>

- 但在超流体中，你可以在普通成分和超流体成分中得到密度波。而且由于普通流体携带了所有的热量，这意味着你得到了温度波。
<details><summary>Original English</summary>
- But with a superfluid, you

can get density waves in the

normal and superfluid components.

And since the normal fluid

carries all the heat,

that means you get temperature waves.
</details>

- 它们可以像声波一样传播开来。
<details><summary>Original English</summary>
- And they can spread

out like sound waves.
</details>

- 是的。
<details><summary>Original English</summary>
- Yeah.
</details>

- 所以我们把氦中的温度波称为第二声。
<details><summary>Original English</summary>
- So we call temperature waves

in helium second sound.
</details>

- 疯狂的是，这是一种全新的热传输模式，不同于宇宙中的任何其他事物——对吧？是的。当我听到这个时，我觉得“太疯狂了”。通常你总会想到传导、对流和辐射。而现在氦有了第四种。
<details><summary>Original English</summary>
- The crazy thing about it

is it's a completely new mode

of heat transport, unlike

anything else in the uni - right?

Yeah. When I heard that, I was like,

"That's crazy." So you

always think of conduction,

convection, and radiation.

And now helium gets a fourth.
</details>

- 这是第二声和热反流的结合，它非常高效，导热性大约是铜的一千倍，而铜是我们所知最好的热导体之一。这终于有助于解释你们一直看到的最后一件事，那就是为什么沸腾会突然停止？在2.17开尔文以上，氦的沸腾就像普通的液体一样。
<details><summary>Original English</summary>
- This is a combination of second sound

and thermal counterflow,

and it is effective,

around a thousand times

more conductive than copper,

which is one of the best

thermal conductors we know of.

It finally helps explain one

last thing you've been seeing

this whole time, that is why

does the boiling suddenly stop?

Well, above 2.17 Kelvin,

helium boils just like a normal liquid.
</details>

- 比方说，我有一桶水，我拿一根烧得通红的拨火棍把它插进去。气泡不会在桶里的任何地方形成。它们会围绕着那根拨火棍形成，因为你有这个高温区域，你在局部注入了足够的能量使水汽化，然后气泡就会在那里形成。做到这一点所需的能量就是汽化潜热。在水中，那大约是每克2200焦耳。在氦中，大约是每克23焦耳。所以如果你的氦处于液态，微小的热涨落就足以在局部汽化一小团区域，然后形成气泡。这就是为什么沸腾如此持续不断，因为微小的热涨落很容易就会形成气泡。
<details><summary>Original English</summary>
- Say, for example, I've

got a bucket of water

and I take a red hot

poker and I dump it in.

The bubbles aren't going to

form anywhere in the bucket.

They're going to form around that poker

because you've got this

high temperature region

where you've dumped in

enough energy locally

to vaporize the water

and then that's where the

bubbles are going to form.

The amount of energy it takes

to do this is the latent

heat of vaporization.

In water, that is about

2,200 joules per gram.

In helium, it's about 23 joules per gram.

So if you've got helium

in its liquid state,

a tiny thermal fluctuation is enough

to locally vaporize a small pocket,

which then forms a bubble.

And that's why boiling is so constant,

because tiny thermal

fluctuations will form

bubbles very, very easily.
</details>

- 但当你把氦冷却到2.17开尔文以下时，热反流占据了主导地位。它们传递热量如此高效，以至于整杯液体几乎立刻达到相同的温度。因此没有热点，也没有形成气泡的地方，沸腾突然停止了。这种沸腾的消失加上其无与伦比的热传递能力，也使超流氦成为在一或两开尔文下的理想冷却剂，这也是欧洲核子研究中心（CERN）使用大约70万升超流氦来冷却大型强子对撞机（LHC）的9000个超导磁体的原因。
<details><summary>Original English</summary>
- But as you cool helium

down below 2.17 kelvin,

thermal counterflows take over.

They transfer heat so effectively

that the entire liquid almost immediately

reaches the same temperature.

So there are no hotspots

and no places for bubbles to form,

the boiling suddenly stops.

This lack of boiling paired

with its unparalleled heat

transfer also makes superfluid

helium the ideal coolant

at one or two kelvin,

and that's why CERN uses

around 700,000 liters of it

to cool the LHC's 9,000

superconducting magnets.
</details>

### 量子涨落与零点能

- 不过克里斯，仍然有一件事让我困惑，那就是，你知道，如果你拿任何物质不断降温，它总会冻结。但氦从来不会，然而它确实液化了，这正是让人头疼的地方。因为既然它液化了，就意味着原子之间存在某种吸引力。所以你会预料，你知道，我可以一直降温降温再降温，直到最终动能变得任意小，而且它必须——就像吸引能量必须大得多，所以它必须形成固体。
<details><summary>Original English</summary>
- There is still one thing

that bothers me though, Chris,

which is that, you know,

if you take any substance

and you keep cooling it

down, it always freezes.

But helium never does, yet

it does liquefy, which

is the annoying part.

So because it liquefies, it means

that there is some

attraction between the atoms.

And so you'd expect, you know,

I can just keep cooling

it down more and more

and more until eventually

the kinetic energy becomes

arbitrarily small

and it must, like the attractive

energy must be much larger

and so it must form a solid.
</details>

- 是的。所以这就是你所预期的那种直觉图景。嗯，你无法用直觉的方式来回答这个问题。你必须引入量子力学。
<details><summary>Original English</summary>
- Yes. So this is the kind of

intuitive picture that you would expect.

Well, you can't answer

that in an intuitive way.

You have to bring in quantum mechanics.
</details>

- 因为根据量子力学，你越精确地知道一个粒子的位置，你对其动量的了解就越少，反之亦然。这就是所谓的海森堡不确定性原理，在数学上它告诉你，位置不确定度Δx乘以动量不确定度Δp大于或等于约化普朗克常数除以二（h-bar / 2）。为简单起见，我们就说它大约在h-bar左右。
<details><summary>Original English</summary>
- Because according to quantum mechanics,

the more precisely you

know a particle's position,

the less you know about its

momentum and vice versa.

This is known as Heisenberg's

uncertainty principle,

and mathematically it tells you

that the uncertainty in

position delta x times the

uncertainty in momentum

delta p is greater than

or equal to h-bar over two.

For simplicity, let's just

say it's around h-bar.
</details>

- 假设我在液体中有一个原子，它有一定自由度。它可以四处移动，但你知道，它与所有邻近的原子非常紧密地挤在一起。假设它占据了一定半径为r的球形体积。那么，我们可以说那个r就是它位置的不确定度。所以如果动量的不确定度看起来就像h-bar——普朗克常数除以R。
<details><summary>Original English</summary>
- Let's say I've got an atom in a liquid

and it has some freedom.

It can move around,

but you know, it's very closely packs in

with all of its neighboring atoms.

Let's say that it occupies

some spherical volume

with a radius r.

Well, we can say that that r

is The uncertainty in its position.

So if the uncertainty in the

momentum is going to look like

h-bar, planks constant, over R.
</details>

- 但如果它在动量上有不确定性，就意味着它必须在那个球体内部晃动。
<details><summary>Original English</summary>
- But if it's got an

uncertainty in momentum,

it means it must be jiggling

around inside that sphere.
</details>

- 我们知道如果它在晃动，我们可以说它具有能量。那么，我们知道它的动量是多少。它是普朗克常数除以、除以R。那么我们如何得到能量呢？很简单。我们说它是动量的平方除以两倍的质量。现在，氦是如此轻的原子，那个质量项非常小。这意味着由于它受到限制，它所拥有的能量非常非常大。这就是我们所说的零点能。这是它无法摆脱的能量。它与热能无关。并不是因为液体中存在温度。事实上，当你处于液态时，那个零点能占了流体总能量的98%以上。
<details><summary>Original English</summary>
- We know if it's jiggling,

we can say it's got an energy.

Well, we know what it's momentum is.

It's planks constant over, over R.

So how do we get the

energy? Well, it's easy.

We say it's the momentum

squared over twice the mass.

Now, helium being such a light atom,

that mass turn is very small.

So that means that the energy that it has,

because it's confined,

is very, very large.

Now, this is what we call

the zero point energy.

This is the energy it cannot get rid of.

It's nothing to do with thermal energy.

It's not because there's a

temperature in the liquid.

In fact, when you're in the liquid state,

that zero point energy

accounts for more than 98%

of the total energy in the fluid.
</details>

- 等等，什么？
<details><summary>Original English</summary>
- Wait, what?
</details>

- 它是、它是巨大的。
<details><summary>Original English</summary>
- It is, it is enormous.
</details>

- 太疯狂了。我对此一无所知。
<details><summary>Original English</summary>
- That is crazy. I had no clue.
</details>

- 这个零点能太大了，原子永远无法固定在原位。所以仅通过冷却，氦永远不会冻结。
<details><summary>Original English</summary>
- This zero point energy is

too large for the atoms ever

to lock down in place.

So helium never freezes

just by cooling it down.
</details>

- 所以当你考虑这种状态阶梯时，这种玻色-爱因斯坦凝聚（BEC）图景，比如，你知道，所有东西在宏观上都占据着这个最底层的状态，我们以为我们、直觉是把它想象成阶梯，每个梯级都间隔得很漂亮、很均匀。但从这种零点能的角度去思考它的方式是，第一个梯级距离地面有10层楼高。然后热态堆叠在它的上面。
<details><summary>Original English</summary>
- So when you're thinking of

this kind of ladder of states,

this kind of BEC picture, like, you know,

everything's macroscopically

occupying this bottom state,

we think we, the, the

intuition is to think of it

as like ladder where each rung

is nice and evenly spaced.

But the way to think of it in terms

of this zero point energy is that

that first rung is 10

stories off the floor.

And then the thermal states

stack up on top of that.
</details>

- 噢，太形象了。
<details><summary>Original English</summary>
- Oh, that's so good.
</details>

### 科学范式与被忽视的线索

- 但是有一种方法可以冻结氦，这是由昂内斯的继任者发现的。那就是通过将氦冷却到大约1开尔文，并将压力增加到25个大气压。如果这样做，氦终于冻结了。至于昂内斯，他于1926年去世，享年72岁。他制备超流氦已经有18年了，一直看着它，看到一个接一个的线索，但他从未意识到自己整个时间都在凝视着什么。现在，你看到这里可能会认为昂内斯错过了它、没能将这些碎片拼凑起来有点愚蠢或无知，但我认为并非如此。相反，我认为这揭示了人类的一个基本特征。我认为这表明很多人认为眼见为实。而我认为很多时候你必须先相信它，才能看见它。这让我深思库恩的《科学革命的结构》，因为该书很大程度上聚焦于，你知道，你有现存的科学，你有现存的范式，你有这些事物应该遵循的现有公式。而数据点偏离曲线，有多少次仅仅被当成是某种误差、某人搞砸了、冷凝、发生了什么事情？人们很容易把那些事情排除掉。所以我非常理解，而且我不会想：“噢，他们怎么会错过呢？”我倒觉得：“不，这其实就是我们运作的方式。”特别是，我不知道科学家是否应该更具观察力一点，或者更持怀疑态度一点，但与此同时，你面对的是世界上如此多的混乱，以至于你有时确实只会看到，“是的，是的，那符合那个。是的，那符合数据。”而他们有点忽略了那些不符合的事物，因为你在寻找某种特定的东西。我不知道。
<details><summary>Original English</summary>
- But there is one way in which you

can freeze helium, which was

discovered by Onnes's successor.

That is by cooling helium

down to about one Kelvin

and by increasing the

pressure to 25 atmospheres.

If you do that, helium finally freezes.

As for Onnes, he died in

1926 at the age of 72.

He had been making super

fluid helium for 18 years,

looking at it, seeing hint after hint,

and yet he never realized

what he'd been staring at the entire time.

Now, you might look at this

and think HOnnes was a little

stupid or ignorant to miss it

and to not put the pieces together,

but I don't think that's the case.

Instead, I think it reveals a fundamental

feature of being human.

I think it goes to show a lot

of people think you got

to see it to believe it.

And I think often you have to

believe it in order to see it.

It makes me think a lot

about Kuhns, the structure

of scientific revolutions,

because it focuses a lot

on, you know, you have the

existing science, you

have the existing paradigms,

you have the existing formulas

that these things are supposed to follow.

And how often would the

data point going off the

line just be some error,

someone messed up, condensation,

something happening?

It's easy to write those things off.

So I have a lot of sympathy

and I don't think, "Oh, how

could they miss it?" I kind

of think like, "No, that's actually

how we operate." Especially, I

don't know if scientists are supposed

to be a little bit more observant

or a little bit more skeptical,

but at the same time, you're up against

so much chaos in the

world that you do kind

of sometimes just see,

"Yeah, yeah, that fits that.

Yeah, that fits the data."

And they sort of ignore things

that don't fit because you're looking

for something. I don't know.
</details>

- 是的。但我认为可能特别是如果你是一名科学家，往往正是这些意想不到的事情最终能带来最大的突破，因为正是这些东西证伪了你对现实的看法。
<details><summary>Original English</summary>
- Yeah. But I think probably

especially if you are a

scientist, it's these unexpected things

that can end up having

the biggest breakthrough

because those are the

things that disconfirm

your view of reality.
</details>

- 而问题在于，往往所有的迹象
<details><summary>Original English</summary>
- And the thing is, often all the signs
</details>

<!-- chunk 6/6 -->

### 突破背后的启示

取得突破的线索其实就在那里。只是我们还没有准备好看见它们。

<details><summary>Original English</summary>
for the breakthrough are there.

It's just that we're

not ready to see them.
</details>

所以这会让你不禁思考，我们现在正在错过哪些迹象？

<details><summary>Original English</summary>
So it makes you wonder what

signs are we missing right now?
</details>

我以前总认为，某人没能取得突破的原因，可能是他们不够聪明，或者工作不够努力，抑或是不够幸运。

<details><summary>Original English</summary>
I used to think that the

reason someone didn't make the

breakthrough was because maybe

they weren't smart enough

or they didn't work hard enough

or didn't get lucky enough.
</details>

但现在我觉得，我一直以来可能都遗漏了某些东西。看看昂内斯就知道了。这些特质他全都具备。他是一位实验天才，拥有巨大的工作热情与敬业精神，甚至还发现了超导电性（super connectivity）——这是20世纪最重大的突破之一。三项条件他占全了。

<details><summary>Original English</summary>
But now I feel like I've

always missed something.

Just look at Onnes. He

had all of those things.

He was an experimental genius,

had an immense work ethic

and even discovered

super connectivity, one

of the biggest breakthroughs

of the 20th century.

He got three out of three.
</details>

所以也许有时要实现突破，并不需要任何额外的智力、努力甚至运气。也许所需要的，仅仅是让我们放下自以为这世界该有的模样，转而在哪怕片刻之间，尝试去看清它原本真实的面貌。如果只要这样就足够了呢？

<details><summary>Original English</summary>
So perhaps sometimes making the

breakthrough doesn't require

any extra intelligence,

hard work or even luck.

Maybe all it takes is for us to let go

of the way we believe the world to be

and instead, just for a moment, try

to see it as it really is.

What if that is all it takes?
</details>

至于昂内斯，好吧，他可能错过了超流动性，但他永远改变了低温物理学。在1913年，他因发现不断降温时究竟会发生什么这一成就，荣获了诺贝尔物理学奖。

<details><summary>Original English</summary>
And Onnes, well, he may

have missed superfluidity,

but he changed cold

temperature physics forever.

And in 1913, he received

the Nobel Prize in physics

for his achievements at finding out

what happens when you

just keep cooling down.
</details>

### 致谢与后续预告

嘿，最后简短提两件事。首先，如果没有诺丁汉大学魏因富特纳（Weinfurtner）教授重力实验室的帮助，以及向他们提供的开展超流体实验的资金支持，这个视频是不可能做出来的。因此我要向他们全员表达诚挚的感谢，感谢他们帮助我们重新再现了这些实验。

<details><summary>Original English</summary>
Hey, two quick final things.

First, this video would not

have been possible without the

help of Professor Weinfurtner's

Gravity Laboratory at

Nottingham University and the funding

provided to them to run their

superfluid experiments.

So I want to give a big

thank you to all of them

for helping us recreate these experiments.
</details>

第二件事是，我们甚至还没能向你们展示他们的研究成果，因为尽管看起来我们似乎已经解开了超流体的全部谜团，但事实证明我们才刚刚开始——因为当你开始旋转它们时，极其诡异的现象就会发生。

<details><summary>Original English</summary>
The second thing is

that we didn't even get

to show you their research

because while it might seem

like we've solved all the

mysteries of superfluids,

it turns out we're just getting started

because really weird things happen when

you start rotating them.
</details>

这种旋转，或者说它的物理机制，可以在从中子星、模拟旋转黑洞，到黑洞炸弹的万事万物中发挥作用。而且因为只要你观察得足够仔细，就仿佛能在一滴超流体中看到整个宇宙。所以如果你们希望我们制作关于那部分的第二期，请告诉我们。

<details><summary>Original English</summary>
And this rotation

or the physics of it can play

a role in everything from

neutron stars to simulating

rotating black holes

to a black hole bomb.

And because if you look

closely enough, you can kind

of see the entire universe

in a drop of superfluid.

So let us know if you want us

to make a part two on that.
</details>