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cover of episode New ‘Superdiffusion’ Proof Probes the Mysterious Math of Turbulence

New ‘Superdiffusion’ Proof Probes the Mysterious Math of Turbulence

2025/6/24
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Quanta Science Podcast
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Samir Patel: 湍流是一种复杂的流体现象，理解它在数学上极具挑战性，但最近在湍流数学方面取得了重大进展。湍流是流体通过复杂环境时产生的混乱现象，例如风吹过山脉或水流过障碍物。解决湍流问题具有很高的价值。 Joe Howlett: 湍流是指流体分子可以自由移动的非固态物质的流动，当流体运动速度足够快时，就会出现湍流。湍流的特点是不可预测性和复杂性，例如飞机在飞行中遇到的颠簸就是由于大气湍流冲击机翼造成的。纳维-斯托克斯方程可以描述流体的运动，但由于我们无法完全了解湍流的每一个细节，因此无法准确预测未来。数学家们正在努力寻找一种严格的方法来研究湍流，并解释超扩散现象，即湍流中粒子扩散的速度比预期更快。我解释了数学家如何使用均匀化方法，结合重整化技术，严格地证明了超扩散现象，并解释了为什么气球在1906年贝内特杯比赛中比预期更快地散布开来。

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Turbulence is a notoriously difficult phenomenon to study. Mathematicians are now starting to untangle it at its smallest scales.

This is the sixth episode of The Quanta Podcast. In each episode, Quanta Magazine editor in chief Samir Patel speaks with the minds behind the award-winning publication to navigate through some of the most important and mind-expanding questions in science and math.

Audio coda provided by Mount Washington Observatory