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Lev Landau predicted a strange way plasma waves fade

In 1946 Lev Landau predicted that waves in a plasma can lose energy without any collisions, an effect confirmed experimentally in 1964 and now called Landau damping.

Lev Landau
Lev Landau · 1908–1968
Person
Lev Landau
Lived
1908–1968
Field
Theoretical Physics
From
Soviet

The story

A plasma is a hot gas of electrically charged particles, the state of matter found in the Sun, in lightning and inside fusion reactors. Waves of electric charge can travel through a plasma much as sound travels through air. In 1946 Lev Landau, then head of the theoretical division at the Institute for Physical Problems in Moscow and already one of the most versatile physicists in the world, analysed how such waves behave and found a surprising result.

Normally a wave dies away because the particles it passes through collide and turn its energy into heat. Landau showed that in a plasma, waves can lose energy and fade even when the particles almost never collide. The key lies in the particles moving at nearly the same speed as the wave. The wave speeds up particles travelling slightly slower than itself and slows down those travelling slightly faster. In a typical plasma the slower particles outnumber the faster ones, so on balance the particles absorb energy from the wave and it is damped.

The result was a striking piece of theory, worked out from the equations governing a collisionless plasma. Later the Dutch physicist Nico van Kampen showed that the same result could be obtained by a different mathematical route, and in 1964 the physicists John Malmberg and Charles Wharton demonstrated Landau damping experimentally, almost two decades after Landau's prediction.

Landau damping is now a fundamental concept of plasma physics. Because it removes energy from waves, it can stop instabilities from growing and keep a plasma stable. The astrophysicist Donald Lynden-Bell later argued that a similar process operates in galaxies, where a 'gas' of stars interacting through gravity takes the place of charged particles. The effect is reproduced in computer simulations used to model plasmas.

Landau's name is honoured in the field today: the American Physical Society's Landau-Spitzer Award, which recognises outstanding contributions to plasma physics and collaboration between Europe and the United States, is named in part after him.

Why it matters

Landau damping is essential to understanding fusion plasmas, space weather, particle accelerators and even the dynamics of galaxies.

About Lev Landau

Baku-born prodigy who founded the great Soviet school of theoretical physics, survived Stalin’s prison, explained superfluid helium and won the 1962 Nobel Prize.

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Lev Landau
1908–1968 · Theoretical Physics
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