Landau damping
The Landau damping is the damping of longitudinal pressure waves in plasmas . It was discovered by Lev Landau , a Russian physicist and Nobel Prize winner .
In a plasma there are fast and slow charged particles. Under certain conditions there are more slow particles than fast particles. The excess of slow particles means that they absorb more energy from the wave than the fast particles give off to the wave. This dampens the wave. What is remarkable about the damping described by Landau is that it is not associated with an increase in entropy . Its derivation was based on a linear approximation of the Vlasov equation (after Anatoli Alexandrowitsch Vlasow ). It was not until 2010 that Clément Mouhot and Cédric Villani showed the mathematical validity of this description in non-linear treatment, even for long periods .
literature
- Francis F. Chen: Introduction to Plasma Physics and Controlled Fusion: Plasma physics . Springer, 1984, ISBN 0-306-41332-9 , pp. 246-247 .
- Lew Landau: On the vibration of the electronic plasma . In: JETP . tape 16 , 1946, pp. 574 (Russian, uiowa.edu [PDF; accessed January 24, 2018] English in: J. Phys. (USSR) 10 (1), 25 (1946)).
- C. Mouhot, C. Villani: Landau damping . In: J. Math. Phys. tape 51 , 2010, p. 015204 , doi : 10.1063 / 1.3285283 (English).
- C. Mouhot, C. Villani: On Landau damping , Acta Mathematica, Volume 207, 2011, pp. 29-201, Arxiv
Web link
- Prof. Dr. U. Motschmann: Plasma Physics. Script for the lecture. In: TU Braunschweig. 2015 .
- Landau damping . In: Lexicon of Physics . Spectrum Academic Publishing House, 1998 ( Spektrum.de ).