Plasma Electromagnetic Fluctuations as an Initial Value Problem

Details Plasma Electromagnetic Fluctuations as an Initial Value Problem Plasma Electromagnetic Fluctuations as an Initial Value Problem

2007-11-13

arxiv.org/abs/0711.2003v2

Physics

Plasma Physics

14 pages, minor changes, to appear in Acta Phys. Pol. B

Scientific paper

Fluctuations of electric and magnetic fields in the collisionless plasma are found as a solution of the initial value linearized problem. The plasma initial state is on average stationary and homogeneous. When the state is stable, the initial fluctuations decay exponentially and in the long time limit a stationary spectrum of fluctuations is established. For the equilibrium plasma it reproduces the spectrum obtained from the fluctuation-dissipation relation. Fluctuations in the unstable two-stream system are also discussed.

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