Generalized Theory of Landau Damping

Details Generalized Theory of Landau Damping Generalized Theory of Landau Damping

2008-07-31

arxiv.org/abs/0807.5007v1

Physics

Condensed Matter

Statistical Mechanics

25 pages, 33 figures

Scientific paper

Collisionless damping of electrical waves in plasma is investigated in the frame of the classical formulation of the problem. The new principle of regularization of the singular integral is used. The exact solution of the corresponding dispersion equation is obtained. The results of calculations lead to existence of discrete spectrum of frequencies and discrete spectrum of dispersion curves. Analytical results are in good coincidence with results of direct mathematical experiments. Key words: Foundations of the theory of transport processes and statistical physics; Boltzmann physical kinetics; damping of plasma waves, linear theory of wave`s propagation PACS: 67.55.Fa, 67.55.Hc

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