2008/07/31 by Boris V. Alexeev, Alexeev, Boris V.
Engineering · Physics and Astronomy · #Dynamics and Control of Mechanical Systems #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0807.5007
25 pages, 33 figures
arxiv created 2008/07/31 · openalex publication_date 2008/07/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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