广义Landau阻尼理论
Generalized Theory of Landau Damping
摘要：
在经典的等离子体中电波的无碰撞阻尼问题框架下，研究了等离子体中电波的无碰撞阻尼。利用了奇异积分的正则化新原理。得到了相应色散方程的精确解。计算结果表明，存在频率的离散谱和色散曲线的离散谱。分析结果与直接的数学实验结果符合得很好。关键词：输运过程和统计物理理论的基础;玻尔兹曼物理动力学;等离子体波的阻尼，波传播的线性理论PACS：67.55.Fa，67.55.Hc
英文摘要：
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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