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- W2014589372 abstract "This paper deals with a solution of the equations of Vlasov and Poisson describing one-dimensional plasma motion. The self-consistent potential assumed consists of a broad spectrum of travelling waves. The solution to be derived first involves expansions in the spectral amplitude. At first order the linear dispersion relation, including spatial Landau damping, is recovered. The second order, which shows no secularity, yields coefficients of the series for the potential. They are expressed in terms of the distribution function, whicc is assumed as a function of one constant of motion only, obtained by integrating once the equation of motion. The solution holds valid for a half-space. Combining two of the above solutions the velocity of a particle through the entire space is derived when it passes through a local disturbance described by a broad spectrum of undamped travelling waves. The mean velocity here changes slightly by resonant interaction, which provides a mechanism for the above-mentioned Landau damping." @default.
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- W2014589372 title "On the motion of charged particles in a self-consistent continuous spectrum of waves" @default.
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- W2014589372 doi "https://doi.org/10.1016/0031-8914(70)90185-0" @default.
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