Calculating a Perturbation of a Plasma Layer by an Electric Field

Pub Date : 2024-04-22 DOI:10.1134/s0965542524030187
N. M. Gordeeva
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Abstract

The paper presents the results of solving a boundary value problem for a system of two integro-differential equations that simulate the action of an external electric field on a plasma layer. This system is an implication of the Boltzmann–Maxwell equations, and the physical meaning of the sought functions is the strength of a self-consistent electric field and perturbation of the electron distribution density. The solution of the problem is constructed using the theories of Fourier transform of generalized functions and singular integral equations with the Cauchy kernel. The dependence of the solution on the frequency of the external field is studied.

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计算电场对等离子体层的扰动
摘要 本文介绍了模拟外电场作用于等离子体层的两个积分微分方程系统的边界值问题的求解结果。该系统是玻尔兹曼-麦克斯韦方程的一个隐含方程,所求函数的物理意义是自洽电场强度和电子分布密度的扰动。利用广义函数的傅立叶变换和具有考奇核的奇异积分方程理论构建了问题的解。研究了解对外部电场频率的依赖性。
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