Stationary states of polytropic plasmas

R. Guo
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引用次数: 3

Abstract

In this paper, we prove that the kappa distribution is the stationary solution of the Vlasov-Poisson system in an inhomogeneous plasma under the polytropic equation of state and an assumption restricting the local velocity distribution to a specific mathematical form. The profiles of density, temperature, and electric potential are obtained theoretically. The kappa index can be determined if the initial state is known. In order to verify the theory, particle-in-cell simulations are made and the results show excellent agreement with the theoretical predictions for density, temperature, and velocity distributions of electrons. It is shown that the electron velocity distribution of spatially inhomogeneous plasma evolves from an initial Maxwellian to the final kappa distribution. It is also found that the value of kappa index in the final stationary state depends on the initial state of plasma.
多向等离子体的稳态
本文证明了在多元状态方程下,kappa分布是非均匀等离子体中Vlasov-Poisson系统的平稳解,并证明了将局部速度分布限定为特定数学形式的假设。从理论上得到了密度、温度和电势的分布。如果初始状态已知,则可以确定kappa指数。为了验证这一理论,进行了粒子在电池中的模拟,结果与理论预测的密度、温度和电子速度分布非常吻合。结果表明,空间非均匀等离子体的电子速度分布由初始的麦克斯韦分布演变为最终的卡帕分布。研究还发现,最终稳定状态下的kappa指数取决于等离子体的初始状态。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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