论文标题
改进的方法来推导多趋于等离子体中的kappa分布
An improved method to derive the kappa distribution in polytropic plasmas
论文作者
论文摘要
本文研究了足够的条件,可以通过改进的方法与先前的工作相比,通过改进的方法得出了Kappa分布[R.郭,物理。等离子体\ textbf {27},122104(2020)]。我们发现,状态的多趋势方程可以导致KAPPA分布,而无需在一个维度上任何其他假设。在较高的维度中,一个额外的假设,即全球分布必须仅取决于能量。此外,在这种等离子体中研究了静电电位的自持矛盾性。该研究表明,在单组分等离子体中,电势受车道填充方程的约束。但是,在两个组分的等离子体中,任何任意电位都可以具有合适的背景离子密度。最后,我们讨论了Kappa分布与多质toperpope之间的连接。
This paper studies sufficient conditions for deriving the kappa distribution in polytropic plasmas by an improved method compared with the previous work [R. Guo, Phys. Plasmas \textbf{27}, 122104 (2020)]. We find that the polytropic equation of state can lead to the kappa distribution without any other assumptions in one dimension. In higher dimensions, an extra assumption that the global distribution must only depend on the energy is still needed. In addition, the self-consistence of the electrostatic potential is investigated in such plasmas. The study implies that in single-component plasmas, the potential is constrained by the Lane-Emden equation. However, in two-component plasmas, any arbitrary potential could exist with a suitable background ion density. Finally, we discuss the connections between the kappa distribution and the polytrope.