发表机构
LIRA, Observatoire de Paris, Université PSL, Sorbonne Université, Université Paris Cité, CY Cergy Paris Université, CNRS; Mullard Space Science Laboratory, University College London（巴黎天文台，巴黎文理研究大学，索邦大学，巴黎西岱大学，塞吉-蓬图瓦兹大学，法国国家科学研究中心; 穆拉德空间科学实验室，伦敦大学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究扩展Pannekoek-Rosseland理论至多组分多温度等离子体，推导出自洽双极电场，明确其引力与热电贡献，为研究天体等离子体的组分与随机加热联合效应提供框架。
AI 中文摘要
我们通过将Pannekoek-Rosseland理论扩展至多组分和多温度等离子体，研究由电子、质子和α粒子组成的无碰撞、引力分层等离子体大气的定态。从刘维尔定理出发，我们从动力学平衡和电荷中性推导出自洽的双极电场。对于单温度大气，我们得到双极场的解析表达式，展示其对α粒子丰度的依赖关系，并确定三种组分的相对分层。静电势的一阶解析近似可准确再现数值解。随后，我们将该形式主义推广至由随机边界加热产生的多温度等离子体，将定态分布表示为麦克斯韦种群的叠加。引力过滤产生非指数密度轮廓，且温度随高度升高而增加，同时保持组分的相对分层，其中α粒子分层最显著，质子最不显著。双极电场包含主导的引力贡献（对应广义Pannekoek-Rosseland场）和源于组分依赖温度梯度的热电贡献，后者解释了其非单调结构。这些结果为研究引力分层天体等离子体中等离子体组分与随机加热的联合效应提供了框架。
英文摘要
We investigate stationary states of a collisionless, gravitationally stratified plasma atmosphere composed of electrons, protons, and alpha particles by extending Pannekoek--Rosseland theory to multispecies and multi-temperature plasmas. Starting from Liouville's theorem, we derive the self-consistent ambipolar electric field from kinetic equilibrium and charge neutrality. For a single-temperature atmosphere, we obtain analytical expressions for the ambipolar field, show its dependence on alpha-particle abundance, and determine the relative stratification of the three species. A first-order analytical approximation to the electrostatic potential accurately reproduces the numerical solution. We then generalize the formalism to multi-temperature plasmas generated by stochastic boundary heating, representing the stationary distribution as a superposition of Maxwellian populations. Gravitational filtering produces non-exponential density profiles and increasing temperatures with altitude, while preserving the relative species stratification, with alpha particles most strongly stratified and protons least. The ambipolar electric field contains a dominant gravitational contribution, corresponding to the generalized Pannekoek--Rosseland field, and a thermoelectric contribution arising from species-dependent temperature gradients, which accounts for its non-monotonic structure. These results provide a framework for studying the combined effects of plasma composition and stochastic heating in gravitationally stratified astrophysical plasmas.
Comments20 pages, 6 figures. Accepted for publication in The Astrophysical Journal
