论文标题
绝热渐近学中的Fokker-Planck多物种方程
Fokker-planck Multi-species Equations In The Adiabatic Asymptotics
论文作者
论文摘要
本文的主要关注点是通过多物种fokker-Planck动力学模型研究热核融合等离子体的多尺度动力学。目标之一是将标准的fokker-Planck碰撞操作员概括为多种产品，保存质量，总动量和能量，以及满足Boltzmann的H Theorem。其次，本文在更多细节中研究了当前模拟中用于电子描述的简化模型，并考虑了热力学平衡中的电子（绝热状态），而离子保持动力学。一方面，我们执行一些数学渐近极限，以在电子/离子低质量比中获得上述电子绝热状态。另一方面，我们基于HERMITE光谱方法开发了一种数值方案，并开发了多个数值模拟，以详细说明和调查此渐近学。
The main concern of the present paper is the study of the multi-scale dynamics of thermonuclear fusion plasmas via a multi-species Fokker-Planck kinetic model. One of the goals is the generalization of the standard Fokker-Planck collision operator to a multispecies one, conserving mass, total momentum and energy, as well as satisfying Boltzmann's H-theorem. Secondly, the paper investigates in more details the reduced model used for the electron description in present simulations, and which considers the electrons in a thermodynamic equilibrium (adiabatic regime), whereas the ions are kept kinetic. On the one hand, we perform some mathematical asymptotic limits to obtain in the electron/ion low mass ratio limit the above-mentioned electron adiabatic regime. On the other hand, we develop a numerical scheme , based on a Hermite spectral method, and perfom numerical simulations to illustrate and investigate in more details this asymptotics.
