Fokker-planck Multi-species Equations In The Adiabatic Asymptotics
Abstract
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.
Keywords
Cite
@article{arxiv.2202.08541,
title = {Fokker-planck Multi-species Equations In The Adiabatic Asymptotics},
author = {Francis Filbet and Claudia Negulescu},
journal= {arXiv preprint arXiv:2202.08541},
year = {2022}
}