A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions
Abstract
A multi-species Fokker-Planck model for simulating particle collisions in a plasma is presented. The model includes various parameters that must be tuned. Under reasonable assumptions on these parameters, the model satisfies appropriate conservation laws, dissipates an entropy, and satisfies an -Theorem. In addition, the model parameters provide the additional flexibility that is used to match simultaneously momentum and temperature relaxation formulas derived from the Boltzmann collision operator for a binary mixture with Coulomb potentials. A numerical method for solving the resulting space-homogeneous kinetic equation is presented and two examples are provided to demonstrate the relaxation of species bulk velocities and temperatures to their equilibrium values.
Keywords
Cite
@article{arxiv.2404.11775,
title = {A Nonlinear, Conservative, Entropic Fokker-Planck Model for Multi-Species Collisions},
author = {Evan Habbershaw and Cory D. Hauck and Jingwei Hu and Jeffrey R. Haack},
journal= {arXiv preprint arXiv:2404.11775},
year = {2024}
}