Paper Info
Title
A Boltzmann Model for Trapped Particles in a Surface Potential
Abstract
In this article, we propose a model describing the transport of trapped particles in a surface potential. The potential confines particles close to the surface, increasing the number of surface collisions. First, we consider the case of noncharged particles. From a kinetic description, we rigorously derive a two dimensional Boltzmann equation. In the case of charged particles we introduce the coupling with the Poisson equation. We perform a formal asymptotic analysis which leads to a two dimensional Boltzmann equation coupled with a three dimensional Poisson equation. We illustrate the charged particle model with some numerical simulations of a gas discharge on a satellite solar array. We use a particle in cell ( P. I. C.) scheme that is a particle discretization for the Boltzmann equation and a Fourier approximation for the Poisson equation.
Year
DOI
Venue
2006
10.1137/050642897
MULTISCALE MODELING & SIMULATION
Keywords
Field
DocType
Boltzmann equation,Poisson equation,surface collisions,asymptotic model,simulation of gas discharge,particle in cell scheme,particle method
Statistical physics,Poisson–Boltzmann equation,Boltzmann equation,Plasma modeling,Screened Poisson equation,Poisson's equation,Uniqueness theorem for Poisson's equation,Lattice Boltzmann methods,Boltzmann relation,Classical mechanics,Physics
Journal
Volume
Issue
ISSN
5
2
1540-3459
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Pierre Degond125143.75
C. Parzani272.26
Marie-Hélène Vignal36811.75