TITLE

Uniqueness of the equilibrium of an electron plasma on magnetic surfaces

AUTHOR(S)
Durand de Gevigney, Benoit
PUB. DATE
January 2011
SOURCE
Physics of Plasmas;Jan2011, Vol. 18 Issue 1, p014503
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The equilibrium of an electron plasma on magnetic surfaces is governed by a Poisson-Boltzmann equation. The electrons follow a Boltzmann distribution on each surface and the charge density depends exponentially on the electric potential. It is a well-known property that the classical Poisson's equation, for which the charge density is an independent parameter, possesses a unique solution provided suitable boundary conditions are given. Here we show that the Poisson-Boltzmann equation describing electron plasmas on magnetic surfaces also has a unique solution.
ACCESSION #
57679420

 

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