Uniqueness of the equilibrium of an electron plasma on magnetic surfaces

Durand de Gevigney, Benoit
January 2011
Physics of Plasmas;Jan2011, Vol. 18 Issue 1, p014503
Academic Journal
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.


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