2003•Physica ScriptaOpen access

Exact Analytical Solutions of the Nonlinear Three-dimensional Debye Screening in Plasmas

Chang Li, Xiulian Zhang

Abstract

The nonlinear three-dimensional Debye screening in plasmas is investigated. New exact analytical solutions for the three-dimensional Poisson equation have been obtained for the nonlinear Debye potential for the first time. We derive exact analytical expressions for the general case of nonlinear three-dimensional Debye screening in plasmas.

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Key concepts: Debye, Debye length, Debye function, Plasma, Nonlinear system, Physics, Poisson's equation, Poisson distribution