Nonlinear Langevin Equation for a System of Coulomb Particles


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Abstract

The nonlinear Langevin equation for a system of Coulomb particles with random processes, which are functionals of the velocity distribution function of such particles, has been derived and analyzed. It is shown by direct numerical solutions that this equation correctly describes the collisional relaxation of such a system even in the case of anomalous deviation of the initial velocity distribution of particles from the equilibrium distribution. The equation can be conveniently used in the Monte Carlo methods and in “particle-in-cell” methods.

About the authors

D. A. Zhidkov

State Scientific Center of the Russian Federation Institute for Theoretical and Experimental Physics

Author for correspondence.
Email: dmtr7114@mail.ru
Russian Federation, Moscow, 117218

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