Document Type

Article

Publication Date

1-1-2003

Publication Title

Physical Review

Volume

68

First Page

056703-1

Last Page

056703-11

DOI

10.1103/PhysRevE.68.056703

Keywords

monte carlo, boltzmann equation

Disciplines

Other Astrophysics and Astronomy | Other Physics

Abstract

In this paper we describe a direct simulation Monte Carlo algorithm for the Uehling-Uhlenbeck-Boltzmann equation in terms of Markov processes. This provides a unifying framework for both the classical Boltzmann case as well as the Fermi-Dirac and Bose-Einstein cases. We establish the foundation of the algorithm by demonstrating its link to the kinetic equation. By numerical experiments we study its sensitivity to the number of simulation particles and to the discretization of the velocity space, when approximating the steady-state distribution.

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