Langevin representation of Coulomb collisions for bi-Maxwellian plasmas

Journal Article · Tue Jul 20 00:00:00 EDT 2010 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2010.04.009· OSTI ID:21417231

Hellinger, Petr ^[1]; Travnicek, Pavel M ^[1]

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1. Astronomical Institute, AS CR, Bocni II/1401, 14131 Prague 4 (Czech Republic)

Langevin model corresponding to the Fokker-Planck equation for bi-Maxwellian particle distribution functions is developed. Rosenbluth potentials and their derivatives are derived in the form of triple hypergeometric functions. The Langevin model is tested in the case of relaxation of the proton temperature anisotropy and implemented into the hybrid expanding box model. First results of this code are presented and discussed.

• OSTI ID: 21417231
• Journal Information: Journal of Computational Physics, Vol. 229, Issue 14; Other Information: DOI: 10.1016/j.jcp.2010.04.009; PII: S0021-9991(10)00185-3; Copyright (c) 2010 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ANISOTROPY
BOLTZMANN STATISTICS
BOX MODELS
DISTRIBUTION FUNCTIONS
FOKKER-PLANCK EQUATION
HYPERGEOMETRIC FUNCTIONS
LANGEVIN EQUATION
PROTON TEMPERATURE
STOCHASTIC PROCESSES
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS