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Compact Collision Kernels for Hard Sphere and Coulomb Cross Sections; Fokker-Planck Coefficients

TitleCompact Collision Kernels for Hard Sphere and Coulomb Cross Sections; Fokker-Planck Coefficients
Publication TypeBook Chapter
Year of Publication2009
AuthorsChang, YB, Shizgal, BD
EditorAbe, T
Book TitleRarefied Gas Dynamics
Series TitleAip Conference Proceedings
Volume1084
Pagination140-145
PublisherAmer Inst Physics
CityMelville
ISBN Number0094-243X978-0-7354-0615-5
KeywordsBoltzmann collision term, collision frequency, cross, cut-off, EIGENVALUES, Fokker-Planck coefficients, GAS, Kernel, relaxation, SCATTERING, section, temperature relaxation
Abstract

A compact collision kernel is derived for both hard sphere and Coulomb cross sections. The difference between hard sphere interaction and Coulomb interaction is characterized by a parameter eta. With this compact collision kernel, the calculation of Fokker-Planck coefficients can be done for both the Coulomb and hard sphere interactions. The results for arbitrary order Fokker-Planck coefficients are greatly simplified. An alternate form for the Coulomb logarithm is derived with concern to the temperature relaxation in a binary plasma.

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