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Solution of the BGK model kinetic equation for very hard particle interaction

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Abstract

We study the Bhatnagar-Gross-Krook model kinetic equation with a velocity-dependent collision frequency. We derive the conditions that must be verified in order to keep the main physical properties of the Boltzmann equation, i.e.,H-theorem and conservation laws. The particular case of the so-called VHP interaction is considered, and the resulting kinetic equation is solved for a homogeneous and isotropic gas. Overpopulation phenomena are observed and analyzed for some kinds of initial conditions. The results are compared, where possible, with the exact solution of the Boltzmann equation.

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Authors and Affiliations

  1. Departamento de Fisica Teórica, Facultad de Fisica, Universidad de Sevilla, Apdo. Correos, Sector Sur, 1065, Sevilla, Spain

    J. J. Brey & A. Santos

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  1. J. J. Brey
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  2. A. Santos
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Brey, J.J., Santos, A. Solution of the BGK model kinetic equation for very hard particle interaction. J Stat Phys 37, 123–149 (1984). https://doi.org/10.1007/BF01012908

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  • DOI: https://doi.org/10.1007/BF01012908

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