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The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials

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Abstract

Analytic expressions are obtained for the collision integral kernels of the isotropic nonlinear Boltzmann equation for pseudopower interaction potentials. It is shown that for an arbitrary power exponent, the kernels can be expressed in terms of hypergeometric functions. In some cases, the kernels can be expressed in terms of elementary functions.

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Authors and Affiliations

  1. Ioffe Physical Technical Institute, Russian Academy of Sciences, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia

    L. A. Bakaleinikov, E. A. Tropp, E. Yu. Flegontova & A. Ya. Ender

  2. St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199164, Russia

    I. A. Ender

Authors
  1. L. A. Bakaleinikov
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  2. E. A. Tropp
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  3. E. Yu. Flegontova
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  4. A. Ya. Ender
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  5. I. A. Ender
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Corresponding author

Correspondence to L. A. Bakaleinikov.

Additional information

Original Russian Text © L.A. Bakaleinikov, E.A. Tropp, E.Yu. Flegontova, A.Ya. Ender, I.A. Ender, 2015, published in Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 85, No. 1, pp. 10–14.

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Bakaleinikov, L.A., Tropp, E.A., Flegontova, E.Y. et al. The collision integral kernels of the scalar nonlinear Boltzmann equation for pseudopower potentials. Tech. Phys. 60, 8–13 (2015). https://doi.org/10.1134/S1063784215010028

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  • DOI: https://doi.org/10.1134/S1063784215010028

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