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Matrix elements and kernels of the collision integral in the Boltzmann equation

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Abstract

This article elaborates upon our previous work in which some general properties of the matrix elements and kernels of the gain and loss terms of the collision integral were found. The object of study is the loss term of the collision integral, since related analytical expressions are simple. Formulas to calculate the matrix elements are derived. The kernels of power-law interaction potentials are completely investigated and constructed using analytical and numerical approaches.

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Authors and Affiliations

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

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

  2. St. Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia

    I. A. Ender

Authors
  1. A. Ya. Ender
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  2. I. A. Ender
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  3. L. A. Bakaleinikov
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  4. E. Yu. Flegontova
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Correspondence to A. Ya. Ender.

Additional information

Original Russian Text © A.Ya. Ender, I.A. Ender, L.A. Bakaleinikov, E.Yu. Flegontova, 2011, published in Zhurnal Tekhnicheskoĭ Fiziki, 2011, Vol. 81, No. 4, pp. 24–34.

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Ender, A.Y., Ender, I.A., Bakaleinikov, L.A. et al. Matrix elements and kernels of the collision integral in the Boltzmann equation. Tech. Phys. 56, 452–463 (2011). https://doi.org/10.1134/S1063784211040141

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  • DOI: https://doi.org/10.1134/S1063784211040141

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