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Exact solution of the Boltzmann kinetic equation for a Lorentzian gas

  • Plasma Kinetics
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Abstract

The classical methods of mathematical physics are applied to construct an integral solution to the Chapman-Cowling-Davydov equation, which is derived from the kinetic Boltzmann equation with a collision term in the Lorentzian-gas approximation. For a particular initial distribution, the solution is obtained in an explicit form in terms of a Whittaker function. It is shown that, on long (macroscopic) time scales, the evolving distribution function with an arbitrary initial shape approaches a Maxwellian distribution. This result agrees with the accepted views regarding the overall temporal evolution of an arbitrary unsteady isolated system.

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Authors and Affiliations

  1. Moscow State University, Vorob'evy gory, Moscow, 119899, Russia

    M. N. Gritsyn

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__________

Translated from Fizika Plazmy, Vol. 27, No. 3, 2001, pp. 276–281.

Original Russian Text Copyright © 2001 by Gritsyn.

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Gritsyn, M.N. Exact solution of the Boltzmann kinetic equation for a Lorentzian gas. Plasma Phys. Rep. 27, 259–264 (2001). https://doi.org/10.1134/1.1354225

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  • DOI: https://doi.org/10.1134/1.1354225

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