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On the velocity relaxation of a Rayleigh gas

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  • Ferrari, Leonardo

Abstract

The relaxation of the most important velocity averages of the heavy component of a Rayleigh gas is considered. The relaxation process is studied first exactly in the Maxwell model, and, subsequently, by using the approximate equations following from the usual kinetic equation, in the Rayleigh limit. In some cases non-negligible discrepancies appear between the exact and the approximate results found for a Rayleigh gas in which a heavy-particle-light-particle Maxwellian interaction takes place. In particular it is shown that in certain situations the heavy-particle mean-square velocity components relax, in the approximate theory, in an unphysical way, unless an appropriate limitation on the initial heavy-particle mean velocity is imposed.

Suggested Citation

  • Ferrari, Leonardo, 1985. "On the velocity relaxation of a Rayleigh gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 133(1), pages 103-119.
    • Handle: RePEc:eee:phsmap:v:133:y:1985:i:1:p:103-119
    DOI: 10.1016/0378-4371(85)90058-5
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    Cited by:

    1. Majumdar, S.N. & Barma, Mustansir, 1991. "Two-tag correlation functions in one-dimensional lattice gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 366-372.

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