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Analytical methods of solution of the relaxational equations

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Zeitschrift für Physik B Condensed Matter

Abstract

The master equations system for rotational, vibrational and chemical kinetics in nonuniform gas flows with the sources is studied. Two approximate analytical methods of its solution for the arbitrary rate constants are developed for the case of the smooth distributions. The first method is based on the introduction of slow variables to the discrete equations. The second one uses WKB solution for diffusion approximation in Fokker-Planck form. The particular cases of harmonic and weakly anharmonic oscillators relaxation are examined.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Leningrad State University, Petrodvoretz, SU-199034, Leningrad, USSR

    G. V. Dubrovskiy & A. V. Antonov

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  1. G. V. Dubrovskiy
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  2. A. V. Antonov
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Dubrovskiy, G.V., Antonov, A.V. Analytical methods of solution of the relaxational equations. Z. Physik B - Condensed Matter 77, 461–469 (1989). https://doi.org/10.1007/BF01453797

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  • DOI: https://doi.org/10.1007/BF01453797

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