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Vibrational distribution functions and relaxation rate in anharmonic-oscillator systems

  • B. F. Gordiets
  • Sh. S. Mamedov
Article

Abstract

Analytical expressions were derived for the vibrational distribution function in a system of anharmonic oscillators under conditions where the supply of vibrational energy considerably exceeded the equilibrium value. Distribution was found by considering the effect of vibrational-vibrational and vibrational-translational energy exchange, as well as spontaneous radiative transitions. Analytical expressions were also obtained for the relaxation rate of vibrational energy. It was shown that where there is a strong deviation from equilibrium this rate can significantly exceed the corresponding value for a model of harmonic oscillators and is determined by the probability of vibrational-vibrational exchange in the molecules.

Keywords

Mathematical Modeling Distribution Function Mechanical Engineer Industrial Mathematic Harmonic Oscillator 
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Copyright information

© Plenum Publishing Corporation 1975

Authors and Affiliations

  • B. F. Gordiets
    • 1
  • Sh. S. Mamedov
    • 1
  1. 1.Moscow

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