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The rate coefficients of unimolecular reactions in the systems with power-law distributions

Author

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  • Yin, Cangtao
  • Guo, Ran
  • Du, Jiulin

Abstract

The rate coefficient formulae of unimolecular reactions are generalized to the systems with the power-law distributions based on nonextensive statistics, and the power-law rate coefficients are derived in the high and low pressure limits, respectively. The numerical analyses are made of the rate coefficients as functions of the ν-parameter, the threshold energy, the temperature and the number of degrees of freedom. We show that the new rate coefficients depend strongly on the ν-parameter different from one (thus from a Boltzmann–Gibbs distribution). Two unimolecular reactions, CH3CO→CH3+CO and CH3NC→CH3CN, are taken as application examples to calculate their power-law rate coefficients, which obtained with the ν-parameters slightly different from one can be exactly in agreement with all the experimental studies on these two reactions in the given temperature ranges.

Suggested Citation

  • Yin, Cangtao & Guo, Ran & Du, Jiulin, 2014. "The rate coefficients of unimolecular reactions in the systems with power-law distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 408(C), pages 85-95.
    • Handle: RePEc:eee:phsmap:v:408:y:2014:i:c:p:85-95
    DOI: 10.1016/j.physa.2014.04.021
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    Cited by:

    1. Lenzi, E.K. & Ribeiro, M.A. & Fuziki, M.E.K. & Lenzi, M.K. & Ribeiro, H.V., 2018. "Nonlinear diffusion equation with reaction terms: Analytical and numerical results," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 254-265.

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