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arXiv · 1404.7213

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

Cangtao Yin·Ran Guo·Jiulin Du
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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 nu-parameter, the threshold energy, the temperature and the number of degrees of freedom. We show that the new rate coefficients depend strongly on the nu-parameter different from one (thus from a Boltzmann-Gibbs distribution). Two unimolecular reactions are taken as application examples to calculate their power-law rate coefficients, which obtained with the nu-parameters slightly different from one can be exactly in agreement with all the experimental studies on these two reactions in the given temperature ranges.

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Cangtao Yin, Ran Guo, Jiulin Du. 2014-04-30. The rate coefficients of unimolecular reactions in the systems with power-law distributions. https://doi.org/10.1016/j.physa.2014.04.021

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