The collision theory reaction rate coefficient for power-law distributions

Cangtao Yin; Jiulin Du

doi:10.1016/j.physa.2014.03.057

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arXiv · 1403.5439

The collision theory reaction rate coefficient for power-law distributions

Cangtao Yin·Jiulin Du

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Abstract

The collision theory for power-law distributions and a generalized collision theory rate coefficient is studied when the reactions take place in nonequilibrium systems with power-law distributions. We obtain the power-law rate coefficient and by numerical analyses we show a very strong dependence of the rate coefficient on the power-law parameter. We find that the power-law collision theory can successfully overcome the two difficulties of Lindemann-Christiansen mechanism. We take three reactions as examples to calculate the pre-exponential factor and yield the values that can be exactly in agreement with those measured in the experimental studies.

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Cangtao Yin, Jiulin Du. 2014-03-24. The collision theory reaction rate coefficient for power-law distributions. https://doi.org/10.1016/j.physa.2014.03.057

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