The collision theory reaction rate coefficient for power-law distributions

Cangtao Yin and Jiulin Du

Physica A: Statistical Mechanics and its Applications, 2014, vol. 407, issue C, 119-127

Abstract: The collision theory for power-law distributions and the generalized reaction rate coefficient are studied when reactions take place in nonequilibrium systems with power-law distributions. We obtain the power-law reaction 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 the Lindemann–Christiansen mechanism. We take three reactions as examples to calculate the new pre-exponential factor and yield the values that can be exactly in agreement with those measured in the experimental studies.

Keywords: Power-law distributions; The collision theory; Reaction rate coefficient (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:407:y:2014:i:c:p:119-127

DOI: 10.1016/j.physa.2014.03.057

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