The collision theory reaction rate coefficient for power-law distributions
Statistical Mechanics
2015-08-10 v2 Chemical Physics
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.
Keywords
Cite
@article{arxiv.1403.5439,
title = {The collision theory reaction rate coefficient for power-law distributions},
author = {Cangtao Yin and Jiulin Du},
journal= {arXiv preprint arXiv:1403.5439},
year = {2015}
}
Comments
12 pages, 3 figures,34 references. arXiv admin note: text overlap with arXiv:1310.7188