The collision theory reaction rate coefficient for power-law distributions
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.
- Publication:
-
Physica A Statistical Mechanics and its Applications
- Pub Date:
- 2014
- DOI:
- 10.1016/j.physa.2014.03.057
- arXiv:
- arXiv:1403.5439
- Bibcode:
- 2014PhyA..407..119Y
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- Physics - Chemical Physics
- E-Print:
- 12 pages, 3 figures,34 references. arXiv admin note: text overlap with arXiv:1310.7188