The power-law reaction rate coefficient for barrierless reactions

作者:Yin Cangtao*; Du Jiulin
来源:Journal of Statistical Mechanics: Theory and Experiment , 2014, 2014(7): P07012.
DOI:10.1088/1742-5468/2014/07/P07012

摘要

We study the power-law reaction rate coefficient for barrierless reactions, when the reactions take place in systems with power-law distributions, and derive a generalized rate formula for the barrierless reactions in the Gorin model. We show that, unlike those for bimolecular and unimolcular reactions, due to the lack of barriers, the power-law rate coefficient for barrierless reactions does not have a power-law function, and thus is not very strongly dependent on the nu-parameter. Four barrierless reactions are taken as application examples to calculate the new rate coefficients, which with larger fitting nu-parameters can be exactly in agreement with measurements in the experimental studies.