The rate coefficients of unimolecular reactions in the systems with power-law distributions

• DOI: 10.1016/j.physa.2014.04.021
• Publication Date: 2014-04-19T15:45:14Z
• Authors: Cangtao Yin; Ran Guo; Jiulin Du
• Keywords: Rate equation; Boltzmann distribution; Reaction rate; Boltzmann constant

16 pages, 8 figures, 4 tables, 35 references<br/>The rate coefficient formulae of unimolecular reactions are generalized to the systems with the power-law distributions based on nonextensive statistics, and the power-law rate coefficients are derived in the high and low pressure limits, respectively. The numerical analyses are made of the rate coefficients as functions of the nu-parameter, the threshold energy, the temperature and the number of degrees of freedom. We show that the new rate coefficients depend strongly on the nu-parameter different from one (thus from a Boltzmann-Gibbs distribution). Two unimolecular reactions are taken as application examples to calculate their power-law rate coefficients, which obtained with the nu-parameters slightly different from one can be exactly in agreement with all the experimental studies on these two reactions in the given temperature ranges.<br/>