The rate coefficients of unimolecular reactions in the systems with power-law distributions
| Autor: | Yin, Cangtao, Guo, Ran, Du, Jiulin |
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| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Physica A 408 (2014) 85-95 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.physa.2014.04.021 |
| Popis: | 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. Comment: 16 pages, 8 figures, 4 tables, 35 references |
| Databáze: | arXiv |
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