The power-law reaction rate coefficient for barrierless reactions

Abstract

The power-law reaction rate coefficient for the barrierless reactions is studied if the reactions take place in systems with power-law distributions, and a generalized rate formula for the barrierless reactions in Gorin model is derived. We show that due to barrierless, different from those for bimolecular and unimolcular reactions, the power-law rate coefficient for the barrierless reactions does not have the factor of power-law distribution function and thus it is not very strongly dependent on the nu-parameter. Four barrierless reactions are taken as the application examples to calculate the new rate coefficients, which with larger fitting nu-parameters can be exactly in agreement with the measurement values in experimental studies.

9 pages, 2 figures, 1 table, 31 references

References in corpus (6)

• Gibbsian theory of power law distributions
• The collision theory reaction rate coefficient for power-law distributions
• Kramers escape rate in overdamped systems with the power-law distribution
• Nonextensive Reaction Rate
• The rate coefficients of unimolecular reactions in the systems with power-law distributions
• Escape rate for the power-law distribution in low-to-intermediate damping