The collision theory reaction rate coefficient for power-law distributions

Abstract

The collision theory for power-law distributions and a generalized collision theory rate coefficient is studied when the reactions take place in nonequilibrium systems with power-law distributions. We obtain the power-law 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 Lindemann-Christiansen mechanism. We take three reactions as examples to calculate the pre-exponential factor and yield the values that can be exactly in agreement with those measured in the experimental studies.

12 pages, 3 figures,34 references. arXiv admin note: text overlap with arXiv:1310.7188

References in corpus (5)

• The power-law reaction rate coefficient for an elementary bimolecular reaction
• Kramers escape rate in overdamped systems with the power-law distribution
• Nonextensive Reaction Rate
• The mean first passage time in an energy-diffusion controlled regime with power-law distributions
• Escape rate for the power-law distribution in low-to-intermediate damping

Cited by in corpus (5)

• The rate coefficients of unimolecular reactions in the systems with power-law distributions
• The collision frequency of electron-neutral-particle in the weakly ionized plasmas with Non-Maxwellian velocity distributions
• The power-law TST reaction rate coefficient with tunneling correction
• The adiabatic static linear response function in nonextensive statistical mechanics
• The power-law reaction rate coefficient for barrierless reactions