The power-law reaction rate coefficient for an elementary bimolecular reaction
arXiv:1310.7188 · doi:10.1016/j.physa.2013.10.038
Abstract
The power-law TST reaction rate coefficient for an elementary bimolecular reaction is studied when the reaction takes place in a nonequilibrium system with power-law distributions. We derive a generalized TST rate coefficient, which not only depends on a power-law parameter but also on the reaction coordinate frequency of transition state. The numerical analyses show a very strong dependence of TST rate coefficient on the power-law parameter, and clearly indicate that a tiny deviation from unity in the parameter (thus from the Boltzmann-Gibbs distribution) would result in significant changes in the rate coefficient. We take an elementary F+H2 reaction as an application example to calculate the reaction rate coefficient, and yield the rate values being exactly agreement with the measurement values in all the experimental studies in temperature range 190~765K.
14 pages,5 figures, 2 tables
Cited by in corpus (15)
- The collision theory reaction rate coefficient for power-law distributions
- Kramers escape rate in overdamped systems with the power-law distribution
- The rate coefficients of unimolecular reactions in the systems with power-law distributions
- The nonextensive statistical ensembles with dual thermodynamic interpretations
- Are power-law distributions an equilibrium distribution or a stationary nonequilibrium distribution?
- The precise time-dependent solution of the Fokker-Planck equation with anomalous diffusion
- Escape rate for the power-law distribution in low-to-intermediate damping
- The power-law TST reaction rate coefficient with tunneling correction
- The collision frequency of electron-neutral-particle in the weakly ionized plasma with the power-law velocity distribution
- The dual formalisms of nonextensive thermodynamics for open systems with maximum entropy principle
- The adiabatic static linear response function in nonextensive statistical mechanics
- The power-law reaction rate coefficient for barrierless reactions
- Thermodynamic properties of the solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation
- A nonextensive approach for understanding the van der Waals' equation
- The collision frequencies of charged particles in the complex plasmas with the non-Maxwellian velocity distributions