The power-law TST reaction rate coefficient with tunneling correction
arXiv:1407.0012 · doi:10.1016/j.physa.2014.06.051
Abstract
We study the TST reaction rate for the systems with power-law distributions. We derive the expressions of the reaction rate coefficient with tunneling correction, which strongly depends on the power-law parameter. The numerical results show that a small deviation from one in the parameter can result in a significant change in the rate coefficient, but only cause a small change in the tunneling correction. Thus the tunneling correction is not sensitive to the power-law distributions. As an application example, we take the hydrogen reaction to calculate the power-law reaction rate coefficient with the tunneling correction, the results of which with the parameter slightly different from one are in good agreement with all the experimental studies in temperature range 200~1000K.
12 pages, 4 figures, 2 tables, 25 references
References in corpus (6)
- The power-law reaction rate coefficient for an elementary bimolecular reaction
- 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 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