The power-law TST reaction rate coefficient with tunneling correction

TL;DR

This paper derives a reaction rate coefficient with tunneling correction for systems with power-law distributions, showing its dependence on the power-law parameter and validating it with hydrogen reaction data.

Contribution

It introduces a new expression for the reaction rate coefficient with tunneling correction considering power-law distributions, highlighting its insensitivity to small parameter changes.

Findings

Small deviations in the power-law parameter significantly affect the rate coefficient.

Tunneling correction remains relatively insensitive to the power-law parameter.

Calculated rates agree well with experimental data in 200-1000K range.

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.