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We study the TST reaction rate for the systems with power-law distributions.We derive the expressions of the reaction rate coefficient with tunnelingcorrection, which strongly depends on the power-law parameter. The numericalresults show that a small deviation from one in the parameter can result in asignificant change in the rate coefficient, but only cause a small change inthe tunneling correction. Thus the tunneling correction is not sensitive to thepower-law distributions. As an application example, we take the hydrogenreaction to calculate the power-law reaction rate coefficient with thetunneling correction, the results of which with the parameter slightlydifferent from one are in good agreement with all the experimental studies intemperature range 200~1000K.

The power-law TST reaction rate coefficient with tunneling correction