The power-law reaction rate coefficient for barrierless reactions

TL;DR

This paper derives a generalized power-law rate formula for barrierless reactions in systems with power-law distributions, showing it is less dependent on distribution parameters and aligning well with experimental data.

Contribution

It introduces a new rate coefficient formula for barrierless reactions in power-law systems, differing from traditional models and matching experimental results.

Findings

Derived a generalized rate formula for barrierless reactions.

Found the rate coefficient is weakly dependent on the power-law distribution parameter.

Validated the formula with four reaction examples matching experimental data.

Abstract

The power-law reaction rate coefficient for the barrierless reactions is studied if the reactions take place in systems with power-law distributions, and a generalized rate formula for the barrierless reactions in Gorin model is derived. We show that due to barrierless, different from those for bimolecular and unimolcular reactions, the power-law rate coefficient for the barrierless reactions does not have the factor of power-law distribution function and thus it is not very strongly dependent on the nu-parameter. Four barrierless reactions are taken as the application examples to calculate the new rate coefficients, which with larger fitting nu-parameters can be exactly in agreement with the measurement values in experimental studies.