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The power-law reaction rate coefficient for an elementary bimolecular reaction

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  • Yin, Cangtao
  • Du, Jiulin

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 the TST rate coefficient on the power-law parameter, and clearly indicate that a tiny deviation from unity in the parameter (thus from a Boltzmann–Gibbs distribution) would result in significant changes in the rate coefficient. We take an elementary reaction, F+H2→FH+H, as an application example to calculate the reaction rate coefficient, and yield the rate values being exactly in agreement with the measurement values in all the experimental studies in the temperature range 190–765 K.

Suggested Citation

  • Yin, Cangtao & Du, Jiulin, 2014. "The power-law reaction rate coefficient for an elementary bimolecular reaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 416-424.
    • Handle: RePEc:eee:phsmap:v:395:y:2014:i:c:p:416-424
    DOI: 10.1016/j.physa.2013.10.038
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    Cited by:

    1. Michel, Denis, 2018. "A probabilistic rate theory connecting kinetics to thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 26-44.

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