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The collision theory reaction rate coefficient for power-law distributions

Author

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  • Yin, Cangtao
  • Du, Jiulin

Abstract

The collision theory for power-law distributions and the generalized reaction rate coefficient are studied when reactions take place in nonequilibrium systems with power-law distributions. We obtain the power-law reaction rate coefficient, and by numerical analyses we show a very strong dependence of the rate coefficient on the power-law parameter. We find that the power-law collision theory can successfully overcome the two difficulties of the Lindemann–Christiansen mechanism. We take three reactions as examples to calculate the new pre-exponential factor and yield the values that can be exactly in agreement with those measured in the experimental studies.

Suggested Citation

  • Yin, Cangtao & Du, Jiulin, 2014. "The collision theory reaction rate coefficient for power-law distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 119-127.
    • Handle: RePEc:eee:phsmap:v:407:y:2014:i:c:p:119-127
    DOI: 10.1016/j.physa.2014.03.057
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    Cited by:

    1. Pengfei Liu & Mengchen Zhang & Ru Zhang & Qin Zhou, 2021. "Robust Estimation and Tests for Parameters of Some Nonlinear Regression Models," Mathematics, MDPI, vol. 9(6), pages 1-16, March.

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