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Simply conceiving the Arrhenius law and absolute kinetic constants using the geometric distribution

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  • Michel, Denis

Abstract

Although first-order rate constants are basic ingredients of physical chemistry, biochemistry and systems modeling, their innermost nature is derived from complex physical chemistry mechanisms. The present study suggests that equivalent conclusions can be more straightly obtained from simple statistics. The different facets of kinetic constants are first classified and clarified with respect to time and energy and the equivalences between traditional flux rate and modern probabilistic modeling are summarized. Then, a naive but rigorous approach is proposed to concretely perceive how the Arrhenius law naturally emerges from the geometric distribution. It appears that (1) the distribution in time of chemical events as well as (2) their mean frequency, are both dictated by randomness only and as such, are accurately described by time-based and spatial exponential processes respectively.

Suggested Citation

  • Michel, Denis, 2013. "Simply conceiving the Arrhenius law and absolute kinetic constants using the geometric distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4258-4264.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4258-4264
    DOI: 10.1016/j.physa.2013.05.036
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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.
    2. Michel, Denis, 2014. "New treatments of density fluctuations and recurrence times for re-estimating Zermelo’s paradox," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 407(C), pages 128-134.
    3. Michel, Denis, 2018. "Test of the formal basis of Arrhenius law with heat capacities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 188-199.

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