IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i19p4258-4264.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113004597
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2013.05.036?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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, 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.
    3. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:392:y:2013:i:19:p:4258-4264. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.