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<identifier>oai:HAL:hal-00845518v2</identifier>
<datestamp>2014-10-13</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Simply conceiving the Arrhenius law and absolute kinetic constants using the geometric distribution</title>
<creator>Michel, Denis</creator>
<contributor>TREC : Transcription, Environment and Cancer ; Institut de recherche, santé, environnement et travail [Rennes] (Irset) ; INSERM - École Nationale de la Santé Publique - Université de Rennes 1 (UR1) - Université des Antilles et de la Guyane (UAG) - Structure Fédérative de Recherche en Biologie-Santé de Rennes (Biosit) ; Université de Rennes 1 (UR1) - INSERM - CNRS - INSERM - CNRS - INSERM - École Nationale de la Santé Publique - Université de Rennes 1 (UR1) - Université des Antilles et de la Guyane (UAG) - Structure Fédérative de Recherche en Biologie-Santé de Rennes (Biosit) ; Université de Rennes 1 (UR1) - INSERM - CNRS - INSERM - CNRS</contributor>
<description>International audience</description>
<source>Physica A: Statistical Mechanics and its Applications</source>
<publisher>Elsevier</publisher>
<identifier>hal-00845518</identifier>
<identifier>https://hal-univ-rennes1.archives-ouvertes.fr/hal-00845518</identifier>
<identifier>https://hal-univ-rennes1.archives-ouvertes.fr/hal-00845518v2/document</identifier>
<source>https://hal-univ-rennes1.archives-ouvertes.fr/hal-00845518</source>
<source>Physica A: Statistical Mechanics and its Applications, Elsevier, 2013, 392 (19), pp.4258-4264. <10.1016/j.physa.2013.05.036></source>
<identifier>ARXIV : 1307.4583</identifier>
<identifier>DOI : 10.1016/j.physa.2013.05.036</identifier>
<language>en</language>
<subject lang=en>Arrhenius law</subject>
<subject lang=en>Rate constant</subject>
<subject lang=en>Bose-Einstein distribution</subject>
<subject lang=en>Geometric law</subject>
<subject>[PHYS.PHYS.PHYS-DATA-AN] Physics/Physics/Data Analysis, Statistics and Probability</subject>
<type>Journal articles</type>
<description lang=en>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.</description>
<date>2013</date>
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