Simply conceiving the Arrhenius law and absolute kinetic constants using the geometric distribution - Université de Rennes Accéder directement au contenu
Article Dans Une Revue Physica A: Statistical Mechanics and its Applications Année : 2013

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

Denis Michel
Connectez-vous pour contacter l'auteur

Résumé

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.
Fichier principal
Vignette du fichier
PhysA.pdf (494.04 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00845518 , version 1 (17-07-2013)
hal-00845518 , version 2 (19-12-2013)

Identifiants

Citer

Denis Michel. Simply conceiving the Arrhenius law and absolute kinetic constants using the geometric distribution. Physica A: Statistical Mechanics and its Applications, 2013, 392 (19), pp.4258-4264. ⟨10.1016/j.physa.2013.05.036⟩. ⟨hal-00845518v2⟩
193 Consultations
303 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More