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

Although first-order rate constants are basic ingredients of physical chemistry, biochemistry and systems modeling, their innermost nature is derived from com-plex physical chemistry mechanisms. The present study suggests that equivalent conclusions can be more straightly ob-tained from simple statistics. The dif-ferent facets of kinetic constants are first classified and clarified with respect to time and energy and the equivalences between traditional flux rate and modern proba-bilistic 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 dis-tribution in time of chemical events as well as (2) their mean frequency, are both dic-tated by randomness only and as such, are accurately described by time-based and spatial exponential processes respectively