Publication Date

6-2013

Comments

Technical Report: UTEP-CS-13-35

Abstract

According to the traditional formulas of chemical kinetics, the rate is proportional to the product of concentrations of reagents. This formula leads to a reasonable description of interactions both in chemistry and in other disciplines (e.g., in ecology). However, in many cases, these formulas are only approximate. Several semi-empirical formulas have been designed to more accurately describe the interaction rate. The problem is that most of these formulas are purely empirical, they lack a convincing theoretical explanation. In this paper, we show that a group-theoretic approach -- taking into account natural symmetries of the systems -- leads to the desired theoretical explanation for these empirical formulas.

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