Modifications of statistics under dimer diffusion

Abstract

The diffusion, "explosion" and "evaporation" of dimers and the subsequent coalescence are treated in a formal way by identifying and solving the differential equations deduced from the respective behaviors of dimers in the different cases. This study leads to analytic formulas allowing to calculate, in a simple and fast way, the size statistics obtained after the coalescence of the dimers or their constituents once the dimers have completely disappeared. These formulas are of capital interest to characterize systems in which the dimers initially present disappear. 4 Study assumptions. Six assumptions will be made for this study: 1. Initial probabilities are known.