  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.
