Monte Carlo simulation of the evolution of a two-dimensional soap froth

Abstract

Abstract The results of a Monte Carlo simulation for the temporal evolution of a two-dimensional soap froth are reported. The simulation was used, in particular, to study the asymptotic behaviour of the system, as t→∞. It is an alternative method to the previous technique used to model the froth by Weaire and Kermode (1983 b). In the Monte Carlo simulation the network of cells is mapped onto a discrete lattice of (200 × 200) points with periodic boundary conditions. The main quantities of interest are the rate of increase of average cell diameter and the behaviour of the distribution of numbers of sides f(n), characterized by its second moment, as a function of time.