M. Hashemi et al., PERCOLATION WITH 2 INVADERS AND 2 DEFENDERS - VOLATILE CLUSTERS, OSCILLATIONS, AND SCALING, Physical review letters, 80(15), 1998, pp. 3248-3251
propose a novel model of two-phase flow in porous media in which both
fluids act as the invaders as well as the defenders. Monte Carlo simul
ations show that the structure of the fluids' clusters is volatile and
changes with the time t and length scale. Moreover, n(s), the number
of clusters of size s, and (s), the mean cluster size, both oscillate
with t, indicating the constant breakup and recoalescence of the clust
ers. New dynamical scaling laws for the cluster size distribution are
also obtained.