Correlations in cellular patterns
Marcelo O. Mangasco · Philosophical Magazine B · 1994
Cellular domain patterns arise from a competition between a minimization process (such as surface tension) and geometric constraints; from this competition a topological structure emerges which dominates the patterns' geometry and dynamics. The best-studied cellular system is the two-dimensional soap froth, but, even though it is conceptually and formally the simplest member of the family, its long time and long distance properties are far from elucidated. We study the spatial correlations induced into the topological structure of cellular patterns by both the dynamics and the embedding process that defines the geometry of the patterns and show that these correlations strongly deviate from those of a freely fluctuating topology.