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Topological correlations in soap froths

arXiv:cond-mat/9707200 · doi:10.1103/PhysRevE.58.2656

Abstract

Correlation in two-dimensional soap froth is analysed with an effective potential for the first time. Cells with equal number of sides repel (with linear correlation) while cells with different number of sides attract (with NON-bilinear) for nearest neighbours, which cannot be explained by the maximum entropy argument. Also, the analysis indicates that froth is correlated up to the third shell neighbours at least, contradicting the conventional ideas that froth is not strongly correlated.

10 Pages LaTeX, 6 Postscript figures