Topological correlations in soap froths

TL;DR

This paper investigates the correlations in two-dimensional soap froths using an effective potential, revealing complex neighbor interactions and extended correlations beyond immediate neighbors.

Contribution

It introduces an effective potential approach to analyze soap froth correlations, uncovering non-bilinear attraction and long-range neighbor correlations.

Findings

Cells with equal sides repel linearly

Cells with different sides attract non-bilinearly

Froth is correlated up to third shell neighbors

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.