title: Statistical mechanics of two-dimensional shuffled foams: prediction of the correlation between geometry and topology.
abstract: We propose an analytical model for the statistical mechanics of shuffled two-dimensional foams with moderate bubble size polydispersity. It predicts without any adjustable parameters the correlations between the number of sides n of the bubbles (topology) and their areas A (geometry) observed in experiments and numerical simulations of shuffled foams. Detailed statistics show that in shuffled cellular patterns n correlates better with √A (as claimed by Desch and Feltham) than with A (as claimed by Lewis and widely assumed in the literature). At the level of the whole foam, standard deviations Δn and ΔA are in proportion. Possible applications include correlations of the detailed distributions of n and A, three-dimensional foams, and biological tissues.
authors: Matière et Systèmes Complexes (MSC), Paris, France. marc.durand@univ-paris-diderot.fr
authors: Marc
authors: M
authors: Durand
authors: Jos
authors: J
authors: Käfer
authors: Catherine
authors: C
authors: Quilliet
authors: Simon
authors: S
authors: Cox
authors: Shirin Ataei
authors: SA
authors: Talebi
authors: François
authors: F
authors: Graner
mesh_terms: D008958:Models, Molecular; D008968:Molecular Conformation; D011338:Probability Theory; D013696:Temperature