Statistical Mechanics of Two-Dimensional Shuffled Foams: Prediction of the Correlation between Geometry and Topology

Marc Durand, Jos Kafer, Catherine Quilliet, Simon John Cox, Shirin Ataei Talebi, Francois Graner

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

24 Dyfyniadau(SciVal)
172 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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 sqrt(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 Delta n and Delta A are in proportion. Possible applications include correlations of the detailed distributions of n and A, three-dimensional foams, and biological tissues.
Iaith wreiddiolSaesneg
Tudalennau (o-i)168304-168309
Nifer y tudalennau5
CyfnodolynPhysical Review Letters
Cyfrol107
Rhif cyhoeddi16
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 13 Chwef 2012

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