Statistical Mechanics of Two-dimensional Foams

Details Statistical Mechanics of Two-dimensional Foams Statistical Mechanics of Two-dimensional Foams

2010-09-07

arxiv.org/abs/1009.1309v1

Europhysics Letters (EPL) 90 (2010) 60002

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1209/0295-5075/90/60002

The methods of statistical mechanics are applied to two-dimensional foams under macroscopic agitation. A new variable -- the total cell curvature -- is introduced, which plays the role of energy in conventional statistical thermodynamics. The probability distribution of the number of sides for a cell of given area is derived. This expression allows to correlate the distribution of sides ("topological disorder") to the distribution of sizes ("geometrical disorder") in a foam. The model predictions agree well with available experimental data.

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