Statistical mechanics of two-dimensional foams
Matière et Systèmes Complexes (MSC), UMR 7057 CNRS and Université Paris Diderot 10 rue Alice Domon et Léonie Duquet, 75205 Paris Cedex 13, France, EU
Accepted: 11 June 2010
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.
PACS: 05.65.+b – Self-organized systems / 83.80.Iz – Emulsions and foams / 02.70.Rr – General statistical methods
© EPLA, 2010