| Issue |
EPL
Volume 90, Number 6, June 2010
|
|
|---|---|---|
| Article Number | 60002 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/90/60002 | |
| Published online | 13 July 2010 | |
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
marc.durand@univ-paris-diderot.fr
Received:
30
October
2009
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
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