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Statistical mechanics of two-dimensional foams: Physical foundations of the model

Abstract : In a recent series of papers [1–3], a statistical model that accounts for correlations between topological and geometrical properties of a two-dimensional shuffled foam has been proposed and compared with experimental and numerical data. Here, the various assumptions on which the model is based are exposed and justified: the equiprobability hypothesis of the foam configurations is argued. The range of correlations between bubbles is discussed, and the mean field approximation that is used in the model is detailed. The two self-consistency equations associated with this mean field description can be interpreted as the conservation laws of number of sides and bubble curvature, respectively. Finally, the use of a " Grand-Canonical " description, in which the foam constitutes a reservoir of sides and curvature, is justified.
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Contributor : Marc Durand Connect in order to contact the contributor
Submitted on : Saturday, January 9, 2016 - 1:04:08 AM
Last modification on : Tuesday, April 14, 2020 - 12:07:15 PM


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Marc Durand. Statistical mechanics of two-dimensional foams: Physical foundations of the model. European Physical Journal E: Soft matter and biological physics, EDP Sciences: EPJ, 2015, 38 (12), pp.137. ⟨10.1140/epje/i2015-15137-9⟩. ⟨hal-01176077v2⟩



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