Statistical mechanics of two-dimensional foams: Physical foundations of the model
arXiv:1507.04542 · doi:10.1140/epje/i2015-15137-9
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.
References in corpus (10)
- Cell adhesion and cortex contractility determine cell patterning in the Drosophila retina
- Rate Dependence and Role of Disorder in Linearly Sheared Two-Dimensional Foams
- Resolving long-range spatial correlations in jammed colloidal systems using photon correlation imaging
- Transitions among crystal, glass, and liquid in a binary mixture with changing particle size ratio and temperature
- On the relevance of disorder in athermal amorphous materials under shear
- Rheology of athermal amorphous solids: Revisiting simplified scenarios and the concept of mechanical noise temperature
- Topological and geometrical disorder correlate robustly in two-dimensional foams
- Thermodynamic Limit in Statistical Physics
- Limits of the equivalence of time and ensemble averages in shear flows
- Topological correlations and asymptotic freedom in cellular aggregates