Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions

Details Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions Geometric partition functions of cellular systems: Explicit calculation of the entropy in two and three dimensions

2005-11-22

arxiv.org/abs/cond-mat/0511551v1

Physics

Condensed Matter

Soft Condensed Matter

14 pages, 4 figures, to appear in The European Physical Journal E - Soft Matter

Scientific paper

10.1140/epje/e2006-00014-7

A method is proposed for the characterisation of the entropy of cellular structures, based on the compactivity concept for granular packings. Hamiltonian-like volume functions are constructed both in two and in three dimensions, enabling the identification of a phase space and making it possible to take account of geometrical correlations systematically. Case studies are presented for which explicit calculations of the mean vertex density and porosity fluctuations are given as functions of compactivity. The formalism applies equally well to two- and three-dimensional granular assemblies.

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