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

被引：45

作者：

Blumenfeld, R ^{[1
]}

Edwards, SF

机构：

[1] Univ London Imperial Coll Sci Technol & Med, London SW7 2BP, England

[2] Cavendish Lab, Cambridge CB3 0HE, England

来源：

EUROPEAN PHYSICAL JOURNAL E | 2006年 / 19卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1140/epje/e2006-00014-7

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

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.

引用

页码：23 / 30

页数：8

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