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
复制标题
细胞系统的几何配分函数：二维和三维熵的显式计算
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Sam F. Edwards
中科院分区：
文献类型：
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作者：
Raphael Blumenfeld;Sam F. Edwards
摘要：基于颗粒堆积的紧性概念，提出了一种表征胞状结构熵的方法。在二维和三维中构造了类似哈密顿的体积函数，从而能够识别相空间，并能够系统地考虑几何相关性。案例研究的平均顶点密度和孔隙度波动的显式计算作为压实度的函数。形式主义同样适用于二维和三维颗粒集合。
Abstract.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.