Granular entropy: Explicit calculations for planar assemblies

Details Granular entropy: Explicit calculations for planar assemblies Granular entropy: Explicit calculations for planar assemblies

2003-03-20

arxiv.org/abs/cond-mat/0303418v1

Physics

Condensed Matter

Statistical Mechanics

To appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.90.114303

This paper proposes a new volume function for calculation of the entropy of planar granular assemblies. This function is extracted from the antisymmetric part of a new geometric tensor and is rigorously additive when summed over grains. It leads to the identification of a conveniently small phase space. The utility of the volume function is demonstrated on several case studies, for which we calculate explicitly the mean volume and the volume fluctuations.

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