Granular entropy: Explicit calculations for planar assemblies
Statistical Mechanics
2009-11-10 v1 Materials Science
Soft Condensed Matter
Abstract
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.
Cite
@article{arxiv.cond-mat/0303418,
title = {Granular entropy: Explicit calculations for planar assemblies},
author = {Raphael Blumenfeld and Sam F. Edwards},
journal= {arXiv preprint arXiv:cond-mat/0303418},
year = {2009}
}
Comments
To appear in Physical Review Letters