Phys. Rev. Lett. 90, 114303 (2003) [4 pages]Granular Entropy: Explicit Calculations for Planar AssembliesReceived 30 October 2002; published 21 March 2003 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.114303
DOI:
10.1103/PhysRevLett.90.114303
PACS:
45.70.Cc, 64.30.+t
See AlsoComment: Massimo Pica Ciamarra, Comment on “Granular Entropy: Explicit Calculations for Planar Assemblies”, Phys. Rev. Lett. 99, 089401 (2007). Reply: Raphael Blumenfeld and Sam F. Edwards, Blumenfeld and Edwards Reply:, Phys. Rev. Lett. 99, 089402 (2007). |
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