Entropy and temperature of a static granular assembly: An ab initio approach

Silke Henkes, Corey S. O'Hern, Bulbul Chakraborty

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Abstract

We construct a statistical framework for static assemblies of deformable grains which parallels that of equilibrium statistical mechanics but with a conservation principle based on the mechanical stress tensor. We define a state function that has all the attributes of entropy. In particular, maximizing this function leads to a well-defined granular temperature and the equivalent of the Boltzman distribution for ensembles of grain packings. Predictions of the ensemble are verified against simulated packings of frictionless, deformable disks.

Original languageEnglish
Article number038002
Number of pages4
JournalPhysical Review Letters
Volume99
Issue number3
DOIs
Publication statusPublished - 20 Jul 2007

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