Entropy and Temperature of a Static Granular Assembly: An AbInitio Approach
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 welldefined 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.
 Publication:

Physical Review Letters
 Pub Date:
 July 2007
 DOI:
 10.1103/PhysRevLett.99.038002
 arXiv:
 arXiv:condmat/0701489
 Bibcode:
 2007PhRvL..99c8002H
 Keywords:

 45.70.n;
 64.30.+t;
 83.80.Fg;
 Granular systems;
 Equations of state of specific substances;
 Granular solids;
 Condensed Matter  Statistical Mechanics;
 Condensed Matter  Soft Condensed Matter
 EPrint:
 5 pages, 4 figures