Entropy and Temperature of a Static Granular Assembly: An Ab Initio Approach

by: Silke Henkes, Corey S O'Hern, Bulbul Chakraborty

Physical Review Letters, Vol. 99, No. 3. (2007)

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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.

@article{citeulike:2553057, 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.}, author = {Henkes, Silke and O'Hern, Corey S. and Chakraborty, Bulbul }, citeulike-article-id = {2553057}, doi = {10.1103/PhysRevLett.99.038002}, journal = {Physical Review Letters}, keywords = {2007, grains, ohern, temperature}, number = {3}, posted-at = {2008-03-18 21:55:25}, priority = {2}, publisher = {APS}, title = {Entropy and Temperature of a Static Granular Assembly: An Ab Initio Approach}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PRLTAO000099000003038002000001\&idtype=cvips\&gifs=yes}, volume = {99}, year = {2007} }

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TY - JOUR ID - citeulike:2553057 L3 - citeulike-article-id:2553057 TI - Entropy and Temperature of a Static Granular Assembly: An Ab Initio Approach JF - Physical Review Letters VL - 99 IS - 3 PB - APS N2 - 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. KW - 2007 KW - grains KW - ohern KW - temperature AU - Henkes, Silke AU - O'Hern, Corey AU - Chakraborty, Bulbul PY - 2007/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000099000003038002000001&idtype=cvips&gifs=yes ER -

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