Entropy and temperature of a static granular assembly

An ab initio approach

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

Research output: Contribution to journalArticle

94 Citations (Scopus)

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

Cite this

Entropy and temperature of a static granular assembly : An ab initio approach. / Henkes, Silke; O'Hern, Corey S.; Chakraborty, Bulbul.

In: Physical Review Letters, Vol. 99, No. 3, 038002, 20.07.2007.

Research output: Contribution to journalArticle

Henkes, Silke ; O'Hern, Corey S. ; Chakraborty, Bulbul. / Entropy and temperature of a static granular assembly : An ab initio approach. In: Physical Review Letters. 2007 ; Vol. 99, No. 3.
@article{8839655363654ac0852846263ca03977,
title = "Entropy and temperature of a static granular assembly: An ab initio 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 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 = "Silke Henkes and O'Hern, {Corey S.} and Bulbul Chakraborty",
year = "2007",
month = "7",
day = "20",
doi = "10.1103/PhysRevLett.99.038002",
language = "English",
volume = "99",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "3",

}

TY - JOUR

T1 - Entropy and temperature of a static granular assembly

T2 - An ab initio approach

AU - Henkes, Silke

AU - O'Hern, Corey S.

AU - Chakraborty, Bulbul

PY - 2007/7/20

Y1 - 2007/7/20

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.

AB - 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.

U2 - 10.1103/PhysRevLett.99.038002

DO - 10.1103/PhysRevLett.99.038002

M3 - Article

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

M1 - 038002

ER -