2007/01/19 by Silke Henkes, Corey S. O’Hern, Corey S. O'Hern +1 · 2 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Ab initio #Artificial intelligence #Canonical ensemble #Cauchy stress tensor #Classical mechanics #Computer science #Distribution function #Entropy (arrow of time) #Granular flow and fluidized beds #Granular material #Material Dynamics and Properties #Mathematics #Monte Carlo method #Phase Equilibria and Thermodynamics #Physics #Principle of maximum entropy #Quantum mechanics #Statistical ensemble #Statistical mechanics #Statistical physics #Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.038002
published as Phys. Rev. Lett. 99, 038002 (2007) · 5 pages, 4 figures
arxiv created 2007/01/19 · openalex publication_date 2007/07/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.