Devising a protocol-related statistical mechanics framework for granular materials

Paillusson, Fabien (2015) Devising a protocol-related statistical mechanics framework for granular materials. Physical Review E, 91 (1). ISSN 1539-3755

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1504.00696v1.pdf - Whole Document

Item Type:Article
Item Status:Live Archive


Devising a statistical mechanics framework for jammed granular materials is a challenging task as those systems do not share some important properties required to characterize them with statistical thermodynamics tools. In a recent paper [Asenjo et al. Phys. Rev. Lett. 112, 098002 (2014)], a new definition of a granular entropy, which puts the protocol used to generate the packings at its roots, has been proposed. Following up these results, it is shown that the protocol used in Asenjo et al. can be recast as a canonical ensemble with a particular value of the temperature. Signature of gaussianity for large system sizes strongly suggests an asymptotic equivalence with a corresponding microcanonical ensemble where jammed states with certain basin volumes are sampled uniformly. We argue that this microcanonical ensemble is not Edwards's microcanonical ensemble and generalize this argument to other protocols.

Keywords:Granular matter, Statistical mechanics, JCNotOpen
Subjects:F Physical Sciences > F340 Mathematical & Theoretical Physics
G Mathematical and Computer Sciences > G340 Statistical Modelling
Divisions:College of Science > School of Mathematics and Physics
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ID Code:17982
Deposited On:09 Sep 2015 10:52

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