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Issue 24, 2011
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A statistical mechanics framework captures the packing of monodisperse particles

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Abstract

We present a generalization of the granocentric model proposed in [Clusel et al., Nature, 2009, 460, 611–615] that is capable of describing the local fluctuations inside not only polydisperse but also monodisperse packings of spheres. This minimal model does not take into account the relative particle positions, yet it captures positional disorder through local stochastic processes sampled by efficient Monte Carlo methods. The disorder is characterized by the distributions of local parameters, such as the number of neighbors and contacts, filled solid angle around a central particle and the cell volumes. The model predictions are in good agreement with our experimental data on monodisperse random close packings of PMMA particles. Moreover, the model can be used to predict the distributions of local fluctuations in any packing, as long as the average number of neighbors, contacts and the packing fraction are known. These distributions give a microscopic foundation to the statistical mechanics framework for jammed matter and allow us to calculate thermodynamic quantities such as the compactivity in the phase space of possible jammed configurations.

Graphical abstract: A statistical mechanics framework captures the packing of monodisperse particles

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Publication details

The article was received on 01 Jul 2011, accepted on 28 Sep 2011 and first published on 25 Oct 2011


Article type: Paper
DOI: 10.1039/C1SM06243C
Citation: Soft Matter, 2011,7, 11518-11525
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    A statistical mechanics framework captures the packing of monodisperse particles

    K. A. Newhall, I. Jorjadze, E. Vanden-Eijnden and J. Brujic, Soft Matter, 2011, 7, 11518
    DOI: 10.1039/C1SM06243C

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