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Applications of the statistical mechanics of inherent states to granular media

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  • Coniglio, Antonio
  • Fierro, Annalisa
  • Nicodemi, Mario

Abstract

We review the results of a statistical mechanics approach to granular materials and its extension to non-thermal systems in their “inherent states”. We introduce a “tapping” dynamics, based on a dynamics used for real granular matter, which allows to visit the space of the inherent states. It is assumed that under stationarity or quasi-stationarity the distribution among the inherent states satisfies the principle of maximum entropy. This leads to a distribution characterised by a configurational temperature related to Edwards compactivity. The prediction from such an approach are checked on a standard Hamiltonian lattice model and, in the present unifying framework, it is possible to explain a variety of properties of granular materials, ranging from their logarithmic compaction to typical “memory” phenomena.

Suggested Citation

  • Coniglio, Antonio & Fierro, Annalisa & Nicodemi, Mario, 2001. "Applications of the statistical mechanics of inherent states to granular media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 193-201.
    • Handle: RePEc:eee:phsmap:v:302:y:2001:i:1:p:193-201
    DOI: 10.1016/S0378-4371(01)00464-2
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    Cited by:

    1. Tejada, Ignacio G., 2011. "A new statistical mechanics approach to dense granular media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2664-2677.

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