A “Tetris-Like” Model for the Compaction of Dry Granular Media

Emanuele Caglioti, Vittorio Loreto, Hans J. Herrmann, and Mario Nicodemi
Phys. Rev. Lett. 79, 1575 – Published 25 August 1997
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Abstract

We propose a two-dimensional geometrical model, based on the concept of geometrical frustration, conceived for the study of compaction in granular media. The dynamics exhibits an interesting inverse logarithmic law that is well known from real experiments. Moreover, we present a simple dynamical model of N planes exchanging particles with excluded volume problems, which allows us to clarify the origin of the logarithmic relaxations and the stationary density distribution. A simple mapping allows us to cast this Tetris-like model in the form of an Ising-like spin system with vacancies.

  • Received 13 February 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.1575

©1997 American Physical Society

Authors & Affiliations

Emanuele Caglioti1, Vittorio Loreto2,3, Hans J. Herrmann2,4, and Mario Nicodemi2,5

  • 1Dipartimento di Matematica, Universitá di Roma “La Sapienza,” Piazzale Aldo Moro 2, 00185 Roma, Italy
  • 2P.M.M.H. Ecole de Physique et Chimie Industrielles, 10, rue Vauquelin, 75231 Paris CEDEX 05, France
  • 3ENEA Research Center, Localitá Granatello C.P. 32 80055, Portici-Napoli, Italy
  • 4ICA1, Universitaet Stuttgart, Germany
  • 5Dipartimento di Fisica, Universitá di Napoli “Federico II,” INFM and INFN Sezione di Napoli Mostra d'Oltremare, Padiglione 19, 80125 Napoli, Italy

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Vol. 79, Iss. 8 — 25 August 1997

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