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American Physical Society, Physical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics, 4(59), p. 3858-3863, 1999

DOI: 10.1103/physreve.59.3858

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Logarithmic Relaxations in a Random Field Lattice Gas Subject to Gravity

Journal article published in 1999 by Marina Piccioni, Mario Nicodemi ORCID, Serge Galam
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This paper is available in a repository.

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Abstract

A simple lattice gas model with random fields and gravity is introduced to describe a system of grains moving in a disordered environment. Off equilibrium relaxations of bulk density and its two time correlation functions are numerically found to show logarithmic time dependences and "aging" effects. Similitudes with dry granular media are stressed. The connections with off equilibrium dynamics in others kinds of "frustrated" lattice models in presence of a directional driving force (gravity) are discussed to single out the appearance of universal features in the relaxation process. Comment: 15 pages, latex, 7 figures included