Logarithmic Relaxations in a Random Field Lattice Gas Subject to Gravity

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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15 pages, latex, 7 figures included

Scientific paper

10.1103/PhysRevE.59.3858

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.

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