Equilibrium Distribution of the Inherent States and their Dynamics in Glassy Systems and Granular Media

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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revised and improved version including new results on a 3D hard-spheres model; 4 pages, 4 figures

Scientific paper

10.1209/epl/i2002-00173-x

The present paper proposes a Statistical Mechanics approach to the inherent states of glassy systems and granular materials, following the original ideas developed by Edwards for granular materials. Two lattice models, a diluted Spin Glass and a system of hard-spheres under gravity, introduced in the context of glassy systems and granular materials, are evolved using a ``tap dynamics'' analogous to that of experiments on granular materials. The asymptotic macrostates, reached by the system, are shown to be described by a single thermodynamical parameter, and this parameter to coincide with the temperature, called the ``configurational temperature'', predicted assuming that the distribution among the inherent states satisfies the principle of maximum entropy.

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