Thermodynamics and statistical mechanics of frozen systems in inherent states

Details Thermodynamics and statistical mechanics of frozen systems in inherent states Thermodynamics and statistical mechanics of frozen systems in inherent states

2002-06-14

arxiv.org/abs/cond-mat/0206275v2

Physical Review E 66, 061301 (2002)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 16 figures

Scientific paper

10.1103/PhysRevE.66.061301

We discuss a Statistical Mechanics approach in the manner of Edwards to the ``inherent states'' (defined as the stable configurations in the potential energy landscape) of glassy systems and granular materials. We show that at stationarity the inherent states are distributed according a generalized Gibbs measure obtained assuming the validity of the principle of maximum entropy, under suitable constraints. In particular we consider three lattice models (a diluted Spin Glass, a monodisperse hard-sphere system under gravity and a hard-sphere binary mixture under gravity) undergoing a schematic ``tap dynamics'', showing via Monte Carlo calculations that the time average of macroscopic quantities over the tap dynamics and over such a generalized distribution coincide. We also discuss about the general validity of this approach to non thermal systems.

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