A statistical mechanics approach to the inherent states of granular media

We consider a Statistical Mechanics approach to granular systems by following the original ideas developed by Edwards. We use the concept of “inherent states”, defined as the stable configurations in the potential energy landscape, introduced in the context of glasses. Under simplifying assumptions, the equilibrium inherent states can be characterized by a configurational temperature, 1/β. We link β to Edwards’ compactivity and address the problem of its experimental measure. We also discuss the possibility to describe the time dependent distribution probability in the inherent states with an appropriate master equation.