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Failure of the Volume Function in Granular Statistical Mechanics and an Alternative Formulation

Failure of the Volume Function in Granular Statistical Mechanics and an Alternative Formulation

We first show that the currently accepted statistical mechanics for granular matter is flawed. The reason is that it is based on the volume function, which depends only on a minute fraction of all the structural degrees of freedom and is unaffected by most of the configurational microstates. Consequently, the …