- Conference date: 8–12 July 2013
- Location: Sydney, Australia
This paper first reviews a recent report, showing that the volume and stress ensembles, often used separately in the statistical mechanics of stable granular systems, are interdependent and must both be used to compute expectation values. A reformulation of the combined partition function in 2D allows us to calculate exactly a number of structural and stressrelated expectation values. It is shown that structural measureables may depend on the angoricity and stress-based quantities on the compactivity, demonstrating that the compactivity and angoricity are not conjugate variables of volume and force moment, as commonly believed. We review a derivation of an equipartition principle, which makes it possible to determine the compactivity experimentally. We conclude by deriving an equation of state.
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