Elegance of disordered granular packings: a validation of Edwards' hypothesis
arXiv:cond-mat/0503416 · doi:10.1103/PhysRevLett.94.148001
Abstract
We have found a way to analyze Edwards' density of states for static granular packings in the special case of round, rigid, frictionless grains assuming constant coordination number. It obtains the most entropic density of single grain states, which predicts several observables including the distribution of contact forces. We compare these results against empirical data obtained in dynamic simulations of granular packings. The agreement is quite good, helping validate the use of statistical mechanics methods in granular physics. The differences between theory and empirics are mainly related to the coordination number, and when the empirical data are sorted by that number we obtain several insights that suggest an underlying elegance in the density of states.
4 pages, 5 figures, Changes in the references
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Cited by in corpus (12)
- A deductive statistical mechanics approach for granular matter
- A statistical mechanics framework for static granular matter
- Entropy and Temperature of a Static Granular Assembly
- The Statistical Physics of Athermal Materials
- An invariant distribution in static granular media
- Force distributions in a triangular lattice of rigid bars
- Mechanism for the failure of the Edwards hypothesis in the SK spin glass
- Force balance in canonical ensembles of static granular packings
- H theorem for contact forces in granular materials
- Edwards thermodynamics for a driven athermal system with dry friction
- Generalized Edwards thermodynamics and marginal stability in a driven system with dry and viscous friction
- Statistical physics of frictional grains: some simple applications of Edwards statistics