Arch-based configurations in the volume ensemble of static granular systems
arXiv:1411.7624 · doi:10.1088/1742-5468/2015/02/P02005
Abstract
We propose an alternative approach to count the microscopic static configurations of granular packs under gravity by considering arches. This strategy simplifies the problem of filtering out configurations that are not mechanically stable, opening the way for a range of granular models to be studied via ensemble theory. Following this arch-based approach, we have obtained the exact density of states for a two-dimensional non-interacting rigid arch model of granular assemblies. The calculated arch size distribution and volume fluctuations show qualitative agreement with realistic simulations of tapped granular beds. We have also validated our calculations by comparing with the analytic solution for the limiting case of a quasi-one-dimensional column of frictionless disks.
References in corpus (17)
- Magnetic Monopoles in Spin Ice
- Entropy and Temperature of a Static Granular Assembly
- Numerical calculation of granular entropy
- Entropy maximization in the force network ensemble for granular solids
- Void statistics and compactivity measurement in an experimental granular pile
- Random very loose packs
- Identification of arches in 2D granular packings
- Towards a relevant set of state variables to describe static granular packings
- Experimental Demonstration of Nonuniform Frequency Distributions of Granular Packings
- Structure of finite sphere packings via exact enumeration: Implications for colloidal crystal nucleation
- The Complete Jamming Landscape of Confined Hard Discs
- Edwards entropy and compactivity in a model of granular matter
- Inter-dependence of the volume and stress ensembles and equipartition in statistical mechanics of granular systems
- Nonmonotonic reversible branch in four model granular beds subjected to vertical vibration
- Arches and contact forces in a granular pile
- Master curves for the stress tensor invariants in stationary states of static granular beds. Implications for the thermodynamic phase space
- Exact predictions from Edwards ensemble vs. realistic simulations of tapped narrow two-dimensional granular columns