Maximum Entropy and the Stress Distribution in Soft Disk Packings Above Jamming
arXiv:1410.4631 · doi:10.1103/PhysRevE.92.022207
Abstract
We show that the maximum entropy hypothesis can successfully explain the distribution of stresses on compact clusters of particles within disordered mechanically stable packings of soft, isotropically stressed, frictionless disks above the jamming transition. We show that, in our two dimensional case, it becomes necessary to consider not only the stress but also the Maxwell-Cremona force-tile area, as a constraining variable that determines the stress distribution. The importance of the force-tile area had been suggested by earlier computations on an idealized force-network ensemble.
21 pages, 26 figures; Greatly expanded from previous version, with new analyses and comparisons
References in corpus (6)
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Cited by in corpus (7)
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- Protocol-Dependence and State Variables in the Force-Moment Ensemble
- Edwards field theory for glasses and granular matter
- Universal non-Debye low-frequency vibrations in sheared amorphous solids
- Defining Temperatures of Granular Powders Analogously with Thermodynamics to Understand the Jamming Phenomena
- Betweenness Centrality as Predictor for Forces in Granular Packings