Abstract
We investigate the dynamics of a simple lattice model of granular solids near jamming, using a Monte Carlo simulation that samples the ensemble of force networks consistent with a given average stress and distance from the isostatic point J. The Hamiltonian is simply the number of nearest-neighbor pairs that bear no force ("zero bonds"); as the simulation " temperature" decreases, the system is depleted of force-bearing contacts. We find that as point J approaches, various measures of the dynamics become extremely slow, with power-law divergences of characteristic times. We also observe dynamic heterogeneity, with a growing length scale defined by the spatial correlations of the persistence function for zero bonds. The model appears to approach point J at a finite temperature, at which various timescales diverge without an obvious corresponding divergence in the correlation length of some static order parameter, suggesting that this lattice model exhibits a hallmark of a dynamical glass transition. This journal is
Original language | English (US) |
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Pages (from-to) | 96-108 |
Number of pages | 13 |
Journal | Soft matter |
Volume | 10 |
Issue number | 1 |
DOIs | |
State | Published - Jan 7 2014 |
All Science Journal Classification (ASJC) codes
- General Chemistry
- Condensed Matter Physics