Dynamics of correlated forces in lattice model of granular solids near jamming

Jing Cao, Scott T. Milner

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)96-108
Number of pages13
JournalSoft Matter
Volume10
Issue number1
DOIs
StatePublished - Jan 7 2014

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Condensed Matter Physics

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