Lattice model of correlated forces in granular solids near jamming

Jillian Newhall, Jing Cao, Scott T. Milner

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We have devised a lattice model to study force correlations in jamming granular solids in d=2 dimensions. We perform biased Monte Carlo simulations, favoring configurations with more bonds that bear no force, to "starve" the network of bonds and thereby control the distance from the isostatic point J. Increasingly long-ranged correlations are visible as point J is approached, not in the structure of the network of force-bearing bonds but in the spatial extent of perturbations of the force magnitudes consistent with a given starved network. The correlation length so defined diverges as the isostatic point is approached as a power law with an exponent of about ξ∼δZ-5. This divergence is much stronger than for the length scale of "soft modes" observed in jammed systems approaching point J from above.

Original languageEnglish (US)
Article number052203
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number5
DOIs
StatePublished - May 13 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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