Force-balance percolation

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20 Citations (Scopus)

Abstract

We study models of correlated percolation where there are constraints on the occupation of sites that mimic force balance, i.e., for a site to be stable requires occupied neighboring sites in all four compass directions in two dimensions. We prove rigorously that pc <1 for the two-dimensional models studied. Numerical data indicate that the force-balance percolation transition is discontinuous with a growing crossover length, with perhaps the same form as the jamming percolation models, suggesting that all models belong to the same universality class with the same underlying mechanism driving the transition in both cases. We find a lower bound for the correlation length in the connected phase and that the correlation function does not appear to be a power law at the transition. Finally, we study the dynamics of the culling procedure invoked to obtain the force-balance configurations and find a dynamical exponent similar to that found in sandpile models.

Original languageEnglish (US)
Article number011134
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume81
Issue number1
DOIs
StatePublished - Jan 27 2010

Fingerprint

Sandpile Model
jamming
Jamming
Correlation Length
two dimensional models
Model
occupation
Universality
Crossover
Correlation Function
crossovers
Two Dimensions
Power Law
Exponent
exponents
Lower bound
Configuration
configurations
Form
Class

ASJC Scopus subject areas

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

Cite this

Force-balance percolation. / Jeng, M.; Schwarz, Jennifer M.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 81, No. 1, 011134, 27.01.2010.

Research output: Contribution to journalArticle

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