Percolation in strongly correlated systems

Joel L. Lebowitz, H. Saleur

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

We investigate the threshold percolation density, pc, in strongly correlated lattice systems. The probability distribution of the system is the stationary state for a combined Kawasaki and Glauber dynamics; the voter model with flips. When the Glauber rate goes to zero, the pair correlation function of the system, at any density, decays in three dimensions as r-1 (and does not decay at all in two dimensions). Using Monte Carlo calculations and finite size scaling we obtain information about pc as a function of the Glauber rate. Percolation in Gaussian fields on a lattice which have similar slow decay is also discussed.

Original languageEnglish (US)
Pages (from-to)194-205
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume138
Issue number1-2
DOIs
StatePublished - Sep 2 1986

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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