Percolation in strongly correlated systems

Joel L. Lebowitz and H. Saleur

Physica A: Statistical Mechanics and its Applications, 1986, vol. 138, issue 1, 194-205

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.

Date: 1986
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:138:y:1986:i:1:p:194-205

DOI: 10.1016/0378-4371(86)90180-9

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