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 language||English (US)|
|Number of pages||12|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - Sep 2 1986|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics