Correlated percolation and the correlated resistor network
arXiv:cond-mat/9610088 · doi:10.1088/0305-4470/30/6/007
Abstract
We present some exact results on percolation properties of the Ising model, when the range of the percolating bonds is larger than nearest-neighbors. We show that for a percolation range to next-nearest neighbors the percolation threshold Tp is still equal to the Ising critical temperature Tc, and present the phase diagram for this type of percolation. In addition, we present Monte Carlo calculations of the finite size behavior of the correlated resistor network defined on the Ising model. The thermal exponent t of the conductivity that follows from it is found to be t = 0.2000 +- 0.0007. We observe no corrections to scaling in its finite size behavior.
16 pages, REVTeX, 6 figures included
Cited by in corpus (5)
- Study of Percolative Transitions with First-Order Characteristics in the Context of CMR Manganites
- Universality of liquid-gas Mott transitions at finite temperatures
- Conductivity of electronic liquid-crystalline mesophases
- Rapid algorithm for identifying backbones in the two-dimensional percolation model
- Percolation of finite-sized objects on a lattice