It is shown that, by taking the zero-temperature limit of the annealed dilute bond Ising model, approximate expressions for quantities of interest in the percolation problem can be obtained. These are compared with computer simulations for a square lattice and shown to be reasonable over the entire concentration range whilst giving incorrect critical exponents.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics