Random-bond Potts model in the large-q limit.
We study the critical behavior of the q-state Potts model with random ferromagnetic couplings. Working with the cluster representation the partition sum of the model in the large-q limit is dominated by a single graph, the fractal properties of which are related to the critical singularities of the random-Potts model. The optimization problem of finding the dominant graph, is studied on the square lattice by simulated annealing and by a combinatorial algorithm. Critical exponents of the magnetization and the correlation length are estimated and conformal predictions are compared with numerical results.
Juhász
R
R
Institute for Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.
Rieger
H
H
Iglói
F
F