title: Random-bond Potts model in the large-q limit.
abstract: 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.
authors.affiliation: Institute for Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.
authors.forename: R
authors.initials: R
authors.lastname: Juhász
authors.forename: H
authors.initials: H
authors.lastname: Rieger
authors.forename: F
authors.initials: F
authors.lastname: Iglói