The Random-bond Potts model in the large-q limit
Disordered Systems and Neural Networks
2009-11-07 v1 Statistical Mechanics
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.
Cite
@article{arxiv.cond-mat/0106217,
title = {The Random-bond Potts model in the large-q limit},
author = {Robert Juhasz and Heiko Rieger and Ferenc Igloi},
journal= {arXiv preprint arXiv:cond-mat/0106217},
year = {2009}
}
Comments
7 pages, 6 figures