The Random-bond Potts model in the large-q limit

Details The Random-bond Potts model in the large-q limit The Random-bond Potts model in the large-q limit

2001-06-12

arxiv.org/abs/cond-mat/0106217v1

Phys. Rev. E64, 056122 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.64.056122

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.

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