2001/06/12 by Robert Juhasz, Róbert Juhász, Heiko Rieger +2 · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #NMR spectroscopy and applications #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.64.056122
published as Phys. Rev. E64, 056122 (2001) · 7 pages, 6 figures
arxiv created 2001/06/12 · openalex publication_date 2001/10/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.