{ "id": "cond-mat/0103377", "version": "v1", "published": "2001-03-19T07:34:10.000Z", "updated": "2001-03-19T07:34:10.000Z", "title": "Evidence for softening of first-order transition in 3D by quenched disorder", "authors": [ "Christophe Chatelain", "Bertrand Berche", "Wolfhard Janke", "Pierre Emmanuel Berche" ], "comment": "LaTeX file with Revtex, 4 pages, 4 eps figures", "journal": "Physical Review E - Statistical, Nonlinear, and Soft Matter Phys 64 (2001) 036120", "doi": "10.1103/PhysRevE.64.036120", "categories": [ "cond-mat.stat-mech", "cond-mat.dis-nn" ], "abstract": "We study by extensive Monte Carlo simulations the effect of random bond dilution on the phase transition of the three-dimensional 4-state Potts model which is known to exhibit a strong first-order transition in the pure case. The phase diagram in the dilution-temperature plane is determined from the peaks of the susceptibility for sufficiently large system sizes. In the strongly disordered regime, numerical evidence for softening to a second-order transition induced by randomness is given. Here a large-scale finite-size scaling analysis, made difficult due to strong crossover effects presumably caused by the percolation fixed point, is performed.", "revisions": [ { "version": "v1", "updated": "2001-03-19T07:34:10.000Z" } ], "analyses": { "keywords": [ "quenched disorder", "strong crossover effects", "random bond dilution", "sufficiently large system sizes", "strong first-order transition" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }