{ "id": "cond-mat/0609518", "version": "v2", "published": "2006-09-20T14:28:06.000Z", "updated": "2006-11-23T17:54:54.000Z", "title": "Solution of a model of self-avoiding walks with multiple monomers per site on the Bethe lattice", "authors": [ "Pablo Serra", "Juergen F. Stilck" ], "comment": "8 pages, 5 figures. Typos corrected, discussion extended, one reference added, style of graphs changed. Version accepted for publication in Phys. Rev. E", "journal": "Phys. Rev. E 75, 011130 (2007)", "doi": "10.1103/PhysRevE.75.011130", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We solve a model of self-avoiding walks with up to two monomers per site on the Bethe lattice. This model, inspired on the Domb-Joyce model, was recently proposed to describe the collapse transition observed in interacting polymers [J. Krawczyk et al, Phys. Rev. Lett. 96, 240603 (2006)]. When immediate self-reversals are allowed (RA model), the solution displays a phase diagram with a polymerized phase and a non-polymerized phase, separated by a phase transition which is of first order for a non-vanishing statistical weight of doubly occupied sites. If the configurations are restricted forbidding immediate self-reversals (RF model), a richer phase diagram is found, displaying a tricritical point and a critical endpoint.", "revisions": [ { "version": "v2", "updated": "2006-11-23T17:54:54.000Z" } ], "analyses": { "keywords": [ "bethe lattice", "self-avoiding walks", "multiple monomers", "immediate self-reversals", "richer phase diagram" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }