{ "id": "cond-mat/0210548", "version": "v2", "published": "2002-10-24T12:27:08.000Z", "updated": "2003-03-12T14:38:45.000Z", "title": "Corner transfer matrix renormalization group method for two-dimensional self-avoiding walks and other O(n) models", "authors": [ "D. P. Foster", "C. Pinettes" ], "comment": "4 pages 7 figures Substantial rewrite of previous version to include calculations of critical points and exponents. Final version accepted for publication in PRE (Rapid Communications)", "doi": "10.1103/PhysRevE.67.045105", "categories": [ "cond-mat.stat-mech" ], "abstract": "We present an extension of the corner transfer matrix renormalisation group (CTMRG) method to O(n) invariant models, with particular interest in the self-avoiding walk class of models (O(n=0)). The method is illustrated using an interacting self-avoiding walk model. Based on the efficiency and versatility when compared to other available numerical methods, we present CTMRG as the method of choice for two-dimensional self-avoiding walk problems.", "revisions": [ { "version": "v2", "updated": "2003-03-12T14:38:45.000Z" } ], "analyses": { "keywords": [ "transfer matrix renormalization group method", "corner transfer matrix renormalization group", "two-dimensional self-avoiding walk", "transfer matrix renormalisation group" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }