{ "id": "cond-mat/0008448", "version": "v1", "published": "2000-08-30T15:10:04.000Z", "updated": "2000-08-30T15:10:04.000Z", "title": "Kinetics of Coalescence, Annihilation, and the q-State Potts Model in One Dimension", "authors": [ "Thomas Masser", "Daniel ben Avraham" ], "comment": "4 pages, RevTeX, submitted to Phys. Lett. A", "journal": "Phys. Lett. A 275, 382-385 (2000)", "doi": "10.1016/S0375-9601(00)00622-8", "categories": [ "cond-mat.stat-mech" ], "abstract": "The kinetics of the q-state Potts model in the zero temperature limit in one dimension is analyzed exactly through a generalization of the method of empty intervals, previously used for the analysis of diffusion-limited coalescence, A+A->A. In this new approach, the q-state Potts model, coalescence, and annihilation (A+A->0) all satisfy the same diffusion equation, and differ only in the imposed initial condition.", "revisions": [ { "version": "v1", "updated": "2000-08-30T15:10:04.000Z" } ], "analyses": { "keywords": [ "q-state potts model", "annihilation", "zero temperature limit", "empty intervals", "diffusion equation" ], "tags": [ "journal article" ], "note": { "typesetting": "RevTeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }