{ "id": "cond-mat/0005444", "version": "v1", "published": "2000-05-25T15:59:16.000Z", "updated": "2000-05-25T15:59:16.000Z", "title": "Comment on ``Scaling Laws for a System with Long-Range Interactions within Tsallis Statistics''", "authors": [ "Benjamin P. Vollmayr-Lee", "Erik Luijten" ], "comment": "Accepted for publication in Phys. Rev. Lett", "journal": "Phys. Rev. Lett. 85, 470 (2000)", "doi": "10.1103/PhysRevLett.85.470", "categories": [ "cond-mat.stat-mech" ], "abstract": "In their recent Letter [Phys. Rev. Lett. 83, 4233 (1999)], Salazar and Toral (ST) study numerically a finite Ising chain with non-integrable interactions decaying like 1/r^(d+sigma) where -d <= sigma <= 0 (like ST, we discuss general dimensionality d). In particular, they explore a presumed connection between non-integrable interactions and Tsallis's non-extensive statistics. We point out that (i) non-integrable interactions provide no more motivation for Tsallis statistics than do integrable interactions, i.e., Gibbs statistics remain meaningful for the non-integrable case, and in fact provide a {\\em complete and exact treatment}; and (ii) there are undesirable features of the method ST use to regulate the non-integrable interactions.", "revisions": [ { "version": "v1", "updated": "2000-05-25T15:59:16.000Z" } ], "analyses": { "keywords": [ "tsallis statistics", "long-range interactions", "non-integrable interactions", "scaling laws", "general dimensionality" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }