{ "id": "cond-mat/0009024", "version": "v2", "published": "2000-09-02T12:30:01.000Z", "updated": "2001-12-05T09:56:16.000Z", "title": "Exact Ampitude Ratio and Finite-Size Corrections for the M x N Square Lattice Ising Model The :", "authors": [ "N. Sh. Izmailian", "Chin-Kun Hu" ], "comment": "18 pages, 4 figures, to be published in Phys. Rev. E 65, 1 February 2002", "journal": "Phys. Rev. E65, 036103 (2002).", "doi": "10.1103/PhysRevE.65.036103", "categories": [ "cond-mat.stat-mech" ], "abstract": "Let f, U and C represent, respectively, the free energy, the internal energy and the specific heat of the critical Ising model on the square M x N lattice with periodic boundary conditions. We find that N f and U are well-defined odd function of 1/N. We also find that ratios of subdominant (N^(-2 i - 1)) finite-size corrections amplitudes for the internal energy and the specific heat are constant. The free energy and the internal energy at the critical point are calculated asymtotically up to N^(-5) order, and the specific heat up to N^(-3) order.", "revisions": [ { "version": "v2", "updated": "2001-12-05T09:56:16.000Z" } ], "analyses": { "keywords": [ "square lattice ising model", "exact ampitude ratio", "finite-size corrections", "internal energy", "specific heat" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }