{ "id": "cond-mat/9712198", "version": "v1", "published": "1997-12-17T08:32:45.000Z", "updated": "1997-12-17T08:32:45.000Z", "title": "Nonequilibrium relaxation of the two-dimensional Ising model: Series-expansion and Monte Carlo studies", "authors": [ "Jian-Sheng Wang", "Chee Kwan Gan" ], "comment": "9 pages including 2 figures", "doi": "10.1103/PhysRevE.57.6548", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study the critical relaxation of the two-dimensional Ising model from a fully ordered configuration by series expansion in time t and by Monte Carlo simulation. Both the magnetization (m) and energy series are obtained up to 12-th order. An accurate estimate from series analysis for the dynamical critical exponent z is difficult but compatible with 2.2. We also use Monte Carlo simulation to determine an effective exponent, z_eff(t) = - {1/8} d ln t /d ln m, directly from a ratio of three-spin correlation to m. Extrapolation to t = infinity leads to an estimate z = 2.169 +/- 0.003.", "revisions": [ { "version": "v1", "updated": "1997-12-17T08:32:45.000Z" } ], "analyses": { "keywords": [ "two-dimensional ising model", "monte carlo studies", "nonequilibrium relaxation", "monte carlo simulation", "series-expansion" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }