Exact Finite-Size-Scaling Corrections to the Critical Two-Dimensional Ising Model on a Torus

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dc.creatorSalas, J.
dc.date2000-09-05
dc.date2001-02-13
dc.date.accessioned2026-07-07T10:51:36Z
dc.date.available2026-07-07T10:51:36Z
dc.descriptionWe analyze the finite-size corrections to the energy and specific heat of the critical two-dimensional spin-1/2 Ising model on a torus. We extend the analysis of Ferdinand and Fisher to compute the correction of order L^{-3} to the energy and the corrections of order L^{-2} and L^{-3} to the specific heat. We also obtain general results on the form of the finite-size corrections to these quantities: only integer powers of L^{-1} occur, unmodified by logarithms (except of course for the leading $\log L$ term in the specific heat); and the energy expansion contains only odd powers of L^{-1}. In the specific-heat expansion any power of L^{-1} can appear, but the coefficients of the odd powers are proportional to the corresponding coefficients of the energy expansion.
dc.description26 pages (LaTeX). Self-unpacking file containing the tex file and three macros (indent.sty, eqsection.sty, subeqnarray.sty). Added discussions on the results and new references. Version to be published in J. Phys. A
dc.identifierhttps://arxiv.org/abs/cond-mat/0009054
dc.identifierhttp://arxiv.org/abs/cond-mat/0009054
dc.identifierJ.Phys.A34:1311-1331,2001
dc.identifierdoi:10.1088/0305-4470/34/7/307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184877
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleExact Finite-Size-Scaling Corrections to the Critical Two-Dimensional Ising Model on a Torus
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