Finite-size effects in the interface of the 3D Ising model

1992/12/11 by M. Caselle, M Caselle, F. Gliozzi +3 · 3 citations
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat #hep-lat #hep-th

paper · pdf · doi:10.1016/0370-2693(93)90638-x

published as Phys.Lett. B302 (1993) 74-79 · 13 pages, plain latex, two figures not included, sorry DFTT 68/92

arxiv created 1992/12/11 · openalex publication_date 1993/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that these finite-size corrections depend rather strongly on the shape of the lattice. This prediction, which has no adjustable parameters, is tested and accurately verified for various lattice shapes by means of numerical simulations with a cluster algorithm. This supports also a long-standing conjecture on the finite-size effects in Wilson loops of Lattice Gauge Theories.

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• Interaction effects in the spectrum of the three-dimensional Ising model
• String effects in the Wilson loop: a high precision numerical test
• The functional form of open Wilson lines in gauge theories coupled to matter