The critical equation of state of the two-dimensional Ising model

We compute the 2n-point coupling constants in the high-temperature phase of the two-dimensional Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormal...

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Bibliographic Details
Main Authors: Caselle, M. (Author) , Hasenbusch, Martin (Author) , Pelissetto, Andrea (Author) , Vicari, Ettore (Author)
Format: Article (Journal)
Language:English
Published: 2001
In: Journal of physics. A, Mathematical and general
Year: 2001, Volume: 34, Issue: 14, Pages: 2923-2948
ISSN:1361-6447
DOI:10.1088/0305-4470/34/14/302
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/34/14/302
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Author Notes:Michele Caselle, Martin Hasenbusch, Andrea Pelissetto and Ettore Vicari
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Summary:We compute the 2n-point coupling constants in the high-temperature phase of the two-dimensional Ising model by using transfer-matrix techniques. This provides the first few terms of the expansion of the effective potential (Helmholtz free energy) and of the equation of state in terms of the renormalized magnetization. By means of a suitable parametric representation, we determine an analytic extension of these expansions, providing the equation of state in the whole critical region in the t,h plane.
Item Description:Gesehen am 08.07.2022
Physical Description:Online Resource
ISSN:1361-6447
DOI:10.1088/0305-4470/34/14/302