Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki
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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 79, Issue 5, Pages 267–271 (Mi jetpl2242)  
This article is cited in 8 scientific papers (total in 8 papers)

CONDENSED MATTER

Numerical investigation of logarithmic corrections in two-dimensional spin models

B. Berchea, L. N. Shchurba

a Laboratoire de Physique des Matériaux, UMR CNRS 7556, Université Henri Poincaré, F-54506 Vandœuvre les Nancy Cedex, France
b Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Moscow reg., Russia
Full-text PDF (370 kB) Citations (8)
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Abstract: The analysis of correlation function data obtained by Monte Carlo simulations of the two-dimensional 4-state Potts model, XY model, and self-dual disordered Ising model at criticality are presented. We study the logarithmic corrections to the algebraic decay exhibited in these models. A conformal mapping is used to relate the finite-geometry information to that of the infinite plane. Extraction of the leading singularity is altered by the expected logarithmic corrections, and we show numerically that both leading and correction terms are mutually consistent.
Received: 20.01.2004
English version:
Journal of Experimental and Theoretical Physics Letters, 2004, Volume 79, Issue 5, Pages 213–217
DOI: https://doi.org/10.1134/1.1753418
Bibliographic databases:
Document Type: Article
PACS: 05.50.+q, 75.10.-b
Language: English
Citation: B. Berche, L. N. Shchur, “Numerical investigation of logarithmic corrections in two-dimensional spin models”, Pis'ma v Zh. Èksper. Teoret. Fiz., 79:5 (2004), 267–271; JETP Letters, 79:5 (2004), 213–217
Citation in format AMSBIB
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\by B.~Berche, L.~N.~Shchur
\paper Numerical investigation of logarithmic corrections in two-dimensional spin models
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2004
\vol 79
\issue 5
\pages 267--271
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\transl
\jour JETP Letters
\yr 2004
\vol 79
\issue 5
\pages 213--217
\crossref{https://doi.org/10.1134/1.1753418}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-20444507148}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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