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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2002, Volume 76, Issue 7, Pages 553–558 (Mi jetpl2952)  
This article is cited in 13 scientific papers (total in 13 papers)

MISCELLANEOUS

On the Aizenman exponent in critical percolation

L. N. Shchur, T. Rostunov

Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (256 kB) Citations (13)
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Abstract: The probabilities that clusters span a hypercube of dimensions two to seven along one axis of a percolation system under criticality were investigated numerically. We used a modified Hoshen-Kopelman algorithm combined with Grassberger's «go with the winner» strategy for the site percolation. We performed a finite-size analysis of the data and found that the probabilities confirm Aizenman's proposal for the multiplicity exponent for dimensions three to five. A crossover to the mean-field behavior around the upper critical dimension is also discussed.
Received: 05.09.2002
English version:
Journal of Experimental and Theoretical Physics Letters, 2002, Volume 76, Issue 7, Pages 475–480
DOI: https://doi.org/10.1134/1.1528706
Bibliographic databases:
Document Type: Article
PACS: 02.70.-c, 05.50.+q, 64.60.Ak, 75.10.-b
Language: English
Citation: L. N. Shchur, T. Rostunov, “On the Aizenman exponent in critical percolation”, Pis'ma v Zh. Èksper. Teoret. Fiz., 76:7 (2002), 553–558; JETP Letters, 76:7 (2002), 475–480
Citation in format AMSBIB
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\by L.~N.~Shchur, T.~Rostunov
\paper On the Aizenman exponent in critical percolation
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2002
\vol 76
\issue 7
\pages 553--558
\mathnet{http://mi.mathnet.ru/jetpl2952}
\transl
\jour JETP Letters
\yr 2002
\vol 76
\issue 7
\pages 475--480
\crossref{https://doi.org/10.1134/1.1528706}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0040669530}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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