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ЖУРНАЛЫ // Письма в Журнал экспериментальной и теоретической физики // Архив

Письма в ЖЭТФ, 2002, том 76, выпуск 7, страницы 553–558 (Mi jetpl2952)

Эта публикация цитируется в 13 статьях

РАЗНОЕ

On the Aizenman exponent in critical percolation

L. N. Shchur, T. Rostunov

Landau Institute for Theoretical Physics, Russian Academy of Sciences

Аннотация: 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.

PACS: 02.70.-c, 05.50.+q, 64.60.Ak, 75.10.-b

Поступила в редакцию: 05.09.2002

Язык публикации: английский


 Англоязычная версия: Journal of Experimental and Theoretical Physics Letters, 2002, 76:7, 475–480

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