On the Fractal dimension and correlations in percolation theory

A. Kapitulnik; Y. Gefen; A. Aharony

doi:10.1007/BF01012940

On the Fractal dimension and correlations in percolation theory

A. Kapitulnik, Y. Gefen, A. Aharony

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We discuss the fractal dimension of the infinite cluster at the percolation threshold. Using sealing theory and renormalization group we present an explicit expression for the two-point correlation function within percolation clusters. The fractal dimension is given by direct integration of this function.

Original language	English
Pages (from-to)	807-814
Number of pages	8
Journal	Journal of Statistical Physics
Volume	36
Issue number	5-6
DOIs	https://doi.org/10.1007/BF01012940
State	Published - 1 Sep 1984
Externally published	Yes

Keywords

Fractals
percolation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF01012940

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title = "On the Fractal dimension and correlations in percolation theory",

abstract = "We discuss the fractal dimension of the infinite cluster at the percolation threshold. Using sealing theory and renormalization group we present an explicit expression for the two-point correlation function within percolation clusters. The fractal dimension is given by direct integration of this function.",

keywords = "Fractals, percolation",

author = "A. Kapitulnik and Y. Gefen and A. Aharony",

year = "1984",

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doi = "10.1007/BF01012940",

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T1 - On the Fractal dimension and correlations in percolation theory

AU - Kapitulnik, A.

AU - Gefen, Y.

AU - Aharony, A.

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Y1 - 1984/9/1

N2 - We discuss the fractal dimension of the infinite cluster at the percolation threshold. Using sealing theory and renormalization group we present an explicit expression for the two-point correlation function within percolation clusters. The fractal dimension is given by direct integration of this function.

AB - We discuss the fractal dimension of the infinite cluster at the percolation threshold. Using sealing theory and renormalization group we present an explicit expression for the two-point correlation function within percolation clusters. The fractal dimension is given by direct integration of this function.

KW - Fractals

KW - percolation

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U2 - 10.1007/BF01012940

DO - 10.1007/BF01012940

M3 - Article

AN - SCOPUS:0010425211

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EP - 814

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5-6

ER -

On the Fractal dimension and correlations in percolation theory

Abstract

Keywords

ASJC Scopus subject areas

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