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Cited by 163

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Self similarity and correlations in percolation

Open access
Kapitulnik, A, Aharony, A, Deutscher, G, Stauffer, D·1983·Journal of Physics A: Mathematical and General

Abstract

The infinite cluster above the percolation threshold is shown by a scaling theory and Monte Carlo simulations to be homogeneous on large length scales (compared with the correlation length). On shorter length scales this cluster is self similar, and its measured fractal dimensionality agrees excellently with the scaling law D=d- beta / nu . The exponents beta and nu are also measured, both from the crossover between the two length scale regions and from correlations near the boundaries.

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Crossref · 10.1088/0305-4470/16/8/003

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Metadata

Authors
Kapitulnik, A., Aharony, A., Deutscher, G., & Stauffer, D.
Venue
Journal of Physics A: Mathematical and General
Published
1983-06-01
Volume
16
Issue
8
Pages
L269-L274
ISSN
  • 0305-4470 (ISSN-L)
  • 1361-6447
OpenAlex
W1984906643
Cited by
163
References
1
FWCI
8.08
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Self similarity and correlations in percolation. https://app.cochat.ai/papers/10.1088/0305-4470/16/8/003
The paper
Kapitulnik, A., Aharony, A., Deutscher, G., & Stauffer, D. (1983). Self similarity and correlations in percolation. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/16/8/003

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.