Work

Self similarity and correlations in percolation

Year: 1983

Type: article

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.

Source: Journal of Physics A Mathematical and General

DOI: 10.1088/0305-4470/16/8/003

Authors: A Kapitulnik, A Aharony, G Deutscher, D Stauffer

Institution: Tel Aviv University

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funder: Israel Academy of Sciences and Humanities

OpenAlex ID: W1984906643

FWCI: 7.439

Cites: 12

Cited by: 164

Related to: 10