Incipient Spanning Clusters in Square and Cubic Percolation View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2000

AUTHORS

L. N. Shchur

ABSTRACT

The analysis of extensive numerical data for the percolation proba¬bilities of incipient spanning clusters in two dimensional percolation at criticality are presented. We developed an effective code for the single-scan version of the Hoshen-Kopelman algorithm. We measured the probabilities on the square lattice forming samples of rectangular strips with widths from 8 to 256 sites and lengths up to 3200 sites. At total of more than 1015 random numbers are generated for the sampling procedure. Our data confirm the proposed exact formulaes for the prob¬ability exponents conjectured recently on the base of 2D conformal field theory. Some preliminary results for 3D percolation are also discussed. More... »

PAGES

129-146

References to SciGraph publications

Book

TITLE

Computer Simulation Studies in Condensed-Matter Physics XII

ISBN

978-3-642-64086-5
978-3-642-59689-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-59689-6_12

DOI

http://dx.doi.org/10.1007/978-3-642-59689-6_12

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1033968434


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