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Incipient spanning cluster on small-world networks
Umeå University, Faculty of Science and Technology, Department of Physics.
2001 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 55, no 6, p. 762-766Article in journal (Refereed) Published
Abstract [en]

We analyze the scaling properties of the largest cluster size for the site percolation problem on small-world graphs. It is shown how the presence of the extra length-scale, the small-world crossover length xi, influences the fractal dimension D of the spanning cluster. Using the results for dimension d = 2 we nd the critical exponent governing the cluster size distribution tau similar or equal to5/2. This implies that is universal and independent of d in agreement with the conjecture by Moore and Newman.

Place, publisher, year, edition, pages
2001. Vol. 55, no 6, p. 762-766
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:umu:diva-91462DOI: 10.1209/epl/i2001-00346-7ISI: 000171086500002OAI: oai:DiVA.org:umu-91462DiVA, id: diva2:736438
Available from: 2014-08-06 Created: 2014-08-05 Last updated: 2018-03-15Bibliographically approved

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CiteExportLink to record
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