EPL is available also on-line on www.epljournal.org
Advanced Search
Subscriber Authentication Point
Home All issues Volume 55/ 6 Article
Issue Europhys. Lett.
Volume 55, Number 6, September 2001
Page(s) 762 - 766
Section General
DOI http://dx.doi.org/10.1209/epl/i2001-00346-7

DOI: 10.1209/epl/i2001-00346-7


Europhys. Lett., 55 (6) , pp. 762-766 (2001)

Incipient spanning cluster on small-world networks

M. Ozana

Department of Theoretical Physics, Umeå University - 901 87 Umeå, Sweden

ozana@tp.umu.se

(Received 23 April 2001; accepted in final form 4 July 2001)

Abstract
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 find the critical exponent $\tau$ governing the cluster size distribution $\tau \simeq 5/2$. This implies that $\tau$ is universal and independent of d in agreement with the conjecture by Moore and Newman ( Phys. Rev. E , 62 (2000) 7059).

PACS
05.10.-a - Computational methods in statistical physics and nonlinear dynamics.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
64.60.Ak - Renormalization-group, fractal, and percolation studies of phase transitions.


© EDP Sciences 2001

What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.