Probability Distribution and Sizes of Spanning Clusters at the Percolation Thresholds

Parongama Sen ()
Additional contact information
Parongama Sen: Institute for Theoretical Physics, University of Cologne, 50923 Köln, Germany

International Journal of Modern Physics C (IJMPC), 1997, vol. 08, issue 02, 229-237

Abstract: For random percolation atpc, the probability distributionP (n)of the number of spanning clusters(n)has been studied in large-scale simulations. The results are compatible withP(n) ~exp(-an2)for all dimensions. We also study the variation of the average size (mass) of the spanning clusters when there are more than one spanning cluster. While the average size of the spanning clusters scales as usual withLDwhereD=d-β/νfor any number of clusters, it shows a smooth decrease as the number of spanning clusters increases.

Keywords: Aizenman Theory; Coexistence of Spanning Clusters; Asymptotic Decay (search for similar items in EconPapers)
Date: 1997
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183197000205
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:08:y:1997:i:02:n:s0129183197000205

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183197000205

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().