Random Site Percolation in Three Dimensions

Naeem Jan () and Dietrich Stauffer ()
Additional contact information
Naeem Jan: Physics Department, St. Francis Xavier University, Box 5000, Antigonish, Nova Scotia, CANADA B2G 2W5, Canada
Dietrich Stauffer: Institute for Theoretical Physics, Cologne University, 50923 Köln, Germany

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 02, 341-347

Abstract: We simulate sytems up to 10 001 × 10 001 × 10 001 in three dimensions at the percolation thresholdpcof 0.31160. We find that the fractal dimension is≃2.53±0.02, the cluster size distribution exponent, τ, is 2.186±0.002 and an exponent of 0.85 describing how the mass of the clusters scale with rank. Corrections-to-scaling exponents of≃-0.7are observed fornsand for the mass of the largest cluster. We also check the percolation threshold and report good agreement with recent values.

Keywords: Random Site; Percolation; Critical Exponents; Monte Carlo Simulations; Three Dimensions; Rank (search for similar items in EconPapers)
Date: 1998
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183198000261
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:09:y:1998:i:02:n:s0129183198000261

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183198000261

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 ().