A probabilistic approach to the site-percolation problem

J. Güémez and S. Velasco
Authors registered in the RePEc Author Service: Javier G. Gómez-Pineda

Physica A: Statistical Mechanics and its Applications, 1991, vol. 171, issue 3, 504-516

Abstract: A simple method, based on the use of conditional probabilites, to derive the particle cluster distribution is presented for the site-percolation problem on standard lattices. Two approximations to the behaviour of the obtained probability distribution in the thermodynamic limit are considered. The first one corresponds to the case of finite clusters, while the second one allows us to deal with the case of the existence of clusters spanning the lattice, and thus to investigate the onset of the percolating cluster. The extrema (maxima) of the corresponding distribution are analytically and numerically analyzed.

Date: 1991
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/037843719190299R
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

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:eee:phsmap:v:171:y:1991:i:3:p:504-516

DOI: 10.1016/0378-4371(91)90299-R

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().