Nonmonotonical behavior in correlated site-bond percolation

A. J. Ramirez-Cuesta, R. J. Faccio, J. L. Riccardo

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

Site-bond percolation is addressed in a very general class of correlated site-bond systems. The site-bond model analyzed provides a simple natural picture of disordered media such as porous materials, nonuniform surfaces adsorption potential, conductivity of inhomogeneous systems, and landscapes. The bond (site) percolation threshold exhibits a nonmonotonical behavior, showing maxima and minima as statistical correlation of two-point lattice properties varies from zero to one. Phase diagrams for the general case of correlated site-bond percolation are obtained by Monte Carlo simulation. The continuum percolation limit is recovered for percolation at maximum correlation.

Original languageEnglish
Pages (from-to)735-738
Number of pages4
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume57
Issue number1
DOIs
StatePublished - 1998
Externally publishedYes

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