Analytic derivation of percolation thresholds in anisotropic systems of permeable objects

A. Drory*, I. Balberg, U. Alon, B. Berkowitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

We present a systematic derivation of the percolation thresholds in anisotropic systems composed of permeable elongated boxes. The analytic calculation is based on an order-by-order diagrammatic expansion of the pair-connectedness function. A comparison of the results with those of Monte Carlo simulations shows excellent quantitative agreement. We conclude that, of the analytic methods suggested thus far, the present approach is the most suitable one for quantitative derivation of system properties in continuum percolation.

Original languageEnglish
Pages (from-to)6604-6612
Number of pages9
JournalPhysical Review A
Volume43
Issue number12
DOIs
StatePublished - 1991

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