Critical behavior of the two-dimensional sticks system

I. Balberg*, N. Binenbaum, C. H. Anderson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

110 Scopus citations

Abstract

Percolation critical exponents are derived, for the first time, for a two-dimensional system of randomly distributed conducting sticks, which provides a very convenient model for the study of continuum percolation. In the present computer study it was found that the corresponding conductivity exponent, t, has the value of 1.24±0.03 and that the cluster exponents β, γ, and τ have the values 0.14±0.02, 2.3±0.2, and 2.0±0.1, respectively. These results, which are in excellent agreement with values derived for lattices, show that the conductivities of continuum systems and of lattice systems belong to the same universality class.

Original languageEnglish
Pages (from-to)1605-1608
Number of pages4
JournalPhysical Review Letters
Volume51
Issue number18
DOIs
StatePublished - 1983

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