Structural and dynamical properties of long-range correlated percolation

  • Sona Prakash
  • , Shlomo Havlin
  • , Moshe Schwartz
  • , H. Eugene Stanley

Research output: Contribution to journalArticlepeer-review

173 Scopus citations

Abstract

We develop an algorithm for generating long-range correlations in the percolation problem and investigate their effect on both structural and dynamical properties of the incipient infinite cluster in two dimensions. We find that the fractal dimensions of the backbone and the red bonds (singly connected bonds) are quite different from uncorrelated percolation and vary with λ, the strength of the correlation. Also, we find that the conductivity exponent varies with λ.

Original languageEnglish
Pages (from-to)R1724-R1727
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume46
Issue number4
DOIs
StatePublished - 1992

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