Structural and dynamical properties of long-range correlated percolation

Sona Prakash; Shlomo Havlin; Moshe Schwartz; H. Eugene Stanley

doi:10.1103/PhysRevA.46.R1724

Rapid Communication

Structural and dynamical properties of long-range correlated percolation

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

Phys. Rev. A 46, R1724(R) – Published 1 August 1992

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.

Received 21 January 1992

DOI:https://doi.org/10.1103/PhysRevA.46.R1724

Authors & Affiliations

Sona Prakash

Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215

Shlomo Havlin

Center for Polymer Studies and Department of Physics, Boston University, Boston Massachusetts 02215
Department of Physics, Bar-Ilan University, Ramat-Gan, Israel

Moshe Schwartz