Structural and dynamical properties of long-range correlated percolation

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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.

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