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arxiv: 0807.2300 · v1 · submitted 2008-07-15 · ❄️ cond-mat.soft · cond-mat.dis-nn

Finite-Size Scaling for Directed Percolation Models

classification ❄️ cond-mat.soft cond-mat.dis-nn
keywords modelspercolationscalinganisotropicfinite-sizefunctionproposedsize
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A simple finite-size scaling theory is proposed here for anisotropic percolation models considering the cluster size distribution function as generalized homogeneous function of the system size and two connectivity lengths. The proposed scaling theory has been verified numerically on two different anisotropic percolation models.

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