2008•arXiv (Cornell University)Open access

Finite-Size Scaling for Directed Percolation Models

Santanu Sinha, S. B. Santra

Abstract

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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Key concepts: Scaling, Percolation (cognitive psychology), Percolation theory, Statistical physics, Percolation critical exponents, Continuum percolation theory, Anisotropy, Cluster size