Finite-Size Scaling for Directed Percolation Models
Santanu Sinha, S. B. Santra
TL;DR
This paper introduces a finite-size scaling theory for anisotropic directed percolation models, using cluster size distribution and connectivity lengths, and verifies it through numerical simulations.
Contribution
It presents a new finite-size scaling framework for anisotropic percolation models based on cluster size distribution and connectivity lengths.
Findings
Scaling theory verified numerically on two models
Cluster size distribution as a homogeneous function
Connectivity lengths are key to anisotropic scaling
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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Taxonomy
TopicsComplex Network Analysis Techniques · Theoretical and Computational Physics · Stochastic processes and statistical mechanics