Comment on: "Superscaling of Percolation on Rectangular Domains"

Abstract

In [Watanabe et al., Phys. Rev. Lett. 93 190601 (2004)], the authors show numerically that spanning and percolation probabilities in two-dimensional systems with different aspect ratios obey a form of "superscaling". In this comment, we would like to point out some difficulties with their proposed scaling ansatz and suggest why this remained undetected in their numerical analysis.

1 page + references, 1 figure

References in corpus (2)

• Critical Percolation in Finite Geometries
• Asynchronously parallelised percolation on distributed machines

Cited by in corpus (5)

• Phase diagram and universality of the Lennard-Jones gas-liquid system
• Boundary conditions and amplitude ratios for finite-size corrections of a one-dimensional quantum spin model
• Crossing probability and number of crossing clusters in off-critical percolation
• Watanabe and Hu Reply
• Mapping functions and critical behavior of percolation on rectangular domains