Corrections to scaling in geometrical clusters of the 2D Ising model

Abstract

We study the scaling of the average cluster size and percolation strength of geometrical clusters for the two-dimensional Ising model. By means of Monte Carlo simulations and a finite-size scaling analysis we discuss the appearance of corrections to scaling for different definitions of cluster sets. We find that including all percolating clusters, or excluding only clusters that percolate in one but not the other direction, leads to smaller corrections to scaling for the average cluster size as compared to the other definitions considered. The percolation strength is less sensitive to the definitions used.

arXiv comment6 pages, 2 figures, 2 tables, XXXII IUPAP Conference on Computational Physics

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Cited by in corpus (3)

• Cluster Percolation in the Two-Dimensional Ising Spin Glass
• Geometric clusters in the overlap of the Ising model
• Frustrated Ising model on the honeycomb lattice: Metastability and universality