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

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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.
Original languageEnglish
Article number012004
Number of pages7
JournalJournal of Physics: Conference Series
Volume2207
DOIs
Publication statusPublished - 29 Mar 2022
EventXXXII IUPAP Conference on Computational Physics - Virtual, Coventry, United Kingdom
Duration: 1 Aug 20215 Aug 2021
Conference number: 32
https://ccp2021.complexity-coventry.org/

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Published under licence by IOP Publishing Ltd

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