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

Michail Akritidis; Nikolaos Fytas; Martin Weigel

doi:10.1088/1742-6596/2207/1/012004

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

Michail Akritidis, Nikolaos Fytas, Martin Weigel

College of Engineering, Environment & Science

Research output: Contribution to journal › Conference article › peer-review

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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 language	English
Article number	012004
Number of pages	7
Journal	Journal of Physics: Conference Series
Volume	2207
DOIs	https://doi.org/10.1088/1742-6596/2207/1/012004
Publication status	Published - 29 Mar 2022
Event	XXXII IUPAP Conference on Computational Physics - Virtual, Coventry, United Kingdom Duration: 1 Aug 2021 → 5 Aug 2021 Conference number: 32 https://ccp2021.complexity-coventry.org/

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title = "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.",

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AU - Akritidis, Michail

AU - Fytas, Nikolaos

AU - Weigel, Martin

N1 - Conference code: 32

PY - 2022/3/29

Y1 - 2022/3/29

N2 - 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.

AB - 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.

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U2 - 10.1088/1742-6596/2207/1/012004

DO - 10.1088/1742-6596/2207/1/012004

M3 - Conference article

SN - 1742-6588

VL - 2207

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

M1 - 012004

T2 - XXXII IUPAP Conference on Computational Physics

Y2 - 1 August 2021 through 5 August 2021

ER -

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

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