Corrections to scaling in the 3D Ising model: A comparison between MC and MCRG results

J. Kaupužs and R. V. N. Melnik ()
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J. Kaupužs: Laboratory of Semiconductor Physics, Institute of Technical Physics, Faculty of Materials Science and Applied Chemistry, Riga Technical University, P. Valdena 3/7, Riga, LV-1048, Latvia†Institute of Science and Innovative Technologies, University of Liepaja, 14 Liela Street, Liepaja LV–3401, Latvia‡The MS2 Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada, N2L 3C5, Canada
R. V. N. Melnik: ��The MS2 Discovery Interdisciplinary Research Institute, Wilfrid Laurier University, Waterloo, Ontario, Canada, N2L 3C5, Canada

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 06, 1-19

Abstract: Corrections to scaling in the 3D Ising model are studied based on Monte Carlo (MC) simulation results for very large lattices with linear lattice sizes up to L=3456. Our estimated values of the correction-to-scaling exponent ω tend to decrease below the usually accepted value about 0.83 when the smallest lattice sizes, i.e. L64. We propose refining MCRG simulations and analysis to resolve this issue. Our actual MC estimations of the critical exponents η and ν provide stable values η=0.03632(13) and ν=0.63017(31), which well agree with those of the conformal bootstrap method, i.e. η=0.0362978(20) and ν=0.6299709(40).

Keywords: Ising model; corrections to scaling; Monte Carlo simulation; parallel Wolff algorithms; very large lattices; scaling analysis; Monte Carlo renormalization group; conformal bootstrap (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500791

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