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

Author

Listed:
  • 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)

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).

Suggested Citation

  • J. Kaupužs & R. V. N. Melnik, 2023. "Corrections to scaling in the 3D Ising model: A comparison between MC and MCRG results," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-19, June.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:06:n:s0129183123500791
    DOI: 10.1142/S0129183123500791
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