Abstract
We analyze scaling functions in the 3D , , and universality classes and their finite-size dependence using Monte Carlo simulations of improved models. Results for the scaling functions are fitted to the Widom-Griffiths form, using a parametrization also used in analytic calculations. We find good agreement on the level of scaling functions and the location of maxima in the universal part of susceptibilities. We also find that an earlier parametrization of the scaling function, using 14 parameters, is well reproduced when using the Widom-Griffiths form with only three parameters. We furthermore show that finite-size corrections to the scaling functions are distinctively different in the and universality classes and determine the volume dependence of the peak locations in order parameter and mixed susceptibilities.
1 More- Received 8 April 2023
- Accepted 5 June 2023
DOI:https://doi.org/10.1103/PhysRevD.108.014505
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society