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- W4384204167 abstract "We analyze scaling functions in the $3$-$d$, $Z(2)$, $O(2)$ and $O(4)$ universality classes and their finite size dependence using Monte Carlo simulations of improved $phi^4$ 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 $O(4)$ 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 $Z(2)$ and $O(N)$ universality classes and determine the volume dependence of the peak locations in order parameter and mixed susceptibilities." @default.
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- W4384204167 date "2023-07-13" @default.
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- W4384204167 title "Scaling functions of the three-dimensional <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>Z</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> , <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>O</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math> , and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display…" @default.
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- W4384204167 doi "https://doi.org/10.1103/physrevd.108.014505" @default.
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