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Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model

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Abstract

We analyze the scaling and finite-size-scaling behavior of the two-dimensional 4-state Potts model. We find new multiplicative logarithmic corrections for the susceptibility, in addition to the already known ones for the specific heat. We also find additive logarithmic corrections to scaling, some of which are universal. We have checked the theoretical predictions at criticality and off criticality by means of high-precision Monte Carlo data.

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Author notes

  1. Jesús Salas

    Present address: Departamento de Física Teórica, Facultad de Ciencias, Universidad de Zaragoza, Zaragoza, 50009, Spain

Authors and Affiliations

  1. Department of Physics, New York University, New York, New York, 10003

    Jesús Salas & Alan D. Sokal

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  1. Jesús Salas
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  2. Alan D. Sokal
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Salas, J., Sokal, A.D. Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model. Journal of Statistical Physics 88, 567–615 (1997). https://doi.org/10.1023/B:JOSS.0000015164.98296.85

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  • DOI: https://doi.org/10.1023/B:JOSS.0000015164.98296.85

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