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

被引:0
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作者
Jesús Salas
Alan D. Sokal
机构
[1] New York University,Department of Physics
[2] Universidad de Zaragoza,Departamento de Física Teórica, Facultad de Ciencias
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关键词
Scaling; finite-size scaling; critical phenomena; renormalization group; logarithmic corrections; corrections to scaling; Potts model; Ashkin–Teller model; Swendsen–Wang algorithm; cluster algorithm; Monte Carlo;
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摘要
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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页码:567 / 615
页数:48
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