Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model

Jesús Salas; Alan D. Sokal

doi:10.1023/b:joss.0000015164.98296.85

Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model

Jesús Salas, Alan D. Sokal

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	567-615
Number of pages	49
Journal	Journal of Statistical Physics
Volume	88
Issue number	3-4
DOIs	https://doi.org/10.1023/b:joss.0000015164.98296.85
State	Published - Aug 1997

Keywords

Ashkin-Teller model
Cluster algorithm
Corrections to scaling
Critical phenomena
Finite-size scaling
Logarithmic corrections
Monte Carlo
Potts model
Renormalization group
Scaling
Swendsen-Wang algorithm

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/b:joss.0000015164.98296.85

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title = "Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model",

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.",

keywords = "Ashkin-Teller model, Cluster algorithm, Corrections to scaling, Critical phenomena, Finite-size scaling, Logarithmic corrections, Monte Carlo, Potts model, Renormalization group, Scaling, Swendsen-Wang algorithm",

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year = "1997",

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AU - Salas, Jesús

AU - Sokal, Alan D.

PY - 1997/8

Y1 - 1997/8

N2 - 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.

AB - 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.

KW - Ashkin-Teller model

KW - Cluster algorithm

KW - Corrections to scaling

KW - Critical phenomena

KW - Finite-size scaling

KW - Logarithmic corrections

KW - Monte Carlo

KW - Potts model

KW - Renormalization group

KW - Scaling

KW - Swendsen-Wang algorithm

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 3-4

ER -

Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model

Abstract

Keywords

ASJC Scopus subject areas

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