### 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 |

State | Published - Aug 1997 |

### Fingerprint

### 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

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Statistical Physics*,

*88*(3-4), 567-615.

**Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model.** / Salas, Jesús; Sokal, Alan D.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 88, no. 3-4, pp. 567-615.

}

TY - JOUR

T1 - Logarithmic corrections and finite-size scaling in the two-dimensional 4-state Potts model

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

UR - http://www.scopus.com/inward/record.url?scp=0031206168&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031206168&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0031206168

VL - 88

SP - 567

EP - 615

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -