### Abstract

We study the dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model. We find that the Li-Sokal bound on the autocorrelation time (τ_{int. δ} ≥ const × C_{H}) holds along the self-dual curve of the symmetric Ashkin-Teller model, and is almost, but not quite sharp. The ratio τ_{int. δ} /C_{H} appears to tend to infinity either as a logarithm or as a small power (0.05 ≤ p ≤ 0.12). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.

Original language | English (US) |
---|---|

Pages (from-to) | 297-361 |

Number of pages | 65 |

Journal | Journal of Statistical Physics |

Volume | 85 |

Issue number | 3-4 |

State | Published - Nov 1996 |

### Fingerprint

### Keywords

- Ashkin-Teller model
- Autocorrelation time
- Cluster algorithm
- Critical slowing down
- Dynamical critical behavior
- Fitting correlated data
- Ising model
- Li-Sokal bound
- Monte Carlo
- Potts model
- Swendsen-Wang algorithm

### ASJC Scopus subject areas

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

### Cite this

*Journal of Statistical Physics*,

*85*(3-4), 297-361.

**Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model.** / Salas, Jesús; Sokal, Alan D.

Research output: Contribution to journal › Article

*Journal of Statistical Physics*, vol. 85, no. 3-4, pp. 297-361.

}

TY - JOUR

T1 - Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model

AU - Salas, Jesús

AU - Sokal, Alan D.

PY - 1996/11

Y1 - 1996/11

N2 - We study the dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model. We find that the Li-Sokal bound on the autocorrelation time (τint. δ ≥ const × CH) holds along the self-dual curve of the symmetric Ashkin-Teller model, and is almost, but not quite sharp. The ratio τint. δ /CH appears to tend to infinity either as a logarithm or as a small power (0.05 ≤ p ≤ 0.12). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.

AB - We study the dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model. We find that the Li-Sokal bound on the autocorrelation time (τint. δ ≥ const × CH) holds along the self-dual curve of the symmetric Ashkin-Teller model, and is almost, but not quite sharp. The ratio τint. δ /CH appears to tend to infinity either as a logarithm or as a small power (0.05 ≤ p ≤ 0.12). In an appendix we discuss the problem of extracting estimates of the exponential autocorrelation time.

KW - Ashkin-Teller model

KW - Autocorrelation time

KW - Cluster algorithm

KW - Critical slowing down

KW - Dynamical critical behavior

KW - Fitting correlated data

KW - Ising model

KW - Li-Sokal bound

KW - Monte Carlo

KW - Potts model

KW - Swendsen-Wang algorithm

UR - http://www.scopus.com/inward/record.url?scp=0030524683&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030524683&partnerID=8YFLogxK

M3 - Article

VL - 85

SP - 297

EP - 361

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

SN - 0022-4715

IS - 3-4

ER -