### Abstract

We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three examples: the two-dimensional three-state Potts antiferromagnet on the square lattice, and the twodimensional O(3) and O(∞) σ-models. In favorable cases it is possible to obtain reliable extrapolations (errors of a few percent) even when the correlation length is 1000 times larger than the lattice.

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

Pages (from-to) | 749-751 |

Number of pages | 3 |

Journal | Nuclear Physics B - Proceedings Supplements |

Volume | 42 |

Issue number | 1-3 |

DOIs | |

State | Published - 1995 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B - Proceedings Supplements*,

*42*(1-3), 749-751. https://doi.org/10.1016/0920-5632(95)00370-O

**New method for the extrapolation of finite-size data to infinite volume.** / Caracciolo, Sergio; Edwards, Robert G.; Ferreira, Sabino J.; Pelissetto, Andrea; Sokal, Alan D.

Research output: Contribution to journal › Article

*Nuclear Physics B - Proceedings Supplements*, vol. 42, no. 1-3, pp. 749-751. https://doi.org/10.1016/0920-5632(95)00370-O

}

TY - JOUR

T1 - New method for the extrapolation of finite-size data to infinite volume

AU - Caracciolo, Sergio

AU - Edwards, Robert G.

AU - Ferreira, Sabino J.

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

PY - 1995

Y1 - 1995

N2 - We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three examples: the two-dimensional three-state Potts antiferromagnet on the square lattice, and the twodimensional O(3) and O(∞) σ-models. In favorable cases it is possible to obtain reliable extrapolations (errors of a few percent) even when the correlation length is 1000 times larger than the lattice.

AB - We present a simple and powerful method for extrapolating finite-volume Monte Carlo data to infinite volume, based on finite-size-scaling theory. We discuss carefully its systematic and statistical errors, and we illustrate it using three examples: the two-dimensional three-state Potts antiferromagnet on the square lattice, and the twodimensional O(3) and O(∞) σ-models. In favorable cases it is possible to obtain reliable extrapolations (errors of a few percent) even when the correlation length is 1000 times larger than the lattice.

UR - http://www.scopus.com/inward/record.url?scp=33750271708&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750271708&partnerID=8YFLogxK

U2 - 10.1016/0920-5632(95)00370-O

DO - 10.1016/0920-5632(95)00370-O

M3 - Article

VL - 42

SP - 749

EP - 751

JO - Nuclear and Particle Physics Proceedings

JF - Nuclear and Particle Physics Proceedings

SN - 2405-6014

IS - 1-3

ER -