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

Sergio Caracciolo; Robert G. Edwards; Sabino J. Ferreira; Andrea Pelissetto; Alan D. Sokal

doi:10.1016/0920-5632(95)00370-O

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

Sergio Caracciolo, Robert G. Edwards, Sabino J. Ferreira, Andrea Pelissetto, Alan D. Sokal

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

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	https://doi.org/10.1016/0920-5632(95)00370-O
State	Published - Apr 1995

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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title = "New method for the extrapolation of finite-size data to infinite volume",

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.",

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year = "1995",

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AU - Caracciolo, Sergio

AU - Edwards, Robert G.

AU - Ferreira, Sabino J.

AU - Pelissetto, Andrea

AU - Sokal, Alan D.

PY - 1995/4

Y1 - 1995/4

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.

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ER -

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

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