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 - 1995/4

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

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

M3 - Article

AN - SCOPUS:33750271708

SN - 0920-5632

VL - 42

SP - 749

EP - 751

JO - Nuclear Physics B (Proceedings Supplements)

JF - Nuclear Physics B (Proceedings Supplements)

IS - 1-3

ER -