Finite-Size Scaling at $\xi/L \gg 1$
High Energy Physics - Lattice
2009-10-22 v1 Condensed Matter
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 two-dimensional and -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.
Keywords
Cite
@article{arxiv.hep-lat/9409004,
title = {Finite-Size Scaling at $\xi/L \gg 1$},
author = {Sergio Caracciolo and Robert G. Edwards and Sabino José Ferreira and Andrea Pelissetto and Alan D. Sokal},
journal= {arXiv preprint arXiv:hep-lat/9409004},
year = {2009}
}
Comments
11 pages including 4 figures, 280216 bytes Postscript (NYU-TH-94/09/02)