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 journalArticle

    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 languageEnglish (US)
    Pages (from-to)749-751
    Number of pages3
    JournalNuclear Physics B - Proceedings Supplements
    Volume42
    Issue number1-3
    DOIs
    StatePublished - 1995

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    extrapolation
    systematic errors
    scaling

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Caracciolo, S., Edwards, R. G., Ferreira, S. J., Pelissetto, A., & Sokal, A. D. (1995). New method for the extrapolation of finite-size data to infinite volume. 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.

    In: Nuclear Physics B - Proceedings Supplements, Vol. 42, No. 1-3, 1995, p. 749-751.

    Research output: Contribution to journalArticle

    Caracciolo, S, Edwards, RG, Ferreira, SJ, Pelissetto, A & Sokal, AD 1995, 'New method for the extrapolation of finite-size data to infinite volume', Nuclear Physics B - Proceedings Supplements, vol. 42, no. 1-3, pp. 749-751. https://doi.org/10.1016/0920-5632(95)00370-O
    Caracciolo, Sergio ; Edwards, Robert G. ; Ferreira, Sabino J. ; Pelissetto, Andrea ; Sokal, Alan D. / New method for the extrapolation of finite-size data to infinite volume. In: Nuclear Physics B - Proceedings Supplements. 1995 ; Vol. 42, No. 1-3. pp. 749-751.
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