Extrapolating Monte Carlo simulations to infinite volume: Finite-size scaling at ξ/L 1

Sergio Caracciolo, Robert G. Edwards, Sabino José 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 two-dimensional 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)2969-2972
    Number of pages4
    JournalPhysical Review Letters
    Volume74
    Issue number15
    DOIs
    StatePublished - 1995

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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  • Cite this

    Caracciolo, S., Edwards, R. G., Ferreira, S. J., Pelissetto, A., & Sokal, A. D. (1995). Extrapolating Monte Carlo simulations to infinite volume: Finite-size scaling at ξ/L 1. Physical Review Letters, 74(15), 2969-2972. https://doi.org/10.1103/PhysRevLett.74.2969