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 journal › Article

    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

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    scaling
    systematic errors
    extrapolation
    simulation

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    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

    Extrapolating Monte Carlo simulations to infinite volume : Finite-size scaling at ξ/L 1. / Caracciolo, Sergio; Edwards, Robert G.; Ferreira, Sabino José; Pelissetto, Andrea; Sokal, Alan D.

    In: Physical Review Letters, Vol. 74, No. 15, 1995, p. 2969-2972.

    Research output: Contribution to journal › Article

    Caracciolo, S, Edwards, RG, Ferreira, SJ, Pelissetto, A & Sokal, AD 1995, 'Extrapolating Monte Carlo simulations to infinite volume: Finite-size scaling at ξ/L 1', Physical Review Letters, vol. 74, no. 15, pp. 2969-2972. https://doi.org/10.1103/PhysRevLett.74.2969
    Caracciolo S, Edwards RG, Ferreira SJ, Pelissetto A, Sokal AD. Extrapolating Monte Carlo simulations to infinite volume: Finite-size scaling at ξ/L 1. Physical Review Letters. 1995;74(15):2969-2972. https://doi.org/10.1103/PhysRevLett.74.2969
    Caracciolo, Sergio ; Edwards, Robert G. ; Ferreira, Sabino José ; Pelissetto, Andrea ; Sokal, Alan D. / Extrapolating Monte Carlo simulations to infinite volume : Finite-size scaling at ξ/L 1. In: Physical Review Letters. 1995 ; Vol. 74, No. 15. pp. 2969-2972.
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