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New method for the extrapolation of finite-size data to infinite volume

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({infinity}) {sigma}-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. ((orig.)).
Authors:
Caracciolo, S; [1]  Edwards, R G; [2]  Ferreira, S J; [3]  Pelissetto, A; [4]  Sokal, A D [5] 
  1. Lecce Univ. (Italy). Dipartimento di Fisica and INFN
  2. Florida State Univ., Tallahassee, FL (United States). Supercomputer Computations Research Inst. (SCRI)
  3. Departamento de Fisica, Universidade Federal de Minas Gerais, Belo Horizonte, MG 30161 (Brazil)
  4. Dipartimento di Fisica and INFN - Sezione di Pisa, Universita degli Studi di Pisa, Pisa 56100 (Italy)
  5. Department of Physics, New York University, 4 Washington Place, New York, NY 10003 (United States)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064367; EDB-95:132416; SN: 95001458382
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; EXTRAPOLATION; BOUNDARY CONDITIONS; LATTICE FIELD THEORY; MONTE CARLO METHOD; SIGMA MODEL; ANTIFERROMAGNETISM; CORRELATION FUNCTIONS; ERRORS; NONLINEAR PROBLEMS; O GROUPS; SCALING LAWS; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101073
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF410064367
Submitting Site:
NLN
Size:
pp. 749-751
Announcement Date:
Oct 05, 1995

Citation Formats

Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D. New method for the extrapolation of finite-size data to infinite volume. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00370-O.
Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, & Sokal, A D. New method for the extrapolation of finite-size data to infinite volume. Netherlands. doi:10.1016/0920-5632(95)00370-O.
Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D. 1995. "New method for the extrapolation of finite-size data to infinite volume." Netherlands. doi:10.1016/0920-5632(95)00370-O. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00370-O.
@misc{etde_101073,
title = {New method for the extrapolation of finite-size data to infinite volume}
author = {Caracciolo, S, Edwards, R G, Ferreira, S J, Pelissetto, A, and Sokal, A D}
abstractNote = {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({infinity}) {sigma}-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. ((orig.)).}
doi = {10.1016/0920-5632(95)00370-O}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}