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 language | English (US) |
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Pages (from-to) | 2969-2972 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 74 |
Issue number | 15 |
DOIs | |
State | Published - 1995 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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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
}
TY - JOUR
T1 - Extrapolating Monte Carlo simulations to infinite volume
T2 - Finite-size scaling at ξ/L 1
AU - Caracciolo, Sergio
AU - Edwards, Robert G.
AU - Ferreira, Sabino José
AU - Pelissetto, Andrea
AU - Sokal, Alan D.
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=3543015244&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.74.2969
DO - 10.1103/PhysRevLett.74.2969
M3 - Article
VL - 74
SP - 2969
EP - 2972
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 15
ER -