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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U2 - 10.1103/PhysRevLett.74.2969
DO - 10.1103/PhysRevLett.74.2969
M3 - Article
AN - SCOPUS:3543015244
SN - 0031-9007
VL - 74
SP - 2969
EP - 2972
JO - Physical Review Letters
JF - Physical Review Letters
IS - 15
ER -