EXTRAPOLATING MONTE-CARLO SIMULATIONS TO INFINITE VOLUME - FINITE-SIZE-SCALING AT XI/L-MUCH-GREATER-THAN-1

被引:92
作者
CARACCIOLO, S
EDWARDS, RG
FERREIRA, SJ
PELISSETTO, A
SOKAL, AD
机构
[1] IST NAZL FIS NUCL,I-73100 LECCE,ITALY
[2] FLORIDA STATE UNIV,SUPERCOMP COMPUTAT RES INST,TALLAHASSEE,FL 32306
[3] UNIV FED MINAS GERAIS,INST CIENCIAS EXATAS,DEPT FIS,BR-30161 BELO HORIZONT,MG,BRAZIL
[4] NYU,DEPT PHYS,NEW YORK,NY 10003
[5] UNIV PISA,DIPARTIMENTO FIS,I-56100 PISA,ITALY
[6] IST NAZL FIS NUCL,I-56100 PISA,ITALY
关键词
D O I
10.1103/PhysRevLett.74.2969
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. © 1995 The American Physical Society.
引用
收藏
页码:2969 / 2972
页数:4
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