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

被引：93

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

来源：

PHYSICAL REVIEW LETTERS | 1995年 / 74卷 / 15期

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

页码：2969 / 2972

页数：4

共 18 条

[11]

Neuberger H., Phys. Lett. B, 233, (1989)

[12]

Caracciolo S., Pelissetto A.

[13]

Baxter R.J., Critical Antiferromagnetic Square-Lattice Potts Model, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 383, (1982)

[14]

Wang J.-S., Swendsen R.H., Kotecky R., Phys. Rev. Lett., 63, (1989)

[15]

Phys. Rev. B, 42, (1990)

[16]

Lubin M., Sokal A.D., Phys. Rev. Lett., 71, (1993)

[17]

Wolff U., Phys. Rev. Lett., 62, (1989)

[18]

Swendsen R.H., Wang J.-S., Phys. Rev. Lett., 58, (1987)

← 1 2 →