THE CLUSTER UPDATING MONTE-CARLO ALGORITHM APPLIED TO THE 3D ISING PROBLEM

被引：20

作者：

LIVET, F

机构：

[1] Laboratoire de Thermodynamique et, Physico-Chimie Metallurgiques

来源：

EUROPHYSICS LETTERS | 1991年 / 16卷 / 02期

关键词：

LATTICE THEORY AND STATISTICS; ISING PROBLEMS; EQUILIBRIUM PROPERTIES NEAR CRITICAL POINTS; CRITICAL EXPONENTS;

D O I：

10.1209/0295-5075/16/2/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The cluster updating Monte Carlo algorithm is applied to the 3d simple cubic Ising model. The experimental results are shown to have no critical slowing-down. A simple method predicts the limits of any Monte Carlo calculation. These limits are closely approached. The information treatment is then discussed in calculating the transition temperature. By the simple <<fourth-order cumulant method>> of Binder, one obtains beta-c congruent-to 0.221 654 4(10).

引用

页码：139 / 142

页数：4

共 7 条

[1] FINITE-SIZE SCALING IN THE 3-DIMENSIONAL ISING-MODEL [J].

BARBER, MN ;

PEARSON, RB ;

TOUSSAINT, D ;

RICHARDSON, JL .

PHYSICAL REVIEW B, 1985, 32 (03) :1720-1730

[2] FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].

BINDER, K .

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140

[3]

ITZYKSON C, 1989, THEORIE STATISTIQUE, P121

[4]

MEO MDD, 1990, J STAT PHYS, V60, P585

[5] NONUNIVERSAL CRITICAL-DYNAMICS IN MONTE-CARLO SIMULATIONS [J].

SWENDSEN, RH ;

WANG, JS .

PHYSICAL REVIEW LETTERS, 1987, 58 (02) :86-88

[6] CLUSTER MONTE-CARLO ALGORITHMS [J].

WANG, JS ;

SWENDSEN, RH .

PHYSICA A, 1990, 167 (03) :565-579

[7]

WOLFF U, 1989, PHYS REV LETT, V62, P2361

← 1 →