CORRELATION-FUNCTION IN ISING-MODELS

被引：37

作者：

RUGE, C ^{[1
]}

ZHU, P ^{[1
]}

WAGNER, F ^{[1
]}

机构：

[1] HANGZHOU UNIV,DEPT PHYS,HANGZHOU 310028,PEOPLES R CHINA

来源：

PHYSICA A | 1994年 / 209卷 / 3-4期

关键词：

D O I：

10.1016/0378-4371(94)90195-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We simulated the Fourier transform of the correlation function of the Ising model in two and three dimensions using a single cluster algorithm with improved estimators. The simulations are in agreement with series expansion and the available exact results in d = 2, which shows, that the cluster algorithm can successfully be applied for correlations. We show as a further result that our data do not support a hypothesis of Fisher that in any d = 2 lattice the Fourier transform of the correlation function depends on the lattice generating function only. In d = 3 our simulation are again in agreement with the results from the series expansion, except for the amplitudes f(+/-), where we find f(+)/f(-) = 2.06(1).

引用

页码：431 / 443

页数：13

共 23 条

[1] SUSCEPTIBILITY AND FLUCTUATIONS IN ISING FERROMAGNET [J].

ABRAHAM, DB .

PHYSICS LETTERS A, 1973, A 43 (02) :163-164

[2]

[Anonymous], 2013, 2 DIMENSIONAL ISING

[3]

[Anonymous], EXACTLY SOLVED MODEL

[4] MONTE-CARLO RENORMALIZATION-GROUP STUDY OF THE 3-DIMENSIONAL ISING-MODEL [J].

BAILLIE, CF ;

GUPTA, R ;

HAWICK, KA ;

PAWLEY, GS .

PHYSICAL REVIEW B, 1992, 45 (18) :10438-10453

[5] ZERO-FIELD SUSCEPTIBILITY OF 2-DIMENSIONAL ISING-MODEL NEAR TC [J].

BAROUCH, E ;

MCCOY, BM ;

WU, TT .

PHYSICAL REVIEW LETTERS, 1973, 31 (23) :1409-1411

[6] A FAST ALGORITHM FOR THE CYBER-205 TO SIMULATE THE 3D ISING-MODEL [J].

BHANOT, G ;

DUKE, D ;

SALVADOR, R .

JOURNAL OF STATISTICAL PHYSICS, 1986, 44 (5-6) :985-1002

[7]

BREZIN E, 1976, PHYS LETT, V36, P1351

[8]

DOMB C, PHASE TRANSITIONS CR, V3

[9] CRITICAL-BEHAVIOR OF THE 3-DIMENSIONAL ISING-MODEL - A HIGH-RESOLUTION MONTE-CARLO STUDY [J].

FERRENBERG, AM ;

LANDAU, DP .

PHYSICAL REVIEW B, 1991, 44 (10) :5081-5091

[10] THEORY OF CRITICAL-POINT SCATTERING AND CORRELATIONS .I. ISING MODEL [J].

FISHER, ME ;

BURFORD, FJ .

PHYSICAL REVIEW, 1967, 156 (02) :583-&

← 1 2 3 →