Random Ising model in three dimensions: theory, experiment and simulation - a difficult coexistence

被引：12

作者：

Berche, B ^{[1
]}

Berche, PE

Chatelain, C

Janke, W

机构：

[1] Univ Nancy 1, CNRS, UMR 7556, Grp M,Lab Phys Mat, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Rouen, Grp Phys Mat, UMR 6634, CNRS, F-76801 St Etienne, France

[3] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany

来源：

CONDENSED MATTER PHYSICS | 2005年 / 8卷 / 01期

关键词：

random Ising model; renormalization group; Monte Carlo simulations; effective critical exponents;

D O I：

10.5488/CMP.8.1.47

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We discuss different approaches to the study of the effect of disorder in the three-dimensional Ising model. From the theoretical point of view, renormalization group calculations provide quite accurate results. Experiments carried out on crystalline mixtures of compounds lead to measurements as accurate as three digits on the values of critical exponents. Numerically, extensive Monte Carlo simulations then pretend to be of comparable accuracy. Life becomes complicated when details are compared between the three approaches.

引用

页码：47 / 58

页数：12

共 17 条

[1] Critical exponents of the three-dimensional diluted Ising model [J].

Ballesteros, HG ;

Fernandez, LA ;

Martin-Mayor, V ;

Sudupe, AM ;

Parisi, G ;

Ruiz-Lorenzo, JJ .

PHYSICAL REVIEW B, 1998, 58 (05) :2740-2747

[2] CROSSOVER FROM RANDOM-EXCHANGE TO RANDOM-FIELD CRITICAL-BEHAVIOR IN FEXZN1-XF2 [J].

BELANGER, DP ;

KING, AR ;

JACCARINO, V .

PHYSICAL REVIEW B, 1986, 34 (01) :452-455

[3] Bond dilution in the 3D ising model: a Monte Carlo study [J].

Berche, PE ;

Chatelain, C ;

Berche, B ;

Janke, W .

EUROPEAN PHYSICAL JOURNAL B, 2004, 38 (03) :463-474

[4] CRITICAL-BEHAVIOR OF A SITE-DILUTED 3-DIMENSIONAL ISING MAGNET [J].

BIRGENEAU, RJ ;

COWLEY, RA ;

SHIRANE, G ;

YOSHIZAWA, H ;

BELANGER, DP ;

KING, AR ;

JACCARINO, V .

PHYSICAL REVIEW B, 1983, 27 (11) :6747-6753

[5] Three-dimensional randomly dilute Ising model:: Monte Carlo results -: art. no. 036136 [J].

Calabrese, P ;

Martín-Mayor, V ;

Pelissetto, A ;

Vicari, E .

PHYSICAL REVIEW E, 2003, 68 (03) :17

[6] Effective critical behaviour of diluted Heisenberg-like magnets [J].

Dudka, M ;

Folk, R ;

Holovatch, Y ;

Ivaneiko, D .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2003, 256 (1-3) :243-251

[7]

FERMI E, 1955, COLLECTED PAPERS E F

[8] Critical exponents of a three-dimensional weakly diluted quenched Ising model [J].

Folk, R ;

Holovatch, Y ;

Yavors'kii, T .

PHYSICS-USPEKHI, 2003, 46 (02) :169-191

[9] Effective and asymptotic critical exponents of a weakly diluted quenched Ising model:: Three-dimensional approach versus √ε expansion [J].

Folk, R ;

Holovatch, Y ;

Yavors'kii, T .

PHYSICAL REVIEW B, 2000, 61 (22) :15114-15129

[10]

Folk R., 1998, Journal of Physical Studies, V2, P213

← 1 2 →