Two-cycles in spin-systems: sequential versus synchronous updating in multi-state Ising-type ferromagnets

被引：8

作者：

Bolle, D ^{[1
]}

Blanco, JB ^{[1
]}

机构：

[1] Katholieke Univ Leuven, Inst Theoret Fys, B-3001 Louvain, Belgium

来源：

EUROPEAN PHYSICAL JOURNAL B | 2004年 / 42卷 / 03期

关键词：

D O I：

10.1140/epjb/e2004-00396-1

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Hamiltonians for general multi-state spin-glass systems with Ising symmetry are derived for both sequential and synchronous updating of the spins. The possibly different. behaviour caused by the way of updating is studied in detail for the (anti)-ferromagnetic version of the models. which can be solved analytically without any approximation, both thermodynamically via a free-energy calculation and dynamically using, the generating functional approach. Phase diagrams are discussed and the appearance of two-cycles in the case of synchronous updating is examined: A comparative study is made for the Q-Ising and the Blume-Emery-Griffiths ferromagnets and some interesting physical differences are found. Numerical simulations confirm the results obtained.

引用

页码：397 / 406

页数：10

共 22 条

[1] RELATION BETWEEN MASTER EQUATIONS AND RANDOM WALKS AND THEIR SOLUTIONS [J].

BEDEAUX, D ;

LAKATOSL.K ;

SHULER, KE .

JOURNAL OF MATHEMATICAL PHYSICS, 1971, 12 (10) :2116-+

[2] THEORY OF FIRST-ORDER MAGNETIC PHASE CHANGE IN UO2 [J].

BLUME, M .

PHYSICAL REVIEW, 1966, 141 (02) :517-&

[3] ISING MODEL FOR LAMBDA TRANSITION AND PHASE SEPARATION IN HE-3-HE-4 MIXTURES [J].

BLUME, M ;

EMERGY, VJ ;

GRIFFITHS, RB .

PHYSICAL REVIEW A-GENERAL PHYSICS, 1971, 4 (03) :1071-+

[4] An optimal Q-state neural network using mutual information [J].

Bollé, D ;

Verbeiren, T .

PHYSICS LETTERS A, 2002, 297 (3-4) :156-161

[5]

BOLLE D, 2004, ADV CONDENSED MATTER, P319

[6] ON POSSIBILITY OF FIRST-ORDER PHASE TRANSITIONS IN ISING SYSTEMS OF TRIPLET IONS WITH ZERO-FIELD SPLITTING [J].

CAPEL, HW .

PHYSICA, 1966, 32 (05) :966-&

[7] The Little-Hopfield model on a sparse random graph [J].

Castillo, IP ;

Skantzos, NS .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (39) :9087-9099

[8]

Coolen A. C. C., 2001, HDB BIOL PHYS, V4, P553

[9] Thermodynamic properties of a full-replica-symmetry-breaking Ising spin glass on lattice gas: The random Blume-Emery-Griffiths-Capel model [J].

Crisanti, A ;

Leuzzi, L .

PHYSICAL REVIEW B, 2004, 70 (01) :014409-1

[10] Effects of random biquadratic couplings in a spin-1 spin-glass model [J].

de Araújo, JM ;

da Costa, FA ;

Nobre, FD .

EUROPEAN PHYSICAL JOURNAL B, 2000, 14 (04) :661-667

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