Spin-3/2 Ising model by the cluster variation method and the path probability method

被引:14
作者
Canko, O [1 ]
Keskin, M [1 ]
机构
[1] Erciyes Univ, Dept Phys, TR-38039 Kayseri, Turkey
关键词
spin-3/2 Ising model; cluster variation methods; path probability method; metastable and unstable states; relaxation curves;
D O I
10.1016/j.physa.2005.08.022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The spin-3/2 Ising model Hamiltonian with arbitrary bilinear (J) and biquadratic (K) pair interactions is studied by using the lowest approximation of the cluster variation method (LACVM) and the path probability method (PPM) with the point distribution. First, equilibrium properties of the model are presented briefly by using the LACVM in order to understand dynamics of the model easily. Then, the PPM with the point distribution is applied to the model and the set of nonlinear differential equations, which is also called the dynamic or rate equations, is obtained. These equations are solved by two different methods: the first one is the Runge-Kutta method and the second one is to express the solution of the equations by means of the flow diagram. The results are also discussed. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:315 / 326
页数:12
相关论文
共 87 条
[1]   Phase diagrams of the quantum transverse spin-3/2 Ising system with bimodal random field [J].
Albayrak, E .
PHYSICAL REVIEW B, 2002, 65 (13) :1-6
[2]   Trimodal random-field spin-3/2 Ising systems in a transverse field [J].
Albayrak, E ;
Canko, O .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2004, 270 (03) :333-344
[3]   The spin-3/2 Blume-Capel model on the Bethe lattice using the recursion method [J].
Albayrak, E ;
Keskin, M .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2000, 218 (01) :121-127
[4]   Phase diagrams of the spin-3/2 Blume-Emery-Griffiths model on the Bethe lattice using the recursion method [J].
Albayrak, E ;
Keskin, M .
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2002, 241 (2-3) :249-259
[5]   PHASE-TRANSITIONS IN THE SPIN-3/2 BLUME-EMERY-GRIFFITHS MODEL [J].
BAKCHICH, A ;
BASSIR, A ;
BENYOUSSEF, A .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1993, 195 (1-2) :188-196
[6]   MULTICRITICAL BEHAVIOR OF THE ANTIFERROMAGNETIC SPIN-3/2 BLUME-CAPEL MODEL [J].
BAKCHICH, A ;
BEKHECHI, S ;
BENYOUSSEF, A .
PHYSICA A, 1994, 210 (3-4) :415-423
[7]   Position-space renormalization-group investigation of the spin-3/2 Blume-Emery-Giffiths model with repulsive biquadratic coupling [J].
Bakchich, A ;
El Bouziani, M .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2001, 13 (01) :91-99
[8]   PHASE-TRANSITIONS IN THE SPIN-3/2 BEG MODEL [J].
BARRETO, FCS ;
BONFIM, OFD .
PHYSICA A, 1991, 172 (03) :378-390
[9]   Multicritical behavior of the antiferromagnetic spin-3/2 Blume-Capel model: Finite-size-scaling and Monte Carlo studies [J].
Bekhechi, S ;
Benyoussef, A .
PHYSICAL REVIEW B, 1997, 56 (21) :13954-13959
[10]   Eliminating metastability in first-order phase transitions [J].
Bouabci, MB ;
Carneiro, CEI .
PHYSICAL REVIEW B, 1996, 54 (01) :359-363