Non-equilibrium relaxation study for frustrated spin system with successive phase transitions

被引:16
作者
Ogawa, K [1 ]
Ozeki, Y [1 ]
机构
[1] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan
关键词
non-equilibrium relaxation; critical phenomena; Monte Carlo simulation; BEG model; universality;
D O I
10.1143/JPSJ.69.2808
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The non-equilibrium relaxation method (NER) is applied to a frustrated spin system with competitive interactions. The critical point and critical exponents are estimated accurately for the Blume-Emery-Griffiths model in three dimensions. It is applied to the region where successive transitions of PM-FM-PM-SQ phases occur: we denote paramagnetic (PM), ferromagnetic (Fh I) and staggered quadrupole (SQ) phases. With the analysis for relaxation of fluctuations, we can estimate various critical exponents. The result indicates that all transitions belong to the Ising universality class in three dimensions. It is found that the NER method is useful to analyze the critical phenomena for complex systems in which equilibrium simulation is even difficult.
引用
收藏
页码:2808 / 2815
页数:8
相关论文
共 29 条
[1]   PHASE-DIAGRAMS AND TRICRITICAL EFFECTS IN THE BEG MODEL [J].
ANANIKIAN, NS ;
AVAKIAN, AR ;
IZMAILIAN, NS .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1991, 172 (03) :391-404
[2]   BLUME-EMERY-GRIFFITHS-POTTS MODEL IN 2 DIMENSIONS - PHASE-DIAGRAM AND CRITICAL PROPERTIES FROM A POSITION-SPACE RENORMALIZATION GROUP [J].
BERKER, AN ;
WORTIS, M .
PHYSICAL REVIEW B, 1976, 14 (11) :4946-4963
[3]   FINITE SIZE SCALING ANALYSIS OF ISING-MODEL BLOCK DISTRIBUTION-FUNCTIONS [J].
BINDER, K .
ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1981, 43 (02) :119-140
[4]   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-+
[5]  
de Alcantara Bonfim O. F., 1986, Zeitschrift fur Physik B (Condensed Matter), V64, P469, DOI 10.1007/BF01312841
[6]   A SPIN-ONE ISING-MODEL ON A HONEYCOMB LATTICE [J].
HORIGUCHI, T .
PHYSICS LETTERS A, 1986, 113 (08) :425-428
[7]   MULTICRITICAL PHASE-DIAGRAMS OF THE BLUME-EMERY-GRIFFITHS MODEL WITH REPULSIVE BIQUADRATIC COUPLING [J].
HOSTON, W ;
BERKER, AN .
PHYSICAL REVIEW LETTERS, 1991, 67 (08) :1027-1030
[8]   Non-universal critical behavior in the ferromagnetic transition of the ±J Ising model [J].
Ito, N ;
Ozeki, Y ;
Kitatani, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (03) :803-810
[9]   Ferromagnetic transition of ±J Ising spin glass model on square lattice [J].
Ito, N ;
Matsuhisa, T ;
Kitatani, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 67 (04) :1188-1196
[10]   Nonequilibrium relaxation of fluctuations of physical quantities [J].
Ito, N ;
Hukushima, K ;
Ogawa, K ;
Ozeki, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2000, 69 (07) :1931-1934