Ensemble inequivalence in the Blume-Emery-Griffiths model near a fourth-order critical point

被引:20
|
作者
Prasad, V. V. [1 ]
Campa, Alessandro [2 ]
Mukamel, David [1 ]
Ruffo, Stefano [3 ,4 ]
机构
[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-7610001 Rehovot, Israel
[2] Ist Super Sanita, Natl Ctr Radiat Protect & Computat Phys, Viale Regina Elena 299, I-00161 Rome, Italy
[3] INFN, SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[4] CNR, ISC, Via Bonomea 265, I-34136 Trieste, Italy
关键词
STATISTICAL-MECHANICS; ISING-MODEL; 2-DIMENSIONAL VORTICES; TRICRITICAL POINTS; DYNAMICS;
D O I
10.1103/PhysRevE.100.052135
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The canonical phase diagram of the Blume-Emery-Griffiths model with infinite-range interactions is known to exhibit a fourth-order critical point at some negative value of the biquadratic interaction K < 0. Here we study the microcanonical phase diagram of this model for K < 0, extending previous studies which were restricted to positive K. A fourth-order critical point is found to exist at coupling parameters which are different from those of the canonical ensemble. The microcanonical phase diagram of the model close to the fourth-order critical point is studied in detail revealing some distinct features from the canonical counterpart.
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页数:9
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