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

来源：

PHYSICAL REVIEW E | 2019年 / 100卷 / 05期

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.

引用

页数：9

共 50 条

[21] Blume-Emery-Griffiths model in a random crystal field
Branco, NS
[J]. PHYSICAL REVIEW B, 1999, 60 (02): : 1033 - 1037
[22] RANDOM-ANISOTROPY BLUME-EMERY-GRIFFITHS MODEL
MARITAN, A
CIEPLAK, M
SWIFT, MR
TOIGO, F
BANAVAR, JR
[J]. PHYSICAL REVIEW LETTERS, 1992, 69 (02) : 221 - 224
[23] Critical and reentrant phenomena in the Blume-Emery-Griffiths model with attractive biquadratic interaction
Jalal, E. M.
Saadi, H.
Hasnaoui, A.
Lafhal, A.
Hachem, N.
El Bouziani, M.
[J]. EUROPEAN PHYSICAL JOURNAL B, 2024, 97 (08):
[24] Surface critical behavior of the semi-infinite Blume-Emery-Griffiths model
Bakchich, A
ElBouziani, M
[J]. PHYSICAL REVIEW B, 1997, 56 (17): : 11161 - 11168
[25] Critical behaviors of bond and crystal field dilution Blume-Emery-Griffiths model
Dong, H. P.
Yan, S. L.
[J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2007, 308 (01) : 90 - 96
[26] CLUSTER VARIATION METHOD FOR THE BLUME-EMERY-GRIFFITHS MODEL
BUZANO, C
EVANGELISTA, LR
[J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 1992, 104 : 231 - 232
[27] Random Blume-Emery-Griffiths model on the Bethe lattice
Albayrak, Erhan
[J]. PHYSICA B-CONDENSED MATTER, 2015, 479 : 107 - 111
[28] CRITICAL RELAXATION OF THE ONE-DIMENSIONAL BLUME-EMERY-GRIFFITHS MODEL - COMMENT
WEIR, PO
KOSTERLITZ, JM
[J]. PHYSICAL REVIEW B, 1986, 33 (01): : 622 - 622
[29] Gibbs Measures of the Blume-Emery-Griffiths Model on the Cayley Tree
Botirov, G.
Haydarov, F.
Qayumov, U.
[J]. MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2023, 26 (01)
[30] Monte Carlo studies of extensions of the Blume-Emery-Griffiths model
Loois, C. C.
Barkema, G. T.
Smith, C. Morais
[J]. PHYSICAL REVIEW B, 2008, 78 (18)

← 1 2 3 4 5 →