Ensemble inequivalence in a mean-field XY model with ferromagnetic and nematic couplings

被引：10

作者：

Pikovsky, Arkady ^{[1
,2
]}

Gupta, Shamik ^{[3
]}

Teles, Tarcisio N. ^{[4
]}

Benetti, Fernanda P. C. ^{[4
]}

Pakter, Renato ^{[4
]}

Levin, Yan ^{[4
]}

Ruffo, Stefano ^{[5
,6
,7
,8
]}

机构：

[1] Univ Potsdam, Dept Phys & Astron, D-14476 Potsdam, Germany

[2] Nizhnii Novgorod State Univ, Dept Control Theory, Nizhnii Novgorod 606950, Russia

[3] Univ Paris 11, CNRS, UMR 8626, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France

[4] Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS, Brazil

[5] Univ Florence, Dipartimento Fis & Astron, I-50019 Sesto Fiorentino, Italy

[6] Univ Florence, CSDC, I-50019 Sesto Fiorentino, Italy

[7] Ist Nazl Fis Nucl, I-50019 Sesto Fiorentino, Italy

[8] CNISM, I-50019 Sesto Fiorentino, Italy

来源：

PHYSICAL REVIEW E | 2014年 / 90卷 / 06期

关键词：

PHASE-TRANSITIONS; SYSTEMS; DIAGRAM;

D O I：

10.1103/PhysRevE.90.062141

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：

We explore ensemble inequivalence in long-range interacting systems by studying an XY model of classical spinswith ferromagnetic and nematic coupling. We demonstrate the inequivalence bymapping themicrocanonical phase diagram onto the canonical one, and also by doing the inverse mapping. We show that the equilibrium phase diagrams within the two ensembles strongly disagree within the regions of first-order transitions, exhibiting interesting features like temperature jumps. In particular, we discuss the coexistence and forbidden regions of different macroscopic states in both the phase diagrams.

引用

页数：5

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