Critical behavior of three-dimensional disordered Potts models with many states

被引：11

作者：

Alvarez Banos, R. ^{[1
,2
]}

Cruz, A. ^{[1
,2
]}

Fernandez, L. A. ^{[1
,3
]}

Gordillo-Guerrero, A. ^{[1
,4
]}

Gil-Narvion, J. M. ^{[1
,2
]}

Guidetti, M. ^{[5
,6
]}

Maiorano, A. ^{[7
,8
]}

Mantovani, F. ^{[5
,6
]}

Marinari, E. ^{[7
,8
]}

Martin-Mayor, V. ^{[1
,3
]}

Monforte-Garcia, J. ^{[1
,2
]}

Munoz Sudupe, A. ^{[3
]}

Navarro, D. ^{[9
]}

Parisi, G. ^{[7
,8
]}

Perez-Gaviro, S. ^{[1
,7
,8
]}

Ruiz-Lorenzo, J. J. ^{[1
,10
]}

Seoane, B. ^{[1
,3
]}

Schifano, S. F. ^{[6
,11
]}

Tarancon, A. ^{[1
,2
]}

Tripiccione, R. ^{[5
,6
]}

Yllanes, D. ^{[1
,3
]}

机构：

[1] Inst Biocomputa & Fis Sistemas Complejos BIFI, Zaragoza, Spain

[2] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain

[3] Univ Complutense, Dept Fis Teor 1, E-28040 Madrid, Spain

[4] Univ Extremadura, Dept Ingn Elect Elect & Automat, Caceres 10071, Spain

[5] Univ Ferrara, Dipartmento Fis, I-44100 Ferrara, Italy

[6] Ist Nazl Fis Nucl, Sez Ferrara, Ferrara, Italy

[7] Univ Roma La Sapienza, Dipartimento Fis, CNR, I-00185 Rome, Italy

[8] Univ Roma La Sapienza, Ist Nazl Fis Nucl, I-00185 Rome, Italy

[9] Univ Zaragoza, Inst Invest Ingn Aragon, Zaragoza 50018, Spain

[10] Univ Extremadura, Dept Fis, E-06071 Badajoz, Spain

[11] Univ Ferrara, Dipartmento Matemat, I-44100 Ferrara, Italy

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2010年

关键词：

critical exponents and amplitudes (theory); finite-size scaling; spin glasses (theory); SPIN-GLASS; FERROMAGNETIC PHASE; 3; DIMENSIONS; COMPUTER;

D O I：

10.1088/1742-5468/2010/05/P05002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We study the 3D disordered Potts model with p = 5 and 6. Our numerical simulations (that severely slow down for increasing p) detect a very clear spin glass phase transition. We evaluate the critical exponents and the critical value of the temperature, and we use known results at lower p values to discuss how they evolve for increasing p. We do not find any sign of the presence of a transition to a ferromagnetic regime.

引用

页数：16

共 50 条

[1] Critical behavior of the three-dimensional random-bond Potts model with many states
Xiong, Wanjie
Xu, Chudong
Guo, Zizheng
PHASE TRANSITIONS, 2014, 87 (02) : 193 - 205
[2] Dynamic critical exponents of three-dimensional Ising models and two-dimensional three-states Potts models
Murase, Yohsuke
Ito, Nobuyasu
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2008, 77 (01)
[3] Investigation of the critical behavior of the three-dimensional weakly diluted Potts model
A. K. Murtazaev
A. B. Babaev
G. Ya. Aznaurova
Bulletin of the Russian Academy of Sciences: Physics, 2007, 71 (5) : 707 - 708
[4] Three-dimensional effects on extended states in disordered models of polymers
Phys Rev B, 13 (8115):
[5] Numerical evidence of a universal critical behavior of two-dimensional and three-dimensional random quantum clock and Potts models
Anfray, Valentin
Chatelain, Christophe
PHYSICAL REVIEW E, 2023, 108 (01)
[6] Critical behavior in the site-diluted three-dimensional three-state Potts model
Ballesteros, HG
Fernández, LA
Martín-Mayor, V
Sudupe, AM
Parisi, G
Ruiz-Lorenzo, JJ
PHYSICAL REVIEW B, 2000, 61 (05) : 3215 - 3218
[7] Critical behavior of three-dimensional Ising spin glass models
Hasenbusch, Martin
Pelissetto, Andrea
Vicari, Ettore
PHYSICAL REVIEW B, 2008, 78 (21):
[8] Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
Roma, F.
Dominguez, D.
PHYSICAL REVIEW B, 2014, 89 (02)
[9] Effect of long-range interactions on the critical behavior of three-dimensional disordered systems
S. V. Belim
Journal of Experimental and Theoretical Physics Letters, 2003, 77 : 434 - 437
[10] Effect of long-range interactions on the critical behavior of three-dimensional disordered systems
Belim, SV
JETP LETTERS, 2003, 77 (08) : 434 - 437

← 1 2 3 4 5 →