Random field Ising model in a random graph

被引：8

作者：

Doria, F. F. ^{[1
]}

Erichsen, R., Jr. ^{[1
]}

Dominguez, D. ^{[1
]}

Gonzalez, Mario ^{[2
]}

Magalhaes, S. G. ^{[3
]}

机构：

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

[2] Univ Estatal Milagro, Milagro, Guayas, Ecuador

[3] Univ Fed Fluminense, Inst Fis, BR-24210346 Niteroi, RJ, Brazil

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 422卷

关键词：

Disordered systems; Random field Ising model; Finite connectivity; BETHE LATTICE; SPIN-GLASSES; FINITE CONNECTIVITY; TRICRITICAL POINTS; STATE; INSTABILITY; SYMMETRY; SYSTEMS;

D O I：

10.1016/j.physa.2014.12.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Random Field Ising Model (RFIM) following bimodal and Gaussian distributions for the RF is investigated using a finite connectivity technique. We focused on determining the order of the phase transition as well as the existence of a tricritical point as a function of the connectivity c for both types of RF distribution. Our results indicate that for the Gaussian distribution the phase transition is always second-order. For the bimodal distribution, there is indeed a tricritical point. However, its location is strongly dependent on c. The tricritical point is suppressed below a certain minimum value of connectivity. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：58 / 65

页数：8

共 50 条

[31] Avalanches and perturbation theory in the random-field Ising model
Tarjus, Gilles
Tissier, Matthieu
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2016,
[32] Characterization of kinetic coarsening in a random-field Ising model
Mandal, Pradipta Kumar
Sinha, Suman
PHYSICAL REVIEW E, 2014, 89 (04):
[33] On the phase diagram of the random field Ising model on the Bethe lattice
Bleher, PM
Ruiz, J
Zagrebnov, VA
JOURNAL OF STATISTICAL PHYSICS, 1998, 93 (1-2) : 33 - 78
[34] Thermal vestiges of avalanches in the driven random field Ising model
Yao, Liheng
Jack, Robert L.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2023, 2023 (02):
[35] The random field Ising model in a shifted bimodal probability distribution
Hadjiagapiou, Ioannis A.
Velonakis, Ioannis N.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 505 : 965 - 972
[36] Universality aspects of the trimodal random-field Ising model
Fytas, N. G.
Theodorakis, P. E.
Georgiou, I.
EUROPEAN PHYSICAL JOURNAL B, 2012, 85 (10)
[37] Large deviations in the Langevin dynamics of a random field Ising model
Ben Arous, G
Sortais, M
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2003, 105 (02) : 211 - 255
[38] Exponential decay of correlations in the two-dimensional random field Ising model
Ding, Jian
Xia, Jiaming
INVENTIONES MATHEMATICAE, 2021, 224 (03) : 999 - 1045
[39] Study of metastable states in the random-field Ising model
Magni, A
Basso, V
JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2005, 290 : 460 - 463
[40] THE TWO-DIMENSIONAL CONTINUUM RANDOM FIELD ISING MODEL
Bowditch, Adam
Sun, Rongfeng
ANNALS OF PROBABILITY, 2022, 50 (02) : 419 - 454

← 1 2 3 4 5 →