Oriented graph structure of local energy minima in the random-field Ising model

被引：4
|
作者：
Bortolotti, Paolo [1 ,2 ]
Basso, Vittorio [2 ]
Magni, Alessandro [2 ]
Bertotti, Giorgio [2 ]
机构：
[1] Politecn Torino, I-10129 Turin, Italy
[2] Ist Nazl Ric Metrol, I-10135 Turin, Italy
来源：
PHYSICA B-CONDENSED MATTER | 2008年 / 403卷 / 2-3期
关键词：
random-field Ising model; hysteresis modeling; oriented graph;
D O I：
10.1016/j.physb.2007.08.059
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
In this paper we investigate the structure of the disordered energy landscape of the RFIM with field-driven single-spin-flip dynamics. We show that local energy minima are partitioned into equivalence classes (basins) organized in a binary oriented graph. We discuss two algorithms by which one can explore the oriented graph structure. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：398 / 401
页数：4
相关论文
共 50 条
  • [1] Fluctuations in the random-field Ising model
    Yokota, T
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1998, 10 (23) : 5179 - 5186
  • [2] Critical behavior of the random-field Ising model
    Gofman, M
    Adler, J
    Aharony, A
    Harris, AB
    Schwartz, M
    [J]. PHYSICAL REVIEW B, 1996, 53 (10): : 6362 - 6384
  • [3] THE RANDOM-FIELD ISING-MODEL - A FREE-ENERGY STUDY
    VILFAN, I
    [J]. PHYSICA SCRIPTA, 1987, T19B : 585 - 588
  • [4] Organization and energy properties of metastable states for the random-field Ising model
    Bortolotti, Paolo
    Basso, Vittorio
    Magni, Alessandro
    Bertotti, Giorgio
    [J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2010, 322 (9-12) : 1402 - 1404
  • [5] MULTICRITICAL POINTS IN AN ISING RANDOM-FIELD MODEL
    KAUFMAN, M
    KLUNZINGER, PE
    KHURANA, A
    [J]. PHYSICAL REVIEW B, 1986, 34 (07): : 4766 - 4770
  • [6] Dynamical properties of random-field Ising model
    Sinha, Suman
    Mandal, Pradipta Kumar
    [J]. PHYSICAL REVIEW E, 2013, 87 (02):
  • [7] Critical aspects of the random-field Ising model
    Nikolaos G. Fytas
    Panagiotis E. Theodorakis
    Ioannis Georgiou
    Ioannis Lelidis
    [J]. The European Physical Journal B, 2013, 86
  • [8] Random-field Ising model in and out of equilibrium
    Liu, Y.
    Dahmen, K. A.
    [J]. EPL, 2009, 86 (05)
  • [9] Fluctuations and criticality in the random-field Ising model
    Theodorakis, Panagiotis E.
    Georgiou, Ioannis
    Fytas, Nikolaos G.
    [J]. PHYSICAL REVIEW E, 2013, 87 (03):
  • [10] Critical aspects of the random-field Ising model
    Fytas, Nikolaos G.
    Theodorakis, Panagiotis E.
    Georgiou, Ioannis
    Lelidis, Ioannis
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (06):
12345