Synchronization and Spin-Flop Transitions for a Mean-Field XY Model in Random Field

被引:0
|
作者
Francesca Collet
Wioletta Ruszel
机构
[1] Alma Mater Studiorum Università di Bologna,Dipartimento di Matematica
[2] Delft University of Technology,undefined
来源
关键词
Disordered models; Spin-flop transitions; XY models; Interacting particle systems; Mean-field interaction; Phase transition; Reversible Markov processes;
D O I
暂无
中图分类号
学科分类号
摘要
We characterize the phase space for the infinite volume limit of a ferromagnetic mean-field XY model in a random field pointing in one direction with two symmetric values. We determine the stationary solutions and detect possible phase transitions in the interaction strength for fixed random field intensity. We show that at low temperature magnetic ordering appears perpendicularly to the field. The latter situation corresponds to a spin-flop transition.
引用
收藏
页码:645 / 666
页数:21
相关论文
共 50 条
  • [1] Synchronization and Spin-Flop Transitions for a Mean-Field XY Model in Random Field
    Collet, Francesca
    Ruszel, Wioletta
    [J]. JOURNAL OF STATISTICAL PHYSICS, 2016, 164 (03) : 645 - 666
  • [2] MEAN-FIELD THEORY CALCULATIONS OF THE SPIN-FLOP PHASE-TRANSITION IN ORTHORHOMBIC ANTIFERROMAGNETS
    JONES, DH
    PANKHURST, QA
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1987, 20 (16): : 2453 - 2463
  • [3] Optimized mean-field theory for the three-dimensional XY spin model
    Gouvea, ME
    Pires, AST
    [J]. PHYSICAL REVIEW B, 1996, 54 (21): : 14907 - 14909
  • [4] Symmetries of a mean-field spin model
    Paskauskas, Rytis
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (32)
  • [5] RANDOM-FIELD EFFECTS IN DISORDERED SPIN-FLOP ANTI-FERROMAGNETS
    BRAY, AJ
    [J]. PHYSICS LETTERS A, 1979, 74 (1-2) : 129 - 131
  • [6] Antiferromagnetic hysteresis above the spin-flop field
    Grzybowski, M. J.
    Schippers, C. F.
    Gomonay, O.
    Rubi, K.
    Bal, M. E.
    Zeitler, U.
    Koziol-Rachwal, A.
    Szpytma, M.
    Janus, W.
    Kurowska, B.
    Kret, S.
    Gryglas-Borysiewicz, M.
    Koopmans, B.
    Swagten, H. J. M.
    [J]. PHYSICAL REVIEW B, 2023, 107 (06)
  • [7] Phase transitions of the mean-field Potts glass model in a field
    Yokota, T
    [J]. PHYSICAL REVIEW B, 2004, 70 (17): : 1 - 14
  • [8] ABSORPTION OF SOUND IN AN ANTIFERROMAGNET IN VICINITY OF SPIN-FLOP FIELD
    BARYAKHTAR, VG
    IVANOV, BA
    [J]. ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1974, 66 (05): : 1844 - 1846
  • [9] Mean-field theory and synchronization in random recurrent neural networks
    Dauce, E
    Moynot, O
    Pinaud, O
    Samuelides, M
    [J]. NEURAL PROCESSING LETTERS, 2001, 14 (02) : 115 - 126
  • [10] Mean-field Theory and Synchronization in Random Recurrent Neural Networks
    Emmanuel Dauce
    Olivier Moynot
    Olivier Pinaud
    Manuel Samuelides
    [J]. Neural Processing Letters, 2001, 14 : 115 - 126