A Curie-Weiss Model with Dissipation

被引:19
作者
Pra, Paolo Dai [1 ]
Fischer, Markus [1 ]
Regoli, Daniele [1 ]
机构
[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy
关键词
Mean field models; Random potential; Noise-induced periodicity; UNIQUENESS;
D O I
10.1007/s10955-013-0756-2
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider stochastic dynamics for a spin system with mean field interaction, in which the interaction potential is subject to noisy and dissipative stochastic evolution. We show that, in the thermodynamic limit and at sufficiently low temperature, the magnetization of the system has a time periodic behavior, despite of the fact that no periodic force is applied.
引用
收藏
页码:37 / 53
页数:17
相关论文
共 18 条
  • [1] [Anonymous], 2010, NONLINEAR MARKOV PRO
  • [2] BUDHIRAJA A, 2013, ESAIM-PROBAB STAT, DOI DOI 10.1051/PS/2012014
  • [3] A note on existence and uniqueness of limit cycles for Lienard systems
    Carletti, T
    Villari, G
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 307 (02) : 763 - 773
  • [4] IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE
    FITZHUGH, R
    [J]. BIOPHYSICAL JOURNAL, 1961, 1 (06) : 445 - &
  • [5] Modeling a synthetic multicellular clock: Repressilators coupled by quorum sensing
    Garcia-Ojalvo, J
    Elowitz, MB
    Strogatz, SH
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2004, 101 (30) : 10955 - 10960
  • [6] TRANSITIONS IN ACTIVE ROTATOR SYSTEMS: INVARIANT HYPERBOLIC MANIFOLD APPROACH
    Giacomin, Giambattista
    Pakdaman, Khashayar
    Pellegrin, Xavier
    Poquet, Christophe
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2012, 44 (06) : 4165 - 4194
  • [7] DEFAULT CLUSTERING IN LARGE PORTFOLIOS: TYPICAL EVENTS
    Giesecke, Kay
    Spiliopoulos, Konstantinos
    Sowers, Richard B.
    [J]. ANNALS OF APPLIED PROBABILITY, 2013, 23 (01) : 348 - 385
  • [8] Gottlieb AD, 1998, Markov transitions and the propagation of chaos
  • [9] MCKEAN-VLASOV ITO-SKOROHOD EQUATIONS, AND NONLINEAR DIFFUSIONS WITH DISCRETE JUMP SETS
    GRAHAM, C
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1992, 40 (01) : 69 - 82
  • [10] Effects of noise in excitable systems
    Lindner, B
    García-Ojalvo, J
    Neiman, A
    Schimansky-Geier, L
    [J]. PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2004, 392 (06): : 321 - 424