Dynamics and entropy in the Zhang model of self-organized criticality

被引：3
|
作者：
Kruglikov, B [1 ]
Rypdal, M [1 ]
机构：
[1] Univ Tromso, Inst Math & Stat, N-9037 Tromso, Norway
来源：
JOURNAL OF STATISTICAL PHYSICS | 2006年 / 122卷 / 05期
关键词：
sand-pile models; avalanche dynamics; skew-product systems; Lyapunov exponents; entropy; Hausdorff dimension; thermodynamic limit;
D O I：
10.1007/s10955-005-9011-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a detailed study of dynamical properties of the Zhang model, including evaluation of topological entropy and estimates for the Lyapunov exponents and the dimension of the attractor. In the thermodynamic limit the entropy goes to zero and the Lyapunov spectrum collapses.
引用
收藏
页码：975 / 1039
页数：65
相关论文
共 50 条
  • [41] Neuron weight dynamics in the SOM and Self-Organized Criticality
    Flanagan, JA
    IJCNN 2000: PROCEEDINGS OF THE IEEE-INNS-ENNS INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, VOL V, 2000, : 39 - 44
  • [42] Self-organized criticality: A new paradigm for the magnetotail dynamics
    Consolini, G
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2002, 10 (03) : 275 - 283
  • [43] Self-organized criticality and coevolution of network structure and dynamics
    Fronczak, P
    Fronczak, A
    Holyst, JA
    PHYSICAL REVIEW E, 2006, 73 (04):
  • [44] Theory of self-organized criticality for problems with extremal dynamics
    Gabrielli, A
    Cafiero, R
    Marsili, M
    Pietronero, L
    EUROPHYSICS LETTERS, 1997, 38 (07): : 491 - 496
  • [45] Theory of self-organized criticality for problems with extremal dynamics
    Gabrielli, A.
    Cafiero, R.
    Marsili, M.
    Pietronero, L.
    Europhysics Letters, 38 (07):
  • [46] An identification model for self-organized criticality of power grids based on power flow entropy
    Cao, Yijia
    Wang, Guangzeng
    Cao, Lihua
    Ding, Lijie
    Dianli Xitong Zidonghua/Automation of Electric Power Systems, 2011, 35 (07): : 1 - 6
  • [47] Paths to self-organized criticality
    Dickman, R
    Muñoz, MA
    Vespignani, A
    Zapperi, S
    BRAZILIAN JOURNAL OF PHYSICS, 2000, 30 (01) : 27 - 41
  • [48] Self-organized criticality in nanotribology
    Adler, M
    Ferrante, J
    Schilowitz, A
    Yablon, D
    Zypman, F
    MICRO- AND NANOSYSTEMS, 2004, 782 : 111 - 116
  • [49] Nonequilibrium phase transition and self-organized criticality in a sandpil model with stochastic dynamics
    Lubeck, S.
    Tadic, B.
    Usadel, K.D.
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1996, 53 (03):
  • [50] Self-organized criticality in superferromagnets
    Kondratyev, V. N.
    Blanchard, Ph
    INTERNATIONAL CONFERENCE ON MAGNETISM (ICM 2009), 2010, 200
12345