High-dimensional Bak-Sneppen model

被引：20
|
作者：
De Los Rios, P [1 ]
Marsili, M
Vendruscolo, M
机构：
[1] Univ Fribourg, Inst Phys Theor, CH-1700 Fribourg, Switzerland
[2] Sch Adv Int Studies, I-34100 Trieste, Italy
[3] INFM, I-34100 Trieste, Italy
[4] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
来源：
PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 26期
关键词：
D O I：
10.1103/PhysRevLett.80.5746
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We report on extensive numerical simulations on the Bak-Sneppen model in high dimensions. We uncover a very rich behavior as a function of dimensionality. For d > 2 the avalanche cluster becomes fractal and for d greater than or equal to 4 the process becomes transient. Finally, the exponents reach their mean field values for d = d(c) = 8, which is then the upper critical dimension of the Bak-Sneppen model.
引用
收藏
页码：5746 / 5749
页数：4
相关论文
共 50 条
  • [31] Damage-spreading in the parallel Bak-Sneppen model
    Cafiero, R
    Valleriani, A
    Vega, JL
    EUROPEAN PHYSICAL JOURNAL B, 1999, 7 (04): : 505 - 508
  • [32] Levy-nearest-neighbors Bak-Sneppen model
    Cafiero, R
    De los Rios, P
    Valleriani, A
    Vega, JL
    PHYSICAL REVIEW E, 1999, 60 (02) : R1111 - R1114
  • [33] Parallel dynamics and computational complexity of the Bak-Sneppen model
    Machta, J
    Li, XN
    PHYSICA A, 2001, 300 (1-2): : 245 - 270
  • [34] Critical behavior of a stochastic anisotropic Bak-Sneppen model
    Han, Jihui
    Li, Wei
    Su, Zhu
    Deng, Webing
    EUROPEAN PHYSICAL JOURNAL B, 2017, 90 (11):
  • [35] Bak-sneppen biological evolutionary model on complex networks
    Wu, Jia
    Fan, Wentao
    Liu, Weiping
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 78 - 81
  • [36] Interaction strength and a generalized Bak-Sneppen evolution model
    Li, W
    Cai, X
    CHINESE PHYSICS LETTERS, 2002, 19 (10) : 1420 - 1423
  • [37] Critical thresholds and the limit distribution in the Bak-Sneppen model
    Meester, R
    Znamenski, D
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 246 (01) : 63 - 86
  • [38] Temperature scaling, glassiness and stationarity in the Bak-Sneppen model
    Head, D
    EUROPEAN PHYSICAL JOURNAL B, 2000, 17 (02): : 289 - 294
  • [39] Levy-nearest-neighbors Bak-Sneppen model
    Phys Rev E., 2 A (R1111):
  • [40] Asymmetric dynamics and critical behavior in the Bak-Sneppen model
    Garcia, GJM
    Dickman, R
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 342 (3-4) : 516 - 528
12345