Avalanche merging and continuous flow in a sandpile model

被引:42
作者
Corral, A
Paczuski, M
机构
[1] Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
[2] Univ Houston, Dept Phys, Houston, TX 77204 USA
关键词
D O I
10.1103/PhysRevLett.83.572
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between the regimes. The width of the active zone diverges with system size in the avalanche regime but becomes very narrow for continuous flow. The change of the mean slope. Delta z, on increasing the driving rate, r, obeys Delta z similar to r(1/theta). It has a nontrivial scaling behavior in the continuous flow phase with an exponent theta given, paradoxically, only in terms of exponents characterizing the avalanches theta = (1 + z - D)/(3 - D).
引用
收藏
页码:572 / 575
页数:4
相关论文
共 15 条
  • [1] SELF-ORGANIZED CRITICALITY
    BAK, P
    TANG, C
    WIESENFELD, K
    [J]. PHYSICAL REVIEW A, 1988, 38 (01): : 364 - 374
  • [2] SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE
    BAK, P
    TANG, C
    WIESENFELD, K
    [J]. PHYSICAL REVIEW LETTERS, 1987, 59 (04) : 381 - 384
  • [3] Bak P. P., 1996, NATURE WORKS
  • [4] Long-tailed trapping times and Levy flights in a self-organized critical granular system
    Boguna, M
    Corral, A
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (26) : 4950 - 4953
  • [5] Tracer dispersion in a self-organized critical system
    Christensen, K
    Corral, A
    Frette, V
    Feder, J
    Jossang, T
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (01) : 107 - 110
  • [6] Avalanche dynamics in a pile of rice
    Frette, V
    Christensen, K
    MaltheSorenssen, A
    Feder, J
    Jossang, T
    Meakin, P
    [J]. NATURE, 1996, 379 (6560) : 49 - 52
  • [7] SOME MORE SANDPILES
    GRASSBERGER, P
    MANNA, SS
    [J]. JOURNAL DE PHYSIQUE, 1990, 51 (11): : 1077 - 1098
  • [8] AVALANCHES, HYDRODYNAMICS, AND DISCHARGE EVENTS IN MODELS OF SANDPILES
    HWA, T
    KARDAR, M
    [J]. PHYSICAL REVIEW A, 1992, 45 (10): : 7002 - 7023
  • [9] SCALING AND UNIVERSALITY IN AVALANCHES
    KADANOFF, LP
    NAGEL, SR
    WU, L
    ZHOU, SM
    [J]. PHYSICAL REVIEW A, 1989, 39 (12): : 6524 - 6537
  • [10] INTERFACE DEPINNING IN A DISORDERED MEDIUM - NUMERICAL RESULTS
    LESCHHORN, H
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1993, 195 (3-4) : 324 - 335