SANDPILES AND RIVER NETWORKS - EXTENDED SYSTEMS WITH NONLOCAL INTERACTIONS

被引：55
作者：
PRIGOZHIN, L
机构：
[1] Department of Mathematics and Computer Science, Ben Gurion University of the Negev
来源：
PHYSICAL REVIEW E | 1994年 / 49卷 / 02期
关键词：
D O I：
10.1103/PhysRevE.49.1161
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A proposed continuum model of sandpile growth is able to demonstrate instantaneous long-range interactions and sudden collapses typical of real sandpiles. The model is shown to be equivalent to an evolutionary quasivariational inequality. In the limiting case of zero angle of repose the inequality describes water transport in a river network.
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页码：1161 / 1167
页数：7
相关论文
共 37 条
[1]  
[Anonymous], 1988, MODELLING GEOMORPHOL
[2]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[3]   SELF-ORGANIZED CRITICALITY - AN EXPLANATION OF 1/F NOISE [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW LETTERS, 1987, 59 (04) :381-384
[4]   SELF-ORGANIZATION AND ANOMALOUS DIFFUSION [J].
BANTAY, P ;
JANOSI, IM .
PHYSICA A, 1992, 185 (1-4) :11-18
[5]   SELF-ORGANIZED CRITICALITY AND SINGULAR DIFFUSION [J].
CARLSON, JM ;
CHAYES, JT ;
GRANNAN, ER ;
SWINDLE, GH .
PHYSICAL REVIEW LETTERS, 1990, 65 (20) :2547-2550
[6]   SELF-ORGANIZED CRITICALITY IN SANDPILES - NATURE OF THE CRITICAL PHENOMENON [J].
CARLSON, JM ;
CHAYES, JT ;
GRANNAN, ER ;
SWINDLE, GH .
PHYSICAL REVIEW A, 1990, 42 (04) :2467-2470
[7]   ANGLES OF REPOSE, ANGLES OF SHEARING RESISTANCE AND ANGLES OF TALUS SLOPES [J].
CARSON, MA .
EARTH SURFACE PROCESSES AND LANDFORMS, 1977, 2 (04) :363-380
[8]   FROM SELF-ORGANIZED CRITICALITY TO 1ST-ORDER-LIKE BEHAVIOR - A NEW-TYPE OF PERCOLATIVE TRANSITION [J].
CEVA, H ;
PERAZZO, RPJ .
PHYSICAL REVIEW E, 1993, 48 (01) :157-160
[9]   RELATIONS OF 1/F AND 1/F(2) POWER SPECTRA TO SELF-ORGANIZED CRITICALITY [J].
CHAU, HF ;
CHENG, KS .
PHYSICAL REVIEW A, 1992, 46 (06) :R2981-R2983
[10]   SCALING, PHASE-TRANSITIONS, AND NONUNIVERSALITY IN A SELF-ORGANIZED CRITICAL CELLULAR-AUTOMATON MODEL [J].
CHRISTENSEN, K ;
OLAMI, Z .
PHYSICAL REVIEW A, 1992, 46 (04) :1829-1838
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