THEORY OF THE ONE-DIMENSIONAL FOREST-FIRE MODEL

被引：34

作者：

PACZUSKI, M

BAK, P

机构：

[1] Department of Physics, Brookhaven National Laboratory, Upton

来源：

PHYSICAL REVIEW E | 1993年 / 48卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.48.R3214

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：

Turbulent cascade processes are studied in terms of a one-dimensional forest-fire model. A hierarchy. of steady-state equations for the forests and the holes between them is constructed and solved within a mean-field closure scheme. The exact hole distribution function is found to be N(H)(s) = 4N/[s(s + 1)(s + 2)], where N is the number of forests.

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页码：R3214 / R3216

页数：3

相关论文

共 17 条

[1]

[Anonymous], 1941, P USSR ACAD SCI, DOI DOI 10.1098/RSPA.1991.0075

[2] EARTHQUAKES AS A SELF-ORGANIZED CRITICAL PHENOMENON [J].

BAK, P ;

TANG, C .

JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1989, 94 (B11) :15635-15637

[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] A FOREST-FIRE MODEL AND SOME THOUGHTS ON TURBULENCE [J].

BAK, P ;

CHEN, K ;

TANG, C .

PHYSICS LETTERS A, 1990, 147 (5-6) :297-300

[5] SELF-ORGANIZATION OF CELLULAR MAGNETIC-DOMAIN PATTERNS [J].

BAK, P ;

FLYVBJERG, H .

PHYSICAL REVIEW A, 1992, 45 (04) :2192-2200

[6]

BAK P, UNPUB

[7]

Bak P., 1993, RICERCHE EC, V47, P3, DOI [10.1016/0035-5054(93)90023-V, DOI 10.1016/0035-5054(93)90023-V]

[8] 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

[9] ACOUSTIC-EMISSION FROM VOLCANIC-ROCKS - AN EXAMPLE OF SELF-ORGANIZED CRITICALITY [J].

DIODATI, P ;

MARCHESONI, F ;

PIAZZA, S .

PHYSICAL REVIEW LETTERS, 1991, 67 (17) :2239-2243

[10] SELF-ORGANIZED CRITICAL FOREST-FIRE MODEL [J].

DROSSEL, B ;

SCHWABL, F .

PHYSICAL REVIEW LETTERS, 1992, 69 (11) :1629-1632