FRACTAL STRUCTURES AS LEAST ENERGY PATTERNS - THE CASE OF RIVER NETWORKS

被引：102

作者：

RODRIGUEZ-ITURBE, I

RINALDO, A

RIGON, R

BRAS, RL

IJJASZVASQUEZ, E

MARANI, A

机构：

[1] MIT, RALPH M PARSONS LAB, CAMBRIDGE, MA 02139 USA

[2] UNIV TRENTO, DIPARTIMENTO INGN CIVILE & AMBIENTALE, I-38050 TRENT, ITALY

[3] UNIV VENICE, DIPARTIMENTO SCI AMBIENTALI, VENICE, ITALY

来源：

GEOPHYSICAL RESEARCH LETTERS | 1992年 / 19卷 / 09期

关键词：

D O I：

10.1029/92GL00938

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

Natural drainage networks, like river basins, exhibit fractal and multifractal properties. This work shows that these properties evolve from arbitrary initial conditions by minimizing the local and global rates of energy expenditure in the system. This suggests that many fractal structures may arise as a natural consequence of least energy dissipation requirements.

引用

页码：889 / 892

页数：4

共 10 条

[1] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW A, 1988, 38 (01) :364-374

[2] NEW OPTIMIZATION METHODS FROM PHYSICS AND BIOLOGY [J].

BOUNDS, DG .

NATURE, 1987, 329 (6136) :215-219

[3] DIRECT DETERMINATION OF THE F(ALPHA) SINGULARITY SPECTRUM [J].

CHHABRA, A ;

JENSEN, RV .

PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1327-1330

[4]

ITURBE R, 1992, WATER RESOUR RES, V28, P1089

[5]

ITURBE R, 1992, WATER RESOUR RES, V28, P1095

[6]

Mandelbrot B.B., 1983, AMJPHYS

[7] A NOTE ON FRACTAL CHANNEL NETWORKS [J].

MARANI, A ;

RIGON, R ;

RINALDO, A .

WATER RESOURCES RESEARCH, 1991, 27 (12) :3041-3049

[8] STATISTICAL LAW OF STREAM NUMBERS [J].

SHREVE, RL .

JOURNAL OF GEOLOGY, 1966, 74 (01) :17-&

[9]

STEVENS PS, 1974, PATTENS NATURE

[10] THE FRACTAL NATURE OF RIVER NETWORKS [J].

TARBOTON, DG ;

BRAS, RL ;

RODRIGUEZ-ITURBE, I .

WATER RESOURCES RESEARCH, 1988, 24 (08) :1317-1322

← 1 →