Complex fractal dimensions describe the hierarchical structure of diffusion-limited-aggregate clusters

被引：75

作者：

Sornette, D

Johansen, A

Arneodo, A

Muzy, JF

Saleur, H

机构：

[1] CTR RECH PAUL PASCAL,F-33600 PESSAC,FRANCE

[2] UNIV SO CALIF,DEPT PHYS,LOS ANGELES,CA 90089

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 02期

关键词：

D O I：

10.1103/PhysRevLett.76.251

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze large diffusion-limited aggregates and uncover a discrete scaling invariance in their inner structure, which can be quantified by the introduction of a set of complex fractal dimensions. We provide a theoretical framework and prediction of their values based on renormalization group theory and a previous wavelet analysis.

引用

收藏

页码：251 / 254

页数：4

相关论文

共 21 条

[1] CRITICAL PROPERTIES OF RANDOM AND CONSTRAINED DIPOLAR MAGNETS [J].

AHARONY, A .

PHYSICAL REVIEW B, 1975, 12 (03) :1049-1056

[2]

ANIFRANI JC, 1995, J PHYS I, V5, P631, DOI 10.1051/jp1:1995156

[3] BEYOND CLASSICAL MULTIFRACTAL ANALYSIS USING WAVELETS: UNCOVERING A MULTIPLICATIVE PROCESS HIDDEN IN THE GEOMETRICAL COMPLEXITY OF DIFFUSION LIMITED AGGREGATES [J].

Arneodo, A. ;

Argoul, F. ;

Muzy, J. F. ;

Tabard, M. ;

Bacry, E. .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (03) :629-649

[4] STRUCTURAL 5-FOLD SYMMETRY IN THE FRACTAL MORPHOLOGY OF DIFFUSION-LIMITED AGGREGATES [J].

ARNEODO, A ;

ARGOUL, F ;

MUZY, JF ;

TABARD, M .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1992, 188 (1-3) :217-242

[5] GOLDEN MEAN ARITHMETIC IN THE FRACTAL BRANCHING OF DIFFUSION-LIMITED AGGREGATES [J].

ARNEODO, A ;

ARGOUL, F ;

BACRY, E ;

MUZY, JF ;

TABARD, M .

PHYSICAL REVIEW LETTERS, 1992, 68 (23) :3456-3459

[6] UNCOVERING FIBONACCI SEQUENCES IN THE FRACTAL MORPHOLOGY OF DIFFUSION-LIMITED AGGREGATES [J].

ARNEODO, A ;

ARGOUL, F ;

MUZY, JF ;

TABARD, M .

PHYSICS LETTERS A, 1992, 171 (1-2) :31-36

[7]

BERNASCONI J, 1983, J PHYS A, V15, pL977

[8] MELLIN TRANSFORMS OF CORRELATION INTEGRALS AND GENERALIZED DIMENSION OF STRANGE SETS [J].

BESSIS, D ;

FOURNIER, JD ;

SERVIZI, G ;

TURCHETTI, G ;

VAIENTI, S .

PHYSICAL REVIEW A, 1987, 36 (02) :920-928

[9] MEAN FIELD AND EPSILON-EXPANSION STUDY OF SPIN-GLASSES [J].

CHEN, JH ;

LUBENSKY, TC .

PHYSICAL REVIEW B, 1977, 16 (05) :2106-2114

[10] OSCILLATORY CRITICAL AMPLITUDES IN HIERARCHICAL-MODELS [J].

DERRIDA, B ;

ITZYKSON, C ;

LUCK, JM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 94 (01) :115-132