ANISOTROPIC LAPLACIAN GROWTHS - FROM DIFFUSION-LIMITED AGGREGATES TO DENDRITIC FRACTALS

被引：39

作者：

ARNEODO, A

ARGOUL, F

COUDER, Y

RABAUD, M

机构：

[1] ECOLE NORM SUPER, PHYS STAT LAB, F-75231 PARIS 05, FRANCE

[2] UNIV TEXAS, CTR NONLINEAR DYNAM, AUSTIN, TX 78712 USA

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 18期

关键词：

D O I：

10.1103/PhysRevLett.66.2332

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The statistical properties of anisotropic diffusion-limited aggregates (DLA) grown in a strip are investigated. The mean shape of these aggregates being related to the corresponding smooth Saffman-Taylor solutions, a finite-size scaling analysis is applied. This scaling description shows that the anisotropy-induced crossover from isotropic DLA clusters (D(F) = 5/3) to dendritic fractals (D(F) = 3/2) is actually contained in the continuous shape transition of the stable solution, from isotropic fingers of relative width lambda = 0.5 to lambda = 0 needlelike fingers.

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页码：2332 / 2335

页数：4

相关论文

共 26 条

[1] UNCOVERING THE ANALYTICAL SAFFMAN-TAYLOR FINGER IN UNSTABLE VISCOUS FINGERING AND DIFFUSION-LIMITED AGGREGATION [J].

ARNEODO, A ;

COUDER, Y ;

GRASSEAU, G ;

HAKIM, V ;

RABAUD, M .

PHYSICAL REVIEW LETTERS, 1989, 63 (09) :984-987

[2]

BENAMAR M, COMMUNICATION

[3] EXPERIMENTAL DEMONSTRATION OF THE ROLE OF ANISOTROPY IN INTERFACIAL PATTERN-FORMATION [J].

BENJACOB, E ;

GODBEY, R ;

GOLDENFELD, ND ;

KOPLIK, J ;

LEVINE, H ;

MUELLER, T ;

SANDER, LM .

PHYSICAL REVIEW LETTERS, 1985, 55 (12) :1315-1318

[4] VISCOUS FLOWS IN 2 DIMENSIONS [J].

BENSIMON, D ;

KADANOFF, LP ;

LIANG, SD ;

SHRAIMAN, BI ;

TANG, C .

REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :977-999

[5] STATISTICAL PROPERTIES OF FRACTAL DENDRITES AND ANISOTROPIC DIFFUSION-LIMITED AGGREGATES [J].

COUDER, Y ;

ARGOUL, F ;

ARNEODO, A ;

MAURER, J ;

RABAUD, M .

PHYSICAL REVIEW A, 1990, 42 (06) :3499-3503

[6] SAFFMAN-TAYLOR FINGERS WITH ANISOTROPIC SURFACE-TENSION [J].

DORSEY, AT ;

MARTIN, O .

PHYSICAL REVIEW A, 1987, 35 (09) :3989-3993

[7] GROWTH AND FORM OF NOISE-REDUCED DIFFUSION-LIMITED AGGREGATION [J].

ECKMANN, JP ;

MEAKIN, P ;

PROCACCIA, I ;

ZEITAK, R .

PHYSICAL REVIEW A, 1989, 39 (06) :3185-3195

[8] ASYMPTOTIC SHAPE OF DIFFUSION-LIMITED AGGREGATES WITH ANISOTROPY [J].

ECKMANN, JP ;

MEAKIN, P ;

PROCACCIA, I ;

ZEITAK, R .

PHYSICAL REVIEW LETTERS, 1990, 65 (01) :52-55

[9] GEOMETRICAL CROSSOVER AND SELF-SIMILARITY OF DLA AND VISCOUS FINGERING CLUSTERS [J].

FEDER, J ;

HINRICHSEN, EL ;

MALOY, KJ ;

JOSSANG, T .

PHYSICA D, 1989, 38 (1-3) :104-111

[10] MORPHOLOGY AND MICROSTRUCTURE IN ELECTROCHEMICAL DEPOSITION OF ZINC [J].

GRIER, D ;

BENJACOB, E ;

CLARKE, R ;

SANDER, LM .

PHYSICAL REVIEW LETTERS, 1986, 56 (12) :1264-1267