FRACTON DIMENSIONALITIES FOR FIELD-BIASED DIFFUSION-LIMITED AGGREGATION CLUSTERS

被引：2

作者：

PENG, GW ^{[1
]}

TIAN, DC ^{[1
]}

机构：

[1] ACAD SINICA, INT CTR MAT PHYS, SHENYANG 110015, PEOPLES R CHINA

来源：

PHYSICAL REVIEW B | 1991年 / 43卷 / 10期

关键词：

D O I：

10.1103/PhysRevB.43.8572

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The vibrational densities of states for a series of field-biased diffusion-limited aggregation clusters with varying fractal dimensions in two Euclidean dimensions are computed numerically by the continued-fraction recursion method. It is confirmed that the density of states is characterized by a power-law behavior in the fracton-frequency regime. The fraction dimensionalities are found to favor the Aharony-Stauffer conjecture in the present case. Numerical results also show that the fraction mode is strongly localized in the diffusion-limited aggregation systems.

引用

页码：8572 / 8575

页数：4

共 50 条

[41] DIFFUSION-LIMITED AGGREGATION IN COUPLED DIFFUSION FIELDS [J].

USAMI, Y ;

NAGATANI, T .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1990, 59 (02) :474-481

[42] DIFFUSION-LIMITED AGGREGATION WITH ACTIVE EDGE DIFFUSION [J].

RODER, H ;

BROMANN, K ;

BRUNE, H ;

KERN, K .

PHYSICAL REVIEW LETTERS, 1995, 74 (16) :3217-3220

[43] REVERSIBLE DIFFUSION-LIMITED CLUSTER AGGREGATION [J].

KOLB, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (05) :L263-L268

[44] DIFFUSION-LIMITED AGGREGATION ON PENROSE LATTICES [J].

LIU, ZY ;

LIU, YY ;

TIAN, DC ;

XIA, HB ;

JIANG, Q .

JOURNAL OF PHYSICS-CONDENSED MATTER, 1994, 6 (22) :4037-4042

[45] Fibonacci sequences in diffusion-limited aggregation [J].

Ameodo, A. ;

Argoul, F. ;

Bacry, E. ;

Muzy, J.F. ;

Tabbard, M. .

NATO ASI Series, Series B: Physics, 1993, 304

[46] DYNAMICS OF DIFFUSION-LIMITED KINETIC AGGREGATION [J].

WEITZ, DA ;

HUANG, JS ;

LIN, MY ;

SUNG, J .

PHYSICAL REVIEW LETTERS, 1984, 53 (17) :1657-1660

[47] DIFFUSION-LIMITED AGGREGATION ON THE HYPERBOLIC PLANE [J].

Eldan, Ronen .

ANNALS OF PROBABILITY, 2015, 43 (04) :2084-2118

[48] SIMPLIFIED DIFFUSION-LIMITED AGGREGATION MODELS [J].

MEAKIN, P .

PHYSICA A, 1992, 187 (1-2) :1-17

[49] Active diffusion-limited aggregation of cells [J].

Douezan, Stephane ;

Brochard-Wyart, Francoise .

SOFT MATTER, 2012, 8 (03) :784-788

[50] SIDEBRANCHING IN NOISELESS DIFFUSION-LIMITED AGGREGATION [J].

Kassner, K. .

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 1993, 1 (02) :205-228

← 1 2 3 4 5 →