MULTIFRACTALITY OF SPACE-FILLING BEARINGS AND APOLLONIAN PACKINGS

被引：18

作者：

MANNA, SS ^{[1
]}

VICSEK, T ^{[1
]}

机构：

[1] EOTVOS LORAND UNIV, DEPT ATOM PHYS, H-1445 BUDAPEST, HUNGARY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1991年 / 64卷 / 3-4期

关键词：

FRACTALS; MULTIFRACTALS; APOLLONIAN PACKING; SPACE-FILLING BEARINGS;

D O I：

10.1007/BF01048305

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the structure of space-filling bearings (SFB) and Apollonian packings (AP) by determining the scaling behavior of the density distribution of points where the circles touch each other. Application of the sand box method to the average of the qth power of the number of touching points reveals the multifractal aspects of the structure of SFB and AP.

引用

页码：525 / 539

页数：15

共 19 条

[1]

BATCHELOR GK, 1982, THEORY HOMOGENEOUS T

[2] RESIDUAL SET DIMENSION OF APOLLONIAN PACKING [J].

BOYD, DW .

MATHEMATIKA, 1973, 20 (40) :170-174

[3]

FRISCH U, 1985, TURBULENCE PREDICTAB

[4] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[5] SPACE-FILLING BEARINGS [J].

HERRMANN, HJ ;

MANTICA, G ;

BESSIS, D .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3223-3226

[6]

HERRMANN HJ, 1990, NATO ADV SCI I E-APP, V188, P108

[7]

HUBER G, 1990, NATO ADV SCI I E-APP, V188, P322

[8]

HULIN JP, 1990, HYDRODYNAMICS DISPER

[9]

Mandelbrot B. B., 1982, FRACTAL GEOMETRY NAT, P1

[10] INTERMITTENT TURBULENCE IN SELF-SIMILAR CASCADES - DIVERGENCE OF HIGH MOMENTS AND DIMENSION OF CARRIER [J].

MANDELBROT, BB .

JOURNAL OF FLUID MECHANICS, 1974, 62 (JAN23) :331-358

← 1 2 →