SELECTION MECHANISM AND AREA DISTRIBUTION IN 2-DIMENSIONAL CELLULAR STRUCTURES

被引：23

作者：

SEGEL, D ^{[1
]}

MUKAMEL, D ^{[1
]}

KRICHEVSKY, O ^{[1
]}

STAVANS, J ^{[1
]}

机构：

[1] WEIZMANN INST SCI,DEPT ELECTR,IL-76100 REHOVOT,ISRAEL

来源：

PHYSICAL REVIEW E | 1993年 / 47卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.47.812

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Evolving random cellular structures are observed to reach a universal scaling regime. A mean-field approach to finding fixed-point distributions in cell-side number is extended to distributions for the average area of cells with a given number of sides. This approach leads to simplified equations that can be analyzed analytically and numerically. The theory's results are compared to experimental results on dynamics and distributions in soap froths and good agreement is achieved.

引用

收藏

页码：812 / 819

页数：8

相关论文

共 24 条

[1]

Armstrong R. W., 1970, ADVANCES MATERIALS R, P101

[2] ELEMENTS OF CELLULAR DOMAIN PATTERNS IN MAGNETIC GARNET-FILMS [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICAL REVIEW A, 1989, 40 (04) :2022-2037

[3] AVALANCHES AND SELF-ORGANIZATION IN CELLULAR MAGNETIC-DOMAIN PATTERNS [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICAL REVIEW LETTERS, 1990, 64 (18) :2168-2171

[4] COARSENING OF CELLULAR DOMAIN PATTERNS IN MAGNETIC GARNET-FILMS [J].

BABCOCK, KL ;

SESHADRI, R ;

WESTERVELT, RM .

PHYSICAL REVIEW A, 1990, 41 (04) :1952-1962

[5] TWO-DIMENSIONAL SOAP FROTHS AND POLYCRYSTALLINE NETWORKS - WHY ARE LARGE CELLS MANY-SIDED [J].

BEENAKKER, CWJ .

PHYSICA A, 1987, 147 (1-2) :256-267

[6] DYNAMICS OF GAS-BUBBLES IN MONOLAYERS [J].

BERGE, B ;

SIMON, AJ ;

LIBCHABER, A .

PHYSICAL REVIEW A, 1990, 41 (12) :6893-6900

[7] ANALYTICAL AND NUMERICAL STUDY OF A MODEL OF DYNAMICALLY TRIANGULATED RANDOM SURFACES [J].

BOULATOV, DV ;

KAZAKOV, VA ;

KOSTOV, IK ;

MIGDAL, AA .

NUCLEAR PHYSICS B, 1986, 275 (04) :641-686

[8] A SOLVABLE MODEL FOR COARSENING SOAP FROTHS AND OTHER DOMAIN BOUNDARY NETWORKS IN 2 DIMENSIONS [J].

FLYVBJERG, H ;

JEPPESEN, C .

PHYSICA SCRIPTA, 1991, T38 :49-54

[9] COMPUTER-SIMULATION OF TWO-DIMENSIONAL NORMAL GRAIN-GROWTH (THE GAS APPROXIMATION) [J].

FRADKOV, VE ;

UDLER, DG ;

KRIS, RE .

PHILOSOPHICAL MAGAZINE LETTERS, 1988, 58 (06) :277-283

[10] DYNAMICS OF TWO-DIMENSIONAL SOAP FROTHS [J].

GLAZIER, JA ;

GROSS, SP ;

STAVANS, J .

PHYSICAL REVIEW A, 1987, 36 (01) :306-312