THE EFFECTS OF PLATEAU BORDERS IN THE 2-DIMENSIONAL SOAP FROTH .1. DECORATION LEMMA AND DIFFUSION THEOREM

被引:69
作者
BOLTON, F
WEAIRE, D
机构
[1] Department of Physics, Trinity College
来源
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES | 1991年 / 63卷 / 04期
关键词
D O I
10.1080/13642819108205538
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We present two new theoretical results which offer insights into the role of finite Plateau borders at the vertices of the two-dimensional soap froth. They offer immediate explanations of recently reported anomalies in the measured vertex angles and rates of growth of individual cells for experimental samples. These are seen to be closely related. Thus Plateau borders modify the properties of the froth significantly even when they occupy a very small fraction of total area.
引用
收藏
页码:795 / 809
页数:15
相关论文
共 16 条
[1]  
Aboav D. A., 1970, Metallography, V3, P383, DOI 10.1016/0026-0800(70)90038-8
[2]   ARRANGEMENT OF CELLS IN A NET [J].
ABOAV, DA .
METALLOGRAPHY, 1980, 13 (01) :43-58
[3]   RIGIDITY LOSS TRANSITION IN A DISORDERED 2D-FROTH [J].
BOLTON, F ;
WEAIRE, D .
PHYSICAL REVIEW LETTERS, 1990, 65 (27) :3449-3451
[4]  
FU TL, 1987, THESIS TRINITY COLLE
[5]   DYNAMICS OF TWO-DIMENSIONAL SOAP FROTHS [J].
GLAZIER, JA ;
GROSS, SP ;
STAVANS, J .
PHYSICAL REVIEW A, 1987, 36 (01) :306-312
[6]   NONIDEAL EFFECTS IN THE TWO-DIMENSIONAL SOAP FROTH [J].
GLAZIER, JA ;
STAVANS, J .
PHYSICAL REVIEW A, 1989, 40 (12) :7398-7401
[7]   FOAM FLOWS [J].
KRAYNIK, AM .
ANNUAL REVIEW OF FLUID MECHANICS, 1988, 20 :325-357
[9]   STATISTICAL CRYSTALLOGRAPHY - STRUCTURE OF RANDOM CELLULAR NETWORKS [J].
RIVIER, N .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1985, 52 (03) :795-819
[10]   SOAP FROTH REVISITED - DYNAMIC SCALING IN THE TWO-DIMENSIONAL FROTH [J].
STAVANS, J ;
GLAZIER, JA .
PHYSICAL REVIEW LETTERS, 1989, 62 (11) :1318-1321