Bubble size-topology correlations in two-dimensional foams derived from surface energy minimization

被引:16
作者
Fortes, MA
Teixeira, PIC
机构
[1] Inst Super Tecn, Dept Mat Engn, P-1049001 Lisbon, Portugal
[2] Inst Super Tecn, Inst Ciencia & Engn Mat & Superficies, P-1049001 Lisbon, Portugal
[3] Univ Catolica Portuguesa, Fac Engn, P-2635631 Rio De Mouro, Portugal
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2003年 / 36卷 / 19期
关键词
D O I
10.1088/0305-4470/36/19/301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We. obtain the number fractions x(i) the average areas <A>(i) and them average perimeters <P>(i) of i- sided bubbles in a two-dimensional foam by minimizing the total surface energy and assuming a simple relation between <P>(i) and <rootA>(i). Calculations for linear and Weibull distributions of the square root of the bubble area yield large deviations, particularly at small i, from Lewis's and Desch's laws, which linearly relate <A>(i) and <P>(i), respectively, to i. Nevertheless, we find good agreement with experimental results for x(i), <P>(i) and <A>(i) in foams.
引用
收藏
页码:5161 / 5173
页数:13
相关论文
共 38 条
[31]  
Press W.H., 1987, Numerical Recipes: The Art of Scientific Computing
[32]   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
[33]   ON THE CORRELATION BETWEEN SIZES AND SHAPES OF CELLS IN EPITHELIAL MOSAICS [J].
RIVIER, N ;
LISSOWSKI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1982, 15 (03) :L143-L148
[34]   UNIVERSALITY AND PATTERN SELECTION IN 2-DIMENSIONAL CELLULAR STRUCTURES [J].
STAVANS, J ;
DOMANY, E ;
MUKAMEL, D .
EUROPHYSICS LETTERS, 1991, 15 (05) :479-484
[35]   LEWIS' LAW VERSUS FELTHAM'S LAW IN SOAP FROTH [J].
SZETO, KY ;
TAM, WY .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1995, 221 (1-3) :256-262
[36]  
Weaire D., 1974, Metallography, V7, P157, DOI 10.1016/0026-0800(74)90004-4
[37]   SOAP, CELLS AND STATISTICS - RANDOM PATTERNS IN 2 DIMENSIONS [J].
WEAIRE, D ;
RIVIER, N .
CONTEMPORARY PHYSICS, 1984, 25 (01) :59-99
[38]  
WEIBULL W, 1951, J APPL MECH-T ASME, V18, P293