Dynamical features in coarsening soap froth: Topological approach

被引:12
作者
Levitan, B
Domany, E
机构
[1] Dept. of Physics of Complex Systems, Weizmann Institute of Science, Rehovot
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 1996年 / 10卷 / 28期
关键词
D O I
10.1142/S0217979296002063
中图分类号
O59 [应用物理学];
学科分类号
摘要
We summarize some recent developments in approximate descriptions of soap froth evolution in 2D. The questions addressed concern temporal correlations in the scaling state, characterization of transient behavior and evolution from very special initial states. We observed that for these delicate issues mean field theory fails; moreover, we found that widely accepted topological simulation methods also disagree significantly with experiments. We identified the source of these discrepancies in the manner the models select the topological rearrangement that follows a bubble's disappearance. Properly modified topological simulations do yield agreement with experiments. Our analysis allows identification of the manner in which different aspects of the microscopic dynamics affect the long time behavior of the system.
引用
收藏
页码:3765 / 3805
页数:41
相关论文
共 55 条
[31]   The correlation between cell division and the shapes and sizes of prismatic cells in the epidermis of Cucumis [J].
Lewis, FT .
ANATOMICAL RECORD, 1928, 38 (03) :341-376
[32]   SOAP-BUBBLE GROWTH [J].
MARDER, M .
PHYSICAL REVIEW A, 1987, 36 (01) :438-440
[33]   THE STATISTICAL SELF-SIMILARITY HYPOTHESIS IN GRAIN-GROWTH AND PARTICLE COARSENING [J].
MULLINS, WW .
JOURNAL OF APPLIED PHYSICS, 1986, 59 (04) :1341-1349
[34]   ON IDEALIZED 2 DIMENSIONAL GRAIN-GROWTH [J].
MULLINS, WW .
SCRIPTA METALLURGICA, 1988, 22 (09) :1441-1444
[35]   SCALING BEHAVIOR OF 2-DIMENSIONAL DOMAIN GROWTH - COMPUTER-SIMULATION OF VERTEX MODELS [J].
NAKASHIMA, K ;
NAGAI, T ;
KAWASAKI, K .
JOURNAL OF STATISTICAL PHYSICS, 1989, 57 (3-4) :759-787
[36]  
OCELLI R, 1983, PHYSIQUE LETT, V44, pL567
[37]   ENTROPIC PREDICTIONS FOR CELLULAR NETWORKS [J].
PESHKIN, MA ;
STRANDBURG, KJ ;
RIVIER, N .
PHYSICAL REVIEW LETTERS, 1991, 67 (13) :1803-1806
[38]   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
[39]   ON THE STRUCTURE OF RANDOM TISSUES OR FROTHS, AND THEIR EVOLUTION [J].
RIVIER, N .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1983, 47 (05) :L45-L49
[40]  
RIVIER N, 1982, J PHYS A, V15, pL14