UNIVERSALITY AND PATTERN SELECTION IN 2-DIMENSIONAL CELLULAR STRUCTURES

被引:55
作者
STAVANS, J [1 ]
DOMANY, E [1 ]
MUKAMEL, D [1 ]
机构
[1] WEIZMANN INST SCI,DEPT NUCL PHYS,IL-76100 REHOVOT,ISRAEL
来源
EUROPHYSICS LETTERS | 1991年 / 15卷 / 05期
关键词
NONEQUILIBRIUM THERMODYNAMICS; IRREVERSIBLE PROCESSES; FLUID SURFACES AND INTERFACES WITH FLUIDS (INC SURFACE TENSION; CAPILLARITY; WETTING AND RELATED PHENOMENA);
D O I
10.1209/0295-5075/15/5/002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The time evolution of a wide variety of physical systems exhibiting two-dimensional cellular structures has recently been studied and found to lead to a universal distribution x(l) of the number of sides, l, of the cells. A simple model for the evolution of these structures is presented and analysed. The model exhibits a one-parameter family of fixed-point distributions x(l)*(sigma). Within this model, universality is maintained by a mechanism in which a particular marginally stable fixed point is selected. The predictions of the model compare well with experimental observations in soap froths.
引用
收藏
页码:479 / 484
页数:6
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