Towards a theory of self-organization phenomena in bubble-liquid mixtures

被引：65
|
作者：
Akhatov, I [1 ]
Parlitz, U [1 ]
Lauterborn, W [1 ]
机构：
[1] UNIV GOTTINGEN,DRITTES PHYS INST,D-37073 GOTTINGEN,GERMANY
来源：
PHYSICAL REVIEW E | 1996年 / 54卷 / 05期
关键词：
D O I：
10.1103/PhysRevE.54.4990
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：
A model for the theoretical description of one- and two-dimensional structure formation in bubble-liquid mixtures is developed. It consists of a coupled system of partial differential equations describing the spatiotemporal evolution of the sound field amplitude and the redistribution of bubbles in a liquid. A linear stability analysis of the (unstable) uniform bubble distribution is presented. Numerical simulations of the evolution of the sound field amplitude and the bubble concentration show self-organization phenomena. The relation between this system and the nonlinear Schrodinger equation is discussed.
引用
收藏
页码：4990 / 5003
页数：14
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