Domain stability, competition, growth, and selection in globally constrained bistable systems

被引：41

作者：

Meerson, B ^{[1
]}

Sasorov, PV ^{[1
]}

机构：

[1] INST THEORET & EXPTL PHYS,MOSCOW 117259,RUSSIA

来源：

PHYSICAL REVIEW E | 1996年 / 53卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.53.3491

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 general globally constrained reaction-diffusion equation is suggested that describes formation of equilibrium domains and competition between domains in bistable media. We study the stability properties of domains (strips and perfect circlular or spherical ''drops'') in one, two, and three dimensions. The dynamics of the distribution function (DF) of many drops with respect to their radii is mapped into a mean-field model of Ostwald ripening. A family of similarity solutions for the DF is found, and the long-standing problem of selection rule for the ''correct'' asymptotic DF is solved.

引用

页码：3491 / 3494

页数：4

共 21 条

[1] NONLINEAR RADIATIVE-CONDENSATION INSTABILITY AND PATTERN-FORMATION - ONE-DIMENSIONAL DYNAMICS [J].