DOMAIN FORMATION DUE TO OSTWALD RIPENING IN BISTABLE SYSTEMS FAR FROM EQUILIBRIUM

被引：45

作者：

SCHIMANSKYGEIER, L ^{[1
]}

ZULICKE, C ^{[1
]}

SCHOLL, E ^{[1
]}

机构：

[1] TECH UNIV BERLIN, INST THEORET PHYS, W-1000 BERLIN 12, GERMANY

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1991年 / 84卷 / 03期

关键词：

D O I：

10.1007/BF01314019

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We develop growth rates for d-dimensional domains in bistable reaction-diffusion systems. The growth of the domain is restrained by an inhibitory nonlocal interaction and leads to stable stationary inhomogeneous states as known from many applications in nonequilibrium systems. The mathematical analysis is quite similar to problems of Ostwald ripening in van-der-Waals gases though the physical mechanism is different. We show that the nonlocal interaction leads to a competition between several domains. Finally our approach is applied to optical bistability, thermokinetic systems and to nonlinear semi-conductors.

引用

页码：433 / 441

页数：9

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