The world of the complex Ginzburg-Landau equation

被引：1506
作者：
Aranson, IS
Kramer, L
机构：
[1] Argonne Natl Lab, Div Mat Sci, Argonne, IL 60439 USA
[2] Univ Bayreuth, Inst Phys, D-95440 Bayreuth, Germany
来源：
REVIEWS OF MODERN PHYSICS | 2002年 / 74卷 / 01期
关键词：
D O I：
10.1103/RevModPhys.74.99
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear equations in the physics community. It describes a vast variety of phenomena from nonlinear waves to second-order phase transitions, from superconductivity, superfluidity, and Bose-Einstein condensation to liquid crystals and strings in field theory. The authors give an overview of various phenomena described by the complex Ginzburg-Landau equation in one, two, and three dimensions from the point of view of condensed-matter physicists. Their aim is to study the relevant solutions in order to gain insight into nonequilibrium phenomena in spatially extended systems.
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页码：99 / 143
页数：45
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