The world of the complex Ginzburg-Landau equation
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- 4 February 2002
- journal article
- research article
- Published by American Physical Society (APS) in Reviews of Modern Physics
- Vol. 74 (1) , 99-143
- https://doi.org/10.1103/revmodphys.74.99
Abstract
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.Keywords
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