The world of the complex Ginzburg-Landau equation

Igor S. Aranson, Lorenz Kramer

Research output: Contribution to journalArticle

1157 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)99-143
Number of pages45
JournalReviews of Modern Physics
Volume74
Issue number1
DOIs
StatePublished - Aug 26 2002

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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