Potential for the complex ginzburg-landau equation

R. Graham, T. Tel

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A generalized thermodynamic potential is derived for spatially extended patternforming nonequilibrium systems whose order parameter obeys the complex Ginzburg-Landau equation in one spatial dimension. The real potential, generalizing the Ginzburg-Landau free energy, is shown to describe typical nonequilibrium phenomena like the Newell-Kuramoto and the Eckhaus-Benjamin-Feir instabilities. It is pointed out that the extremizing order parameter field may exhibit chaotic behaviour. Potential barriers between coexisting plane-wave attractors are calculated.

Original languageEnglish
Pages (from-to)715-720
Number of pages6
JournalEPL
Volume13
Issue number8
DOIs
Publication statusPublished - Dec 15 1990

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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