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.
ASJC Scopus subject areas
- Physics and Astronomy(all)