Gradient expansion of the nonequilibrium potential for the supercritical Ginzburg-Landau equation

O. Descalzi, R. Graham

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Abstract

A gradient expansion is used to obtain a Lyapunov functional (the nonequilibrium potential) for the supercritical complex Ginzburg-Landau equation. The method simplifies the task of solving the Hamilton-Jacobi equation associated with the steady-state distribution of the stochastic Ginzburg-Landau equation with weak noise and it confirms and extends results obtained previously by a more tedious calculation. The method opens the possibility for studying other situations not yet explored.
Original languageAmerican English
Pages (from-to)84-90
Number of pages7
JournalPhysics Letters A
Volume170
Issue number2
DOIs
StatePublished - 26 Oct 1992
Externally publishedYes

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