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

O. Descalzi; R. Graham

doi:10.1016/0375-9601(92)90777-J

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

O. Descalzi^*
, R. Graham

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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 language	English
Pages (from-to)	84-90
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	170
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(92)90777-J
State	Published - 26 Oct 1992

Bibliographical note

Funding Information:
WewouldliketothankT.TelandE.Tirapeguiforusefuldiscussions. ThisworkwassupportedbytheDeutsche Forschungsgemeinschaft through the Sonderforschungsbereich 237 Unordnung und grol3e Fluktuationen. One of us (O.D.) wishes to thank the Deutscher Akademischer Austauschsdienst for financial support.

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title = "Gradient expansion of the nonequilibrium potential for the supercritical Ginzburg-Landau equation",

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.",

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doi = "10.1016/0375-9601(92)90777-J",

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AU - Graham, R.

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Y1 - 1992/10/26

N2 - 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.

AB - 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.

KW - Ginzburg-Landau equation

UR - https://www.scopus.com/pages/publications/0002251215

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2

ER -

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

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