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

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

19 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	84-90
Número de páginas	7
Publicación	Physics Letters, Section A: General, Atomic and Solid State Physics
Volumen	170
N.º	2
DOI	https://doi.org/10.1016/0375-9601(92)90777-J
Estado	Publicada - 26 oct. 1992

Palabras clave

Ginzburg-Landau equation

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10.1016/0375-9601(92)90777-J

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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.",

keywords = "Ginzburg-Landau equation",

author = "O. Descalzi and R. Graham",

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

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AU - Descalzi, O.

AU - Graham, R.

N1 - 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.

PY - 1992/10/26

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

U2 - 10.1016/0375-9601(92)90777-J

DO - 10.1016/0375-9601(92)90777-J

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AN - SCOPUS:0002251215

SN - 0375-9601

VL - 170

SP - 84

EP - 90

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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