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

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

17 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	American English
Pages (from-to)	84-90
Number of pages	7
Journal	Physics Letters A
Volume	170
Issue number	2
DOIs	https://doi.org/10.1016/0375-9601(92)90777-J
State	Published - 26 Oct 1992
Externally published	Yes

Access to Document

10.1016/0375-9601(92)90777-J

Cite this

@article{cf39b7ebecb8498cb275edd7b56005b1,

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.",

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

year = "1992",

month = oct,

day = "26",

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

language = "American English",

volume = "170",

pages = "84--90",

journal = "Physics Letters A",

issn = "0375-9601",

number = "2",

}

TY - JOUR

T1 - Gradient expansion of the nonequilibrium potential for the supercritical Ginzburg-Landau equation

AU - Descalzi, O.

AU - Graham, R.

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.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0002251215&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0002251215&origin=inward

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

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

M3 - Article

VL - 170

SP - 84

EP - 90

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 2

ER -