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 |
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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 | |
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.