TY - JOUR
T1 - Gradient expansion of the nonequilibrium potential for the supercritical Ginzburg-Landau equation
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 - http://www.scopus.com/inward/record.url?scp=0002251215&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(92)90777-J
DO - 10.1016/0375-9601(92)90777-J
M3 - Article
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 -