The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for a non-variational extended system, namely the subcritical complex Ginzburg-Landau equation. This construction is the second known example of a Lyapunov functional for a non-variational system.
|Number of pages||12|
|Journal||Chaos, Solitons and Fractals|
|State||Published - 12 Nov 2001|
|Event||Irreversibility, Probability and Complexity - Brussels, Belgium|
Duration: 12 Nov 2001 → 12 Nov 2001
Bibliographical noteFunding Information:
E.T. thanks the support of this work by Fondecyt (P. 1990991), FONDAP (P. 11980002), CNRS-CONICYT Project and Cátedra Presidencial en Ciencias. S.M. wishes to thank Fondecyt (P. 1970506). O.D. wishes to thank Fondecyt (P. 3940001) and Fondo de Ayuda a la Investigación de la Universidad de los Andes (P. ICIV-001-2000).
- Computational complexity
- Lyapunov methods