Lyapunov and free energy functionals of generalized Fokker-Planck equations

Authors
Citation
Td. Frank, Lyapunov and free energy functionals of generalized Fokker-Planck equations, PHYS LETT A, 290(1-2), 2001, pp. 93-100
Citations number
47
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
0375-9601 → ACNP
Volume
290
Issue
1-2
Year of publication
2001
Pages
93 - 100
Database
ISI
SICI code
0375-9601(20011105)290:1-2<93:LAFEFO>2.0.ZU;2-K
Abstract
We present the derivation of Lyapunov and free energy functionals for gener alized Fokker-Planck equations including those proposed by Desai and Zwanzi g, Kuramoto, Kaniadakis and Quarati, and Plastino and Plastino. Thus, we de monstrate a common feature of processes described by generalized Fokker-Pla nck equations: the decrease of an appropriately defined free energy. (C) 20 01 Elsevier Science B.V. All rights reserved.