TY - JOUR
T1 - Lyapunov and free energy functionals of generalized Fokker-Planck equations
AU - Frank, T.D.
PY - 2001
Y1 - 2001
N2 - We present the derivation of Lyapunov and free energy functionals for generalized Fokker-Planck equations including those proposed by Desai and Zwanzig, Kuramoto, Kaniadakis and Quarati, and Plastino and Plastino. Thus, we demonstrate a common feature of processes described by generalized Fokker-Planck equations: the decrease of an appropriately defined free energy. © 2001 Elsevier Science B.V. All rights reserved.
AB - We present the derivation of Lyapunov and free energy functionals for generalized Fokker-Planck equations including those proposed by Desai and Zwanzig, Kuramoto, Kaniadakis and Quarati, and Plastino and Plastino. Thus, we demonstrate a common feature of processes described by generalized Fokker-Planck equations: the decrease of an appropriately defined free energy. © 2001 Elsevier Science B.V. All rights reserved.
U2 - 10.1016/S0375-9601(01)00638-7
DO - 10.1016/S0375-9601(01)00638-7
M3 - Article
VL - 290
SP - 93
EP - 100
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
ER -