Lyapunov and free energy functionals of generalized Fokker-Planck equations

T.D. Frank

doi:10.1016/S0375-9601(01)00638-7

Lyapunov and free energy functionals of generalized Fokker-Planck equations

T.D. Frank

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

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.

Original language	English
Pages (from-to)	93-100
Journal	Physics Letters A
Volume	290
DOIs	https://doi.org/10.1016/S0375-9601(01)00638-7
Publication status	Published - 2001

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10.1016/S0375-9601(01)00638-7

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title = "Lyapunov and free energy functionals of generalized Fokker-Planck equations",

abstract = "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. {\textcopyright} 2001 Elsevier Science B.V. All rights reserved.",

author = "T.D. Frank",

year = "2001",

doi = "10.1016/S0375-9601(01)00638-7",

language = "English",

volume = "290",

pages = "93--100",

journal = "Physics Letters A",

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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

SN - 0375-9601

VL - 290

SP - 93

EP - 100

JO - Physics Letters A

JF - Physics Letters A

ER -

Lyapunov and free energy functionals of generalized Fokker-Planck equations

Abstract

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