H-theorem for Fokker-Planck equations with drifts depending on process mean values

T.D. Frank

doi:10.1016/S0375-9601(01)00031-7

H-theorem for Fokker-Planck equations with drifts depending on process mean values

T.D. Frank

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

Abstract

By means of an H-theorem it is shown that transient solutions of one-variable Fokker-Planck equations with drift terms depending on process mean values converge to stationary distributions. Thus, Shiino's H-theorem for the mean field Fokker-Planck equation proposed by Desai and Zwanzig is generalized. © 2001 Elsevier Science B.V.

Original language	English
Pages (from-to)	91-96
Journal	Physics Letters A
Volume	280
DOIs	https://doi.org/10.1016/S0375-9601(01)00031-7
Publication status	Published - 2001

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10.1016/S0375-9601(01)00031-7

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title = "H-theorem for Fokker-Planck equations with drifts depending on process mean values",

abstract = "By means of an H-theorem it is shown that transient solutions of one-variable Fokker-Planck equations with drift terms depending on process mean values converge to stationary distributions. Thus, Shiino's H-theorem for the mean field Fokker-Planck equation proposed by Desai and Zwanzig is generalized. {\textcopyright} 2001 Elsevier Science B.V.",

author = "T.D. Frank",

year = "2001",

doi = "10.1016/S0375-9601(01)00031-7",

language = "English",

volume = "280",

pages = "91--96",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier B.V.",

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T1 - H-theorem for Fokker-Planck equations with drifts depending on process mean values

AU - Frank, T.D.

PY - 2001

Y1 - 2001

N2 - By means of an H-theorem it is shown that transient solutions of one-variable Fokker-Planck equations with drift terms depending on process mean values converge to stationary distributions. Thus, Shiino's H-theorem for the mean field Fokker-Planck equation proposed by Desai and Zwanzig is generalized. © 2001 Elsevier Science B.V.

AB - By means of an H-theorem it is shown that transient solutions of one-variable Fokker-Planck equations with drift terms depending on process mean values converge to stationary distributions. Thus, Shiino's H-theorem for the mean field Fokker-Planck equation proposed by Desai and Zwanzig is generalized. © 2001 Elsevier Science B.V.

U2 - 10.1016/S0375-9601(01)00031-7

DO - 10.1016/S0375-9601(01)00031-7

M3 - Article

SN - 0375-9601

VL - 280

SP - 91

EP - 96

JO - Physics Letters A

JF - Physics Letters A

ER -

H-theorem for Fokker-Planck equations with drifts depending on process mean values

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