Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

T.D. Frank; A. Daffertshofer

doi:10.1016/S0378-4371(00)00559-8

Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

T.D. Frank
, A. Daffertshofer

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

Abstract

Multivariate nonlinear Fokker-Planck equations are derived which are solved by equilibrium distributions of generalized thermostatistics. The multivariate Fokker-Planck equations proposed by Kaniadakis and by Borland et al. are re-obtained as special cases. Furthermore, a Kramers equation is derived for particles obeying the nonextensive thermostatistics proposed by Tsallis.

Original language	English
Pages (from-to)	392-410
Journal	Physica A. Statistical Mechanics and its Applications
Volume	292
DOIs	https://doi.org/10.1016/S0378-4371(00)00559-8
Publication status	Published - 2001

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10.1016/S0378-4371(00)00559-8

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@article{f407303526cb49a1956c04c0170cda91,

title = "Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics",

abstract = "Multivariate nonlinear Fokker-Planck equations are derived which are solved by equilibrium distributions of generalized thermostatistics. The multivariate Fokker-Planck equations proposed by Kaniadakis and by Borland et al. are re-obtained as special cases. Furthermore, a Kramers equation is derived for particles obeying the nonextensive thermostatistics proposed by Tsallis.",

author = "T.D. Frank and A. Daffertshofer",

year = "2001",

doi = "10.1016/S0378-4371(00)00559-8",

language = "English",

volume = "292",

pages = "392--410",

journal = "Physica A. Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

AU - Frank, T.D.

AU - Daffertshofer, A.

PY - 2001

Y1 - 2001

N2 - Multivariate nonlinear Fokker-Planck equations are derived which are solved by equilibrium distributions of generalized thermostatistics. The multivariate Fokker-Planck equations proposed by Kaniadakis and by Borland et al. are re-obtained as special cases. Furthermore, a Kramers equation is derived for particles obeying the nonextensive thermostatistics proposed by Tsallis.

AB - Multivariate nonlinear Fokker-Planck equations are derived which are solved by equilibrium distributions of generalized thermostatistics. The multivariate Fokker-Planck equations proposed by Kaniadakis and by Borland et al. are re-obtained as special cases. Furthermore, a Kramers equation is derived for particles obeying the nonextensive thermostatistics proposed by Tsallis.

U2 - 10.1016/S0378-4371(00)00559-8

DO - 10.1016/S0378-4371(00)00559-8

M3 - Article

SN - 0378-4371

VL - 292

SP - 392

EP - 410

JO - Physica A. Statistical Mechanics and its Applications

JF - Physica A. Statistical Mechanics and its Applications

ER -

Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

Abstract

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