Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

T.D. Frank, A. Daffertshofer

    Research output: Contribution to JournalArticleAcademicpeer-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 languageEnglish
    Pages (from-to)392-410
    JournalPhysica A. Statistical Mechanics and its Applications
    Volume292
    DOIs
    Publication statusPublished - 2001

    Fingerprint

    Dive into the research topics of 'Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics'. Together they form a unique fingerprint.

    Cite this