IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-69164-0_64.html
   My bibliography  Save this book chapter

Free-energy formalism for inhomogeneous nonlinear Fokker-Planck equations

In: Physical and Mathematical Aspects of Symmetries

Author

Listed:
  • Peter Rapčan

    (Centro Brasileiro de Pesquisas Físicas)

  • Gabriele Sicuro

    (Centro Brasileiro de Pesquisas Físicas)

  • Constantino Tsallis

    (Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology of Complex Systems
    Santa Fe Institute)

Abstract

We extend the free-energy formalism recently introduced for homogeneous Fokker–Planck equations to a wide class of inhomogeneous nonlinear Fokker–Planck equations, providing sufficient conditions for the equation coefficients to obtain a free-energy that does not increase with time. Some properties of the stationary solutions of these Fokker–Planck equations are discussed.

Suggested Citation

  • Peter Rapčan & Gabriele Sicuro & Constantino Tsallis, 2017. "Free-energy formalism for inhomogeneous nonlinear Fokker-Planck equations," Springer Books, in: Sergio Duarte & Jean-Pierre Gazeau & Sofiane Faci & Tobias Micklitz & Ricardo Scherer & Francesco To (ed.), Physical and Mathematical Aspects of Symmetries, pages 401-403, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-69164-0_64
    DOI: 10.1007/978-3-319-69164-0_64
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-319-69164-0_64. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.