IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i12p2675-2689.html
   My bibliography  Save this article

Steady state statistics of driven diffusions

Author

Listed:
  • Maes, Christian
  • Netočný, Karel
  • Wynants, Bram

Abstract

We consider overdamped diffusion processes driven out of thermal equilibrium and we analyze their dynamical steady fluctuations. We discuss the thermodynamic interpretation of the joint fluctuations of occupation times and currents; they incorporate respectively the time-symmetric and the time-antisymmetric sector of the fluctuations. We highlight the canonical structure of the joint fluctuations. The novel concept of traffic complements the entropy production for the study of the occupation statistics. We explain how the occupation and current fluctuations get mutually coupled out of equilibrium. Their decoupling close-to-equilibrium explains the validity of entropy production principles.

Suggested Citation

  • Maes, Christian & Netočný, Karel & Wynants, Bram, 2008. "Steady state statistics of driven diffusions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2675-2689.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:12:p:2675-2689
    DOI: 10.1016/j.physa.2008.01.097
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108001210
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.01.097?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bertini, Lorenzo & Faggionato, Alessandra & Gabrielli, Davide, 2015. "Flows, currents, and cycles for Markov chains: Large deviation asymptotics," Stochastic Processes and their Applications, Elsevier, vol. 125(7), pages 2786-2819.
    2. Colangeli, Matteo & Rondoni, Lamberto & Verderosa, Antonella, 2014. "Focus on some nonequilibrium issues," Chaos, Solitons & Fractals, Elsevier, vol. 64(C), pages 2-15.

    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:eee:phsmap:v:387:y:2008:i:12:p:2675-2689. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.