IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v309y2002i3p268-274.html
   My bibliography  Save this article

Green–Kubo formula derived from large deviation statistics

Author

Listed:
  • Shibata, Hiroshi

Abstract

Numerical calculations for many physical systems including chaos and turbulence have been greatly developed in recent years. We often investigate the characteristics of the time series for chaotic systems and study the essential laws underlying its time series. We show the important characteristics which are sometimes not pointed out. One of them is the Green–Kubo formula, which holds for the time series that satisfies the large deviation statistics. Extended version for the relation is shown in this paper and a simple example is given. The relationship between the Green–Kubo formula and the large deviation statistics is emphasized.

Suggested Citation

  • Shibata, Hiroshi, 2002. "Green–Kubo formula derived from large deviation statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(3), pages 268-274.
    • Handle: RePEc:eee:phsmap:v:309:y:2002:i:3:p:268-274
    DOI: 10.1016/S0378-4371(02)00567-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102005678
    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/S0378-4371(02)00567-8?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. David T. Limmer & Chloe Y. Gao & Anthony R. Poggioli, 2021. "A large deviation theory perspective on nanoscale transport phenomena," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(7), pages 1-16, July.
    2. Shibata, Hiroshi, 2002. "Statistics of phase turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(3), pages 381-388.

    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:309:y:2002:i:3:p:268-274. 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.