IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v185y1992i1p174-180.html
   My bibliography  Save this article

Multiscaling transformation in dynamical systems and turbulence

Author

Listed:
  • Paladin, G.
  • Vergassola, M.
  • Vulpiani, A.

Abstract

Multiscaling is a scaling law where the exponent is slowing varying with the length scale (pseudo-algebraic law). We discuss its origin as a consequences of multifractility and the existence of a lower cutoff in the calculation of correlation functions in different contexts. We derive some exact results in the case of two scale Cantor sets, which can be extended to other fractal structures such as strange attractors of chaotic systems. In fully developed turbulence, the cutoff is naturally introduced by the viscosity and our approach leads to the prediction of an intermediate dissipation range, which can be tested experimentally.

Suggested Citation

  • Paladin, G. & Vergassola, M. & Vulpiani, A., 1992. "Multiscaling transformation in dynamical systems and turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 174-180.
    • Handle: RePEc:eee:phsmap:v:185:y:1992:i:1:p:174-180
    DOI: 10.1016/0378-4371(92)90453-W
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719290453W
    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/10.1016/0378-4371(92)90453-W?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.

    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:eee:phsmap:v:185:y:1992:i:1:p:174-180. 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.