IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v199y1993i3p453-475.html
   My bibliography  Save this article

Self-organization and fractal dynamics in turbulence

Author

Listed:
  • Bershadskii, A.
  • Kit, E.
  • Tsinober, A.

Abstract

Results of analysis of the field of helicity, obtained in three different turbulent laboratory flows (grid-flow, boundary layer and jet) and a simple helical fracton model has been used in order to provide a quantitative explanation of anomalous turbulent diffusion in the troposphere and in the ocean. It is shown that Kolmogorov turbulence is critical in respect to the localization effects of subregions with large helicity (helical fractons) and it breaks up into helical fractons under the condition Df⩽2, where Df=2d/dw is the so called fracton dimension (D is the fractal dimension of the turbulent fractal and Dw is the dimension of random walks on this fractal). For strictly Kolmogorov turbulence D1=2. We study the internal structure of helical fractons and demonstrate that they are characterized by Df=43.

Suggested Citation

  • Bershadskii, A. & Kit, E. & Tsinober, A., 1993. "Self-organization and fractal dynamics in turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 453-475.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:453-475
    DOI: 10.1016/0378-4371(93)90061-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437193900618
    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(93)90061-8?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. Bershadskii, A., 1996. "Networks and multifractal asymptotics in turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 165-172.
    2. Bershadskii, A., 1997. "Critical multifractality near monofractal states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 1-8.
    3. Bershadskii, A., 1994. "Topological (loop-) intermittency in the three-dimensional turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(1), pages 93-98.
    4. Bershadskii, A. & Gibson, C.H., 1994. "Singularities in multifractal turbulence dissipation networks and their degeneration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(3), pages 251-260.
    5. Bershadskii, A., 1994. "Stochastic density waves of granular flows: strong-intermittent dissipation fields with self-organization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 386-390.

    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:199:y:1993:i:3:p:453-475. 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.