IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v319y2003icp295-304.html
   My bibliography  Save this article

Dynamic spectral analysis of phase turbulence

Author

Listed:
  • Montagne, Raúl
  • Brunnet, Leonardo Gregory

Abstract

We analyze the time fluctuations associated to the power spectrum of a finite system governed by the complex Ginzburg–Landau equation (CGLE) in the phase turbulence region. It is shown that, for any given value of the parameters of the CGLE, these fluctuations follow an exponential law with the wavenumber. The exponent, α, is such that α→0 indicating a critical behavior when the system is approaching the defect turbulence region. On the contrary α→∞ near the Benjamin–Feir line.

Suggested Citation

  • Montagne, Raúl & Brunnet, Leonardo Gregory, 2003. "Dynamic spectral analysis of phase turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 295-304.
    • Handle: RePEc:eee:phsmap:v:319:y:2003:i:c:p:295-304
    DOI: 10.1016/S0378-4371(02)01388-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102013882
    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)01388-2?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.

    References listed on IDEAS

    as
    1. Chaté, Hugues & Manneville, Paul, 1996. "Phase diagram of the two-dimensional complex Ginzburg-Landau equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 348-368.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ivars, Salim B. & Botey, Muriel & Herrero, Ramon & Staliunas, Kestutis, 2023. "Stabilisation of spatially periodic states by non-Hermitian potentials," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    2. Hingis, Y.M. Gifteena & Muthtamilselvan, M., 2024. "Ginzburg–Landau equations for the salt fingering region with the onset of microorganisms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 90-109.
    3. Granzow, Glen D. & Riecke, Hermann, 1998. "Ordered and disordered defect chaos," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 27-35.

    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:319:y:2003:i:c:p:295-304. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.