IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v406y2014icp272-280.html
   My bibliography  Save this article

Thermodynamic approach to vortex production and diffusion in inhomogeneous superfluid turbulence

Author

Listed:
  • Saluto, L.
  • Jou, D.
  • Mongiovì, M.S.

Abstract

In this paper, we use a non-equilibrium thermodynamic framework to generalize a previous nonlocal model of counterflow superfluid turbulence to incorporate some new coupled terms which may be relevant in the evolution of inhomogeneous vortex tangles. The theory chooses as fundamental fields the energy density, the heat flux, and the averaged vortex line length per unit volume. The constitutive quantities are assumed to depend on the fundamental fields and on their first spatial derivatives, allowing us to describe thermal dissipation, vortex diffusion and a new contribution to vortex formation. The restrictions on the constitutive relations are deduced from the entropy principle, using the Liu method of Lagrange multipliers. The form of the entropy and the entropy flux are compared with those obtained in the maximum-entropy formalism. The several non-local terms are discussed in detail to clarify their physical meaning, and an experiment is proposed to check their actual existence and measure their values.

Suggested Citation

  • Saluto, L. & Jou, D. & Mongiovì, M.S., 2014. "Thermodynamic approach to vortex production and diffusion in inhomogeneous superfluid turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 272-280.
    • Handle: RePEc:eee:phsmap:v:406:y:2014:i:c:p:272-280
    DOI: 10.1016/j.physa.2014.03.062
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437114002647
    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.2014.03.062?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. Sciacca, Michele & Jou, David & Mongiovì, Maria Stella, 2020. "K-ϵ-L model in turbulent superfluid helium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).

    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:406:y:2014:i:c:p:272-280. 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.