IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v444y2016icp177-181.html
   My bibliography  Save this article

Pseudo-ϵ expansion and critical exponents of superfluid helium

Author

Listed:
  • Sokolov, A.I.
  • Nikitina, M.A.

Abstract

The pseudo-ϵ expansions (τ-series) for critical exponents of the three-dimensional XY model describing λ-transition in liquid helium are derived up to the τ6 terms. Numerical estimates extracted from the τ-series obtained using the Padé–Borel resummation technique, scaling relations and the seven-loop (τ7) estimate for the Fisher exponent η are presented including those for the exponents α and ν measured in experiments with a record accuracy. For the exponent α the procedure argued to be most reliable gives α=−0.0117, the number that is very close to the most accurate experimental values. It signals that the pseudo-ϵ expansion approach is a powerful tool robust enough to evaluate critical exponents with small absolute errors. The arguments in favor of such a robustness are presented.

Suggested Citation

  • Sokolov, A.I. & Nikitina, M.A., 2016. "Pseudo-ϵ expansion and critical exponents of superfluid helium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 177-181.
    • Handle: RePEc:eee:phsmap:v:444:y:2016:i:c:p:177-181
    DOI: 10.1016/j.physa.2015.10.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437115008821
    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.2015.10.036?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.

    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:444:y:2016:i:c:p:177-181. 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.