IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v521y2019icp773-780.html
   My bibliography  Save this article

Condensation of nonextensive ideal Bose gas and critical exponents

Author

Listed:
  • Adli, Fereshteh
  • Mohammadzadeh, Hosein
  • Nattagh Najafi, Morteza
  • Ebadi, Zahra

Abstract

We investigate the condensation of a three dimensional nonextensive ideal Bose gas. We use the distribution function of nonextensive Bose statistics and define the q-generalized polylogarithm functions and obtain the internal energy, the particle number and some useful thermodynamics response functions for q≥1. We show that the discontinuity of the slop of heat capacity with respect to the temperature is reduced by increasing the nonextensive parameter. Therefore, approximately for q>1.4 values of nonextensive parameter, the condensation does not occur. Also, we calculated the specific heat at constant pressure, the isothermal compressibility and the thermodynamic curvature, that behave as |T−Tcq|−ρ in which Tcq denotes the condensation temperature and ρ is the critical exponent. We show that the determined critical exponents are independent of nonextensive parameter. So, the scaling properties near the transition temperature indicates that the universality class of nonextensive systems is the same as extensive ones.

Suggested Citation

  • Adli, Fereshteh & Mohammadzadeh, Hosein & Nattagh Najafi, Morteza & Ebadi, Zahra, 2019. "Condensation of nonextensive ideal Bose gas and critical exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 773-780.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:773-780
    DOI: 10.1016/j.physa.2019.01.093
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119300998
    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.2019.01.093?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. Jelodar, Reza Asgharzadeh & Mehri-Dehnavi, Hossein & Agahi, Hamzeh, 2021. "Some properties of Tsallis and Tsallis–Lin quantum relative entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    2. Rovenchak, Andrij & Sobko, Bohdana, 2019. "Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(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:521:y:2019:i:c:p:773-780. 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.