IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v28y2017i01ns0129183117500097.html
   My bibliography  Save this article

On the entropy variations and the Maxwell relations

Author

Listed:
  • Abed Zadehgol

    (Department of Mechanical Engineering, Isfahan University of Technology (IUT), Isfahan, P.O. Box 8415683111, Iran)

  • Mahmud Ashrafizaadeh

    (Department of Mechanical Engineering, Isfahan University of Technology (IUT), Isfahan, P.O. Box 8415683111, Iran)

Abstract

In the present work, it is shown that the Maxwell relations can effectively be used to partially verify the thermodynamic consistency of the entropic lattice kinetic models. As an example, we consider the Constant Speed Kinetic Model (CSKM) which has recently been introduced in [J. Comp. Phys. 274, 803 (2014); Phys Rev. E 91, 063311 (2015)] and show that, for the quasi-equilibrium flows and at low Mach numbers, the entropy variations are proportional to the pressure variations. The entropy variations of the CSKM are logarithmic (given by the Burg entropy) while the pressure variations obey a nonlogarithmic equation of state. The proportionality of these variations, which is in accordance with the Maxwell relations, can be used to partially verify the thermodynamic consistency of the model. A similar treatment of the previously introduced entropic lattice kinetic models (e.g. of the conventional ELBM of [I. V. Karlin, A. Ferrante and H. C. Öttinger, Europhys. Lett. 47, 182 (1999)]), can provide a new ground for comparing the thermodynamic consistency of the existing entropic lattice kinetic models with each other.

Suggested Citation

  • Abed Zadehgol & Mahmud Ashrafizaadeh, 2017. "On the entropy variations and the Maxwell relations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(01), pages 1-11, January.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:01:n:s0129183117500097
    DOI: 10.1142/S0129183117500097
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183117500097
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183117500097?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;

    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:wsi:ijmpcx:v:28:y:2017:i:01:n:s0129183117500097. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.