IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v171y1991i2p285-312.html
   My bibliography  Save this article

Revision of the modified moment method and a differential form for the compensated part of entropy

Author

Listed:
  • Eu, Byung Chan

Abstract

The modified moment method is revised so that the consistency condition is replaced by a differential equation for a dissipation function. This revision given this by a differential form for the compensated part of entropy which is given in terms of substantial usage derivatives of conserved and nonconserved macroscopic variables and derivatives of the former with respect to the latter. In this method the distribution function and the entropy are determined in functionals of the macroscopic variables when the conservation laws and the evolution equations are solved subject to initial and boundary condition and the differential equations for the compensated part of entropy is integrated. The internal consistency of the method is proven. A couple of methods are discussed which allows to determine the distribution function approximately. One of the method is discussed in detail and the results agree with the lowest-order solutions for the consistency condition for the non-equilibrium part of the distribution function in the original version of the modified moment method. Therefore the present revision does not affect the evolution equation using each conditions in the dissipation terms in the previous applications of the modified moment method.

Suggested Citation

  • Eu, Byung Chan, 1991. "Revision of the modified moment method and a differential form for the compensated part of entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 171(2), pages 285-312.
    • Handle: RePEc:eee:phsmap:v:171:y:1991:i:2:p:285-312
    DOI: 10.1016/0378-4371(91)90279-L
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190279L
    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/10.1016/0378-4371(91)90279-L?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.

    More about this item

    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:eee:phsmap:v:171:y:1991:i:2:p:285-312. 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.