IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-030-59144-1_7.html
   My bibliography  Save this book chapter

Molecular ET of Rarefied Polyatomic Gas with 14 Fields

In: Classical and Relativistic Rational Extended Thermodynamics of Gases

Author

Listed:
  • Tommaso Ruggeri

    (University of Bologna, Department of Mathematics and Research Center on Applied Mathematics)

  • Masaru Sugiyama

    (Nagoya Institute of Technology)

Abstract

In this chapter, we prove, in the case of rarefied polyatomic gas with non-polytropic caloric equation of state, that the maximum entropy principle (MEP) gives the same closed system as that obtained in the phenomenological RET theory with 14 fields discussed in Chap. 6 . The key idea for the study of polyatomic gases with MEP is to adopt a generalized distribution function. This is the function not only of the usual variables, i.e., time, position, and velocity, but also of an extra variable that connects with the internal degrees of freedom of a constituent molecule. We can obtain the same binary hierarchy introduced in Chap. 6 in a natural way: the one is the momentum-type, F-hierarchy, and the other is the energy-type, G-hierarchy. The extra variable plays a role in the G-hierarchy. The coincidence of the systems between the phenomenological RET theory and the molecular ET theory in the case of more fields will be proved in Chap. 9 .

Suggested Citation

  • Tommaso Ruggeri & Masaru Sugiyama, 2021. "Molecular ET of Rarefied Polyatomic Gas with 14 Fields," Springer Books, in: Classical and Relativistic Rational Extended Thermodynamics of Gases, chapter 0, pages 201-218, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-59144-1_7
    DOI: 10.1007/978-3-030-59144-1_7
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-030-59144-1_7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.