IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v100y1980i3p573-588.html
   My bibliography  Save this article

The eigenvalue problem for linear macroscopic equations

Author

Listed:
  • Titulaer, U.M.
  • Felderhof, B.U.

Abstract

The normal mode analysis of systems of linear macroscopic equations in irreversible thermodynamics is extended in several ways. When the characteristics equation has multiple roots, there may appear normal solutions that do not decay purely exponentially, but a closed form for the Green function and the autocorrelation function can still be given. Furthermore, nonexponential decay is associated only with accidental, not with systematic degeneracy. We also discuss the case of external parameters that break microscopic time reversibility. In this case the orthonormality relations between the normal mode vectors are replaced by biorthonormality relations between the normal modes of the system studied and those of the system with reversed external parameters. Finally we discuss systems in which the second order energy is only positive semi-definite.

Suggested Citation

  • Titulaer, U.M. & Felderhof, B.U., 1980. "The eigenvalue problem for linear macroscopic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(3), pages 573-588.
    • Handle: RePEc:eee:phsmap:v:100:y:1980:i:3:p:573-588
    DOI: 10.1016/0378-4371(80)90168-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437180901685
    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(80)90168-5?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:100:y:1980:i:3:p:573-588. 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.