IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v93y1978i1p273-286.html
   My bibliography  Save this article

On linear dynamical equations of state for isotropic media I

Author

Listed:
  • Kluitenberg, G.A.
  • Ciancio, V.

Abstract

In this paper we investigate the relation (dynamical equation of state) among the (mechanical hydrostatic) pressure P, the volume ν and the temperature T of an isotropic medium with an arbitrary number, say n, of scalar internal degrees of freedom. It is assumed that the irreversible processes in the medium are due to volume viscosity and to changes in the internal variables and that these processes can be described with the aid of non-equilibrium thermodynamics. It is shown that an explicit form for the dynamical equation of state may be obtained if in the neighbourhood of some state of thermodynamic equilibrium it is permissible to consider the equilibrium pressure and the thermodynamic affinities (conjugate to the internal degrees of freedom) as linear functions of ν, T and the internal variables and if, moreover, the phenomenological coefficients, which occur in the equations for the irreversible processes, may be considered as constants. This dynamical equation of state has the form of a linear relation among P, ν, T, the first n derivatives with respect to time of P and of T and the first n+1 derivatives with respect to time of ν.

Suggested Citation

  • Kluitenberg, G.A. & Ciancio, V., 1978. "On linear dynamical equations of state for isotropic media I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(1), pages 273-286.
    • Handle: RePEc:eee:phsmap:v:93:y:1978:i:1:p:273-286
    DOI: 10.1016/0378-4371(78)90221-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437178902212
    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(78)90221-2?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. Kluitenberg, G.A., 1981. "On vectorial internal variables and dielectric and magnetic relaxation phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 109(1), pages 91-122.
    2. Kluitenberg, G.A. & Turrisi, E. & Ciancio, V., 1982. "On the propagation of linear transverse acoustic waves in isotropic media with mechanical relaxation phenomena due to viscosity and a tensorial internal variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 110(1), pages 361-372.
    3. Ciancio, V. & Restuccia, L., 1985. "Asymptotic waves in anelastic media without memory (Maxwell media)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 251-262.
    4. Cianco, V. & Kluitenberg, G.A., 1979. "On linear dynamical equations of state for isotropic media II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(3), pages 592-600.
    5. Ciancio, Vincenzo & Restuccia, Liliana, 1985. "Non-linear dissipative waves in viscoanelastic media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 132(2), pages 606-616.
    6. Turrisi, E. & Ciancio, V. & Kluitenberg, G.A., 1982. "On the propagation of linear transverse acoustic waves in isotropic media with mechanical relaxation phenomena due to viscosity and a tensorial internal variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 594-603.
    7. Ciancio, V. & Turrisi, E. & Kluitenberg, G.A., 1986. "On the propagation of linear longitudinal acoustic waves in isotropic media with shear and volume viscosity and a tensorial internal variable," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 138(3), pages 573-591.
    8. Bampi, F. & Morro, A. & Jou, D., 1981. "Two continuum approaches to a wavelength-dependent description of heat conduction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 393-403.

    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:93:y:1978:i:1:p:273-286. 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.