IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v107y1981i2p393-403.html
   My bibliography  Save this article

Two continuum approaches to a wavelength-dependent description of heat conduction

Author

Listed:
  • Bampi, F.
  • Morro, A.
  • Jou, D.

Abstract

Heat conduction in rigid solids is examined with the purpose of setting up a systematic thermodynamic description accounting for frequency- and wavelength-dependent phenomena. Such a scheme is exhibited in two versions, namely extended irreversible thermodynamics and hidden variable thermodynamics. Though starting from different assumptions, the two versions lead to the same practical conclusions, which in turn may be identified with Chester's microscopic results on high-frequency thermometry. Also a generalization compatible with discontinuity propagation is proposed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:107:y:1981:i:2:p:393-403
    DOI: 10.1016/0378-4371(81)90097-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437181900972
    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(81)90097-2?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.

    References listed on IDEAS

    as
    1. 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.
    2. André Lebon, 1979. "L'aide au retour des travailleurs étrangers," Économie et Statistique, Programme National Persée, vol. 113(1), pages 37-46.
    3. Tsai, S.P. & Lee, E.S. & Hardy, R.J., 1978. "The effect of a reduction in leading causes of death: potential gains in life expectancy," American Journal of Public Health, American Public Health Association, vol. 68(10), pages 966-971.
    4. Jou, D. & Rubi, J.M. & Casas-Vazquez, J., 1980. "Hydrodynamical fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 588-598.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Llebot, J.E. & Jou, D. & Casas-Vásquez, J., 1983. "A thermodynamic approach to heat and electric conduction in solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 552-562.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jou, D. & Pérez-Garcia, C., 1980. "On a Ginzburg-Landau constitutive equation for the evolution and fluctuations of the heat flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 320-332.
    2. García-Colín, L.S., 1983. "On the Burnett and higher order equations of hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 341-349.
    3. 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.
    4. Jou, D. & Rubi, J.M. & Casas-Vazquez, J., 1980. "Hydrodynamical fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 588-598.
    5. 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.
    6. Verna Keith & David Smith, 1988. "The current differential in black and white life expectancy," Demography, Springer;Population Association of America (PAA), vol. 25(4), pages 625-632, November.
    7. Banach, Zbigniew, 1984. "On the balance laws of extended thermodynamics (ET) for non-ideal gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(1), pages 95-124.
    8. Arora Suchit, 2012. "Understanding Aging during the Epidemiologic Transition," Working Papers 12-07, Association Française de Cliométrie (AFC).
    9. Jean-Luc Richard, 1998. "Rester en France, devenir Français, voter : trois étapes de l'intégration des enfants d'immigrés," Économie et Statistique, Programme National Persée, vol. 316(1), pages 151-162.
    10. Boukary, M.S. & Lebon, G., 1986. "A comparative analysis of binary fluid mixtures by extended thermodynamics and the kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 546-572.
    11. Llebot, J.E. & Jou, D. & Casas-Vásquez, J., 1983. "A thermodynamic approach to heat and electric conduction in solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 552-562.
    12. Stephen Newman, 1986. "A generalization of life expectancy which incorporates the age distribution of the population and its use in the measurement of the impact of mortality reduction," Demography, Springer;Population Association of America (PAA), vol. 23(2), pages 261-274, May.
    13. Guogui Huang & Fei Guo, 2022. "Loss of life expectancy due to respiratory infectious diseases: findings from the global burden of disease study in 195 countries and territories 1990–2017," Journal of Population Research, Springer, vol. 39(1), pages 1-43, March.
    14. René Frey & Robert E. Leu, 1981. "Demographie und Inzidenz der öffentlichen Ausgaben im Gesundheitswesen," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 117(III), pages 319-336, September.
    15. Jou, D. & Casas-Vazquez, J. & Robles-Dominguez, J.A. & Garcia Colin, L.S., 1986. "Linear Burnett coefficients and thermodynamic fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 349-358.
    16. Kevin P. Brand, 2005. "Approximations and Heuristics for the “Cause‐Modified” Life Table," Risk Analysis, John Wiley & Sons, vol. 25(3), pages 695-709, June.
    17. Kenneth Manton & Eric Stallard, 1982. "Temporal trends in U. S. multiple cause of death mortality data: 1968 to 1977," Demography, Springer;Population Association of America (PAA), vol. 19(4), pages 527-547, November.
    18. 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.
    19. Dudyński, Marek, 1988. "The Boltzmann-Lorentz model for particles with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 254-272.
    20. 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.

    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:107:y:1981:i:2:p:393-403. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.