IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v243y1997i3p275-303.html
   My bibliography  Save this article

Information-theoretical approach to radiative transfer

Author

Listed:
  • Fort, J.

Abstract

The maximum entropy formalism is used to obtain the radiation and matter distribution functions for radiative systems is steady nonequilibrium states, under the gray approximation. The radiation distribution function is expanded in a smallness parameter, which vanishes at equilibrium. In the first near-equilibrium approximation, we derive the results of near-equilibrium diffusion theory. This may be regarded as an analogue to the kinetic-theoretical result, according to which in the first Enskog approximation, the Fourier heat conduction equation is obtained. The theory is also developed up to the second order, leading to results which apply to situations further away from equilibrium than those corresponding to near-equilibrium diffusion theory. A simple application is analyzed.

Suggested Citation

  • Fort, J., 1997. "Information-theoretical approach to radiative transfer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(3), pages 275-303.
  • Handle: RePEc:eee:phsmap:v:243:y:1997:i:3:p:275-303
    DOI: 10.1016/S0378-4371(97)00277-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843719700277X
    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/S0378-4371(97)00277-X?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. Eu, Byung Chan & Mao, Kefei, 1992. "Kinetic theory approach to irreversible thermodynamics of radiation and matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 180(1), pages 65-114.
    Full references (including those not matched with items on IDEAS)

    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. Brenner, Howard, 2005. "Kinematics of volume transport," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 11-59.
    2. Jou, D. & Casas-Vázquez, J. & Criado-Sancho, M., 1999. "Information theory and thermodynamics of polymer solutions under flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 262(1), pages 69-75.
    3. Bove, A & DeMartino, S & Lauro, G, 2000. "Trend to equilibrium in the dynamics of a gas interacting with a radiation field," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 54(1), pages 113-129.
    4. Hamid Niazmand & Alireza Mohammadzadeh & Ehsan Roohi, 2013. "Predicting Continuum Breakdown Of Rarefied Micro/Nano Flows Using Entropy And Entropy Generation Analysis," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 24(05), pages 1-24.
    5. Márkus, Ferenc & Gambár, Katalin & Vázquez, Federico & del Rı́o, J.Antonio, 1999. "Classical field theory and stochastic properties of hyperbolic equations of dissipative processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 482-498.
    6. Badescu, Viorel, 2022. "Statistical thermodynamics approach for the available work transported by particle fluxes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    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:243:y:1997:i:3:p:275-303. 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.