IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v309y2002i1p85-105.html
   My bibliography  Save this article

q-Thermostatistics and the black-body radiation problem

Author

Listed:
  • Martı́nez, S.
  • Pennini, F.
  • Plastino, A.
  • Tessone, C.J.

Abstract

We give an exact information-theory treatment of the n-dimensional black-body radiation process in a non-extensive scenario. We develop a q-generalization of the laws of (i) Stefan–Boltzmann, (ii) Planck, and (iii) Wien, and show that conventional, canonical results are obtained at temperatures above 1K. Classical relationships between radiation, pressure, and internal energy are recovered (independently of the q value). Analyzing the particles’ density for q≈1, we see that the non-extensive parameter q introduces a fictitious chemical potential. We apply our results to experimental data on the cosmic microwave background and reproduce it with acceptable accuracy for different temperatures (each one associated to a particular q value).

Suggested Citation

  • Martı́nez, S. & Pennini, F. & Plastino, A. & Tessone, C.J., 2002. "q-Thermostatistics and the black-body radiation problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(1), pages 85-105.
    • Handle: RePEc:eee:phsmap:v:309:y:2002:i:1:p:85-105
    DOI: 10.1016/S0378-4371(02)00621-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437102006210
    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(02)00621-0?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. Gravanis, E. & Akylas, E., 2021. "Blackbody radiation, kappa distribution and superstatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).

    More about this item

    Keywords

    q-Thermostatistics; Black-body radiation;

    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:309:y:2002:i:1:p:85-105. 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.