IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v368y2006i2p430-434.html
   My bibliography  Save this article

Temperature of nonextensive systems: Tsallis entropy as Clausius entropy

Author

Listed:
  • Abe, Sumiyoshi

Abstract

The problem of the temperature in nonextensive statistical mechanics is studied. Considering the first law of thermodynamics and a “quasi-reversible process”, it is shown that the Tsallis entropy becomes the Clausius entropy if the inverse of the Lagrange multiplier, β, associated with the constraint on the internal energy is regarded as the temperature. This temperature is different from the previously proposed “physical temperature” defined through the assumption of divisibility of the total system into independent subsystems. A general discussion is developed about the role of the Boltzmann constant in generalized statistical mechanics based on an entropy, which, under the assumption of independence, is nonadditive.

Suggested Citation

  • Abe, Sumiyoshi, 2006. "Temperature of nonextensive systems: Tsallis entropy as Clausius entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 430-434.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:430-434
    DOI: 10.1016/j.physa.2006.04.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106003803
    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/j.physa.2006.04.001?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. Koponen, Ismo T. & Palmgren, Elina & Keski-Vakkuri, Esko, 2021. "Characterising heavy-tailed networks using q-generalised entropy and q-adjacency kernels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).
    2. Boer, Attila, 2011. "Monte Carlo simulation of the two-dimensional Potts model using nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4203-4209.

    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:368:y:2006:i:2:p:430-434. 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.