IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v340y2004i1p138-146.html
   My bibliography  Save this article

An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles

Author

Listed:
  • Touchette, Hugo
  • Ellis, Richard S.
  • Turkington, Bruce

Abstract

This short paper presents a nontechnical introduction to the problem of nonequivalent microcanonical and canonical ensembles. Both the thermodynamic and the macrostate levels of definition of nonequivalent ensembles are introduced. The many relationships that exist between these two levels are also explained in simple physical terms.

Suggested Citation

  • Touchette, Hugo & Ellis, Richard S. & Turkington, Bruce, 2004. "An introduction to the thermodynamic and macrostate levels of nonequivalent ensembles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 138-146.
    • Handle: RePEc:eee:phsmap:v:340:y:2004:i:1:p:138-146
    DOI: 10.1016/j.physa.2004.03.088
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710400408X
    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.2004.03.088?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. Lynden-Bell, D., 1999. "Negative specific heat in astronomy, physics and chemistry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 293-304.
    2. Borges, Ernesto P & Tsallis, Constantino, 2002. "Negative specific heat in a Lennard-Jones-like gas with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 148-151.
    3. Ellis, Richard S. & Touchette, Hugo & Turkington, Bruce, 2004. "Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 518-538.
    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. Matty, Michael & Lancaster, Lachlan & Griffin, William & Swendsen, Robert H., 2017. "Comparison of canonical and microcanonical definitions of entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 474-489.
    2. Großkinsky, Stefan, 2008. "Equivalence of ensembles for two-species zero-range invariant measures," Stochastic Processes and their Applications, Elsevier, vol. 118(8), pages 1322-1350, August.
    3. Gorban, Alexander, 2007. "Order–disorder separation: Geometric revision," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 85-102.
    4. Touchette, H. & Costeniuc, M. & Ellis, R.S. & Turkington, B., 2006. "Metastability within the generalized canonical ensemble," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 132-137.
    5. Casetti, Lapo & Kastner, Michael, 2007. "Partial equivalence of statistical ensembles and kinetic energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 318-334.

    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. Casetti, Lapo & Kastner, Michael, 2007. "Partial equivalence of statistical ensembles and kinetic energy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 318-334.
    2. Palma-Chilla, L. & Flores, J.C., 2017. "Negative heat capacity in a left-handed system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 396-401.
    3. Zamora, D.J. & Rocca, M.C. & Plastino, Angel, 2020. "Statistical Mechanics of planar stellar systems: Solving divergences in self-gravitational systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
    4. Ellis, Richard S. & Touchette, Hugo & Turkington, Bruce, 2004. "Thermodynamic versus statistical nonequivalence of ensembles for the mean-field Blume–Emery–Griffiths model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 518-538.
    5. Bouchet, Freddy & Gupta, Shamik & Mukamel, David, 2010. "Thermodynamics and dynamics of systems with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(20), pages 4389-4405.
    6. Mirtorabi, M. & Miraboutalebi, S. & Masoudi, A.A. & Matin, L. Farhang, 2020. "Some thermodynamics modifications by the least length assumption via the microcanonical scheme," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    7. Touchette, H. & Costeniuc, M. & Ellis, R.S. & Turkington, B., 2006. "Metastability within the generalized canonical ensemble," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 132-137.

    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:340:y:2004:i:1:p:138-146. 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.