IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v674y2025ics0378437125003796.html
   My bibliography  Save this article

A mathematical modeling of n-state systems

Author

Listed:
  • Rahimi, M.
  • Mozaffari, M.R.
  • Tayebi, A.

Abstract

In this paper, we assign a Riemannian manifold to n-state systems by using a canonical ensemble in equilibrium statistical mechanics. We consider discrete states with equal intervals, i.e., we assume equal energy intervals between the states of non-interacting particles. Since there are many important quantities on a Riemannian manifold, we may define them for n-state systems. We define a distance between different equilibrium statistical states of an n-state system. We also give a lower bound for the mean square error of an unbiased estimator for the temperature of an n-state system.

Suggested Citation

  • Rahimi, M. & Mozaffari, M.R. & Tayebi, A., 2025. "A mathematical modeling of n-state systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 674(C).
    • Handle: RePEc:eee:phsmap:v:674:y:2025:i:c:s0378437125003796
    DOI: 10.1016/j.physa.2025.130727
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437125003796
    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.2025.130727?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:674:y:2025:i:c:s0378437125003796. 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.