IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v159y2022ics0960077922003800.html
   My bibliography  Save this article

Most probable distributions and distributions of extremes for particle systems with hierarchical structures

Author

Listed:
  • Romanovsky, Michael

Abstract

The problem of the most probable distributions on energy is studied in a combinatorial formulation, under the natural hypotheses regarding conservation laws, such as conservation of the total number of particles, total energy, etc. The particle distributions on the maximum and minimum energies are obtained and coincide with those found in the framework of the original combinatorial treatment. Two types of energy distributions for delimited particles are obtained. The results can be interpreted as sorting of particles based on their statistical mechanics behavior observed in various experiments. An effective Pauli principle arises in a non-contradictory way in one-particle observations both for once- and twice-delimited systems in the combinatorial formulation as well as in the problem of distributions on maximum and minimum energies. Many of the distributions obtained describe particles that do not have negative energy states.

Suggested Citation

  • Romanovsky, Michael, 2022. "Most probable distributions and distributions of extremes for particle systems with hierarchical structures," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
  • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003800
    DOI: 10.1016/j.chaos.2022.112170
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922003800
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.112170?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.

    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:chsofr:v:159:y:2022:i:c:s0960077922003800. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.