IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v594y2022ics0378437122000541.html
   My bibliography  Save this article

Permutation-Loewner entropy analysis for 2-dimensional Ising system interface

Author

Listed:
  • Shibasaki, Yusuke

Abstract

The structure of the 2-dimensional (2D) Ising system interface has been investigated in various theoretical statistical physics studies. Although the relationships between the interface geometry and physical properties of the system have already been indicated, in this study, we consider their alternative expressions using the chordal Loewner evolution and permutation entropy method. The Loewner driving forces corresponding to the Ising interfaces for below and at the critical temperature Tc were numerically calculated and analyzed by examining their pattern frequency, entropy, and distance to white noise in the theoretical scheme of the permutation entropy method. Using this permutation-Loewner entropy (PLE) method, we found an exponential function-type relation between the PLE and mean energy of the Ising system, which provides a connection between the theory of Loewner evolution and 2D statistical mechanical systems.

Suggested Citation

  • Shibasaki, Yusuke, 2022. "Permutation-Loewner entropy analysis for 2-dimensional Ising system interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    • Handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437122000541
    DOI: 10.1016/j.physa.2022.126943
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122000541
    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.2022.126943?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:phsmap:v:594:y:2022:i:c:s0378437122000541. 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.