IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v32y2021i12ns0129183121501552.html
   My bibliography  Save this article

Finding the dominant zero of the energy probability distribution

Author

Listed:
  • J. J. Carvalho

    (Departamento de Ciências Naturais, Universidade Federal de São João del-Rei, C.P. 110, São João del-Rei, Minas Gerais, CEP 36301-160, Brazil)

  • A. L. Mota

    (Departamento de Ciências Naturais, Universidade Federal de São João del-Rei, C.P. 110, São João del-Rei, Minas Gerais, CEP 36301-160, Brazil)

Abstract

In this work, we present a computational procedure to locate the dominant Fisher zero of the partition function of a thermodynamic system. The procedure greatly reduces the required computer processing time to find the dominant zero when compared to other dominant zero search procedures. As a consequence, when the partition function results in very large polynomials, the accuracy of the results can be increased, since less drastic truncation of the polynomials (or even no truncation) is necessary. We apply the procedure to the 2D Ising model in a square lattice, obtaining very accurate results for the critical temperature and some of the critical exponents of the model. We also show the results obtained when the technique is used with the Monte Carlo simulated 2D Ising model in large lattices.

Suggested Citation

  • J. J. Carvalho & A. L. Mota, 2021. "Finding the dominant zero of the energy probability distribution," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 32(12), pages 1-14, December.
    • Handle: RePEc:wsi:ijmpcx:v:32:y:2021:i:12:n:s0129183121501552
    DOI: 10.1142/S0129183121501552
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183121501552
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183121501552?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:wsi:ijmpcx:v:32:y:2021:i:12:n:s0129183121501552. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.