IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v09y1998i01ns0129183198000157.html
   My bibliography  Save this article

High and Low Temperature Series Estimates for the Critical Temperature of the 3D Ising Model

Author

Listed:
  • Zaher Salman

    (Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel)

  • Joan Adler

    (Department of Physics, Technion-Israel Institute of Technology, Haifa 32000, Israel)

Abstract

We have analyzed low and high temperature series expansions for the three-dimensional Ising model on the simple cubic lattice. Our analysis of Butera and Comi's new 21-term high temperature series yields$K_c=0.221659\pm {}^{+0.000002}_{-0.000005}$and from the 32-term low temperature series of Vohwinkel we findKc=0.22167±0.00002, consistent with the high temperature series but with larger error bars. We discuss the reasons for the larger error bars on the low temperature side and compare these values with estimates from other series analyses and from simulations.

Suggested Citation

  • Zaher Salman & Joan Adler, 1998. "High and Low Temperature Series Estimates for the Critical Temperature of the 3D Ising Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(01), pages 195-209.
    • Handle: RePEc:wsi:ijmpcx:v:09:y:1998:i:01:n:s0129183198000157
    DOI: 10.1142/S0129183198000157
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183198000157
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183198000157?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:09:y:1998:i:01:n:s0129183198000157. 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.