IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v154y1989i2p324-343.html
   My bibliography  Save this article

Partition function zeros for the two-dimensional Ising model VI

Author

Listed:
  • Stephenson, John

Abstract

Special features of the complex temperature zeros of the partition function of the two-dimensional Ising model on completely anisotropic triangular lattices with all “odd” interactions, such as one with interaction ratios 5:3:1, are investigated. A bifurcation of one of the boundary lines at the imaginary axis occurs. An analytical explanation of this bifurcation is provided, and the algebraic reduction of the bifurcation eliminant to a symmetrical form is reported. Also, the end-points of lines of pure imaginary zeros are related to the critical point and disorder point equations.

Suggested Citation

  • Stephenson, John, 1989. "Partition function zeros for the two-dimensional Ising model VI," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(2), pages 324-343.
    • Handle: RePEc:eee:phsmap:v:154:y:1989:i:2:p:324-343
    DOI: 10.1016/0378-4371(89)90016-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437189900162
    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/10.1016/0378-4371(89)90016-2?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.

    References listed on IDEAS

    as
    1. Stephenson, John & Couzens, Rodney, 1984. "Partition function zeros for the two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(1), pages 201-210.
    2. Stephenson, John & Van Aalst, Jan, 1986. "Partition function zeros for the two-dimensional Ising model III," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 136(1), pages 160-175.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Stephenson, John, 1988. "Partition function zeros for the two-dimensional using model IV," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 88-106.
    2. Stephenson, John, 1989. "Partition function zeros for the two-dimensional Ising model VII," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(2), pages 344-364.
    3. Anglès d'Auriac, J.C. & Maillard, J.M. & Rollet, G. & Wu, F.Y., 1994. "Zeroes of the triangular Potts model partition function: a conjectured distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 441-453.
    4. Stephenson, John, 1988. "Partition function zeros for the two-dimensional Ising model V," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 148(1), pages 107-123.

    More about this item

    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:154:y:1989:i:2:p:324-343. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.