IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v148y1988i1p107-123.html
   My bibliography  Save this article

Partition function zeros for the two-dimensional Ising model V

Author

Listed:
  • Stephenson, John

Abstract

The boundaries of regions containing complex temperature zeros of the partition function of the two-dimensional Ising model on partially anisotropic triangular lattices are investigated in detail. A “diagonal” symmetry of one of the boundaries on lattices with one “odd” and two equal “even” interactions is accounted for. A bifurcation of the other boundary at the imaginary axis is observed (for the two examples considered) on lattices with all “odd” interactions. An explanation of this bifurcation is provided. The locations of pure imaginary boundary points, and the end-points of lines of pure imaginary zeros, when present (on lattices with all “odd” interactions), have been related to the critical and disorder point equations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:148:y:1988:i:1:p:107-123
    DOI: 10.1016/0378-4371(88)90137-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437188901379
    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(88)90137-9?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 & 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.
    2. Turnbull, Geoffrey K. & Niho, Yoshio, 1986. "The optimal property tax with mobile nonresidential capital," Journal of Public Economics, Elsevier, vol. 29(2), pages 223-239, March.
    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. Geoffrey K. Turnbull & Michael T. Tasto, 2008. "Independent Cities and Counties in Virginia: Substitute Jurisdictions?," Urban Studies, Urban Studies Journal Limited, vol. 45(1), pages 53-66, January.
    4. 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.
    5. Turnbull Geoffrey & Salvino Robert & Tasto Michael, 2018. "Using Eminent Domain for Economic Development: Does it Increase Private Sector Employment?," Review of Law & Economics, De Gruyter, vol. 14(3), pages 1-24, November.
    6. Geoffrey Turnbull & Gyusuck Geon, 2006. "Local government internal structure, external constraints and the median voter," Public Choice, Springer, vol. 129(3), pages 487-506, December.
    7. Eberts, Randall W. & Gronberg, Timothy J., 1990. "Structure, Conduct, and Performance in the Local Public Sector," National Tax Journal, National Tax Association;National Tax Journal, vol. 43(2), pages 165-173, June.
    8. Temimi, Akram & Dix, Manfred, 2001. "Federal grants and the flight to the suburbs1," The Quarterly Review of Economics and Finance, Elsevier, vol. 41(4), pages 533-543.
    9. Nishaal Gooroochurn, 2009. "Optimal Commodity Taxation in the Presence of Tourists," International Economic Journal, Taylor & Francis Journals, vol. 23(2), pages 197-209.

    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:148:y:1988:i:1:p:107-123. 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.