IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v112y1982i1p51-64.html
   My bibliography  Save this article

The asymptotic form of the cluster partition function in a two-dimensional lattice gas

Author

Listed:
  • Dickman, R.
  • Schieve, W.C.

Abstract

The partition function, Zp, of a cluster of p particles in a lattice gas depends on the number of lattice embeddings of labelled, connected graphs with p points and a given number of lines. We have determined the asymptotic behavior of this quantity for the triangular lattice. It appears that a similar behavior obtains in the square lattice. We find that Zp⋍ekp−μ√p as p→∞. For small clusters, the surface energy is significantly greater than its asymptotic value.

Suggested Citation

  • Dickman, R. & Schieve, W.C., 1982. "The asymptotic form of the cluster partition function in a two-dimensional lattice gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 51-64.
    • Handle: RePEc:eee:phsmap:v:112:y:1982:i:1:p:51-64
    DOI: 10.1016/0378-4371(82)90208-4
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437182902084
    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(82)90208-4?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Petrosky, T. & Prigogine, I., 1991. "Alternative formulation of classical and quantum dynamics for non-integrable systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 175(1), pages 146-209.
    2. Boeglin, Alex & Xing-Guo, Zhang & Lin, S.H., 1986. "On the microscopic approach of the mean field kinetic Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 439-453.
    3. van Wonderen, A.J. & Douwes, B.J. & Suttorp, L.G., 1989. "Stability analysis for absorptive optical bistability in a Fabry-Pérot cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 907-932.

    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:112:y:1982:i:1:p:51-64. 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.