IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v174y1991i2p391-405.html
   My bibliography  Save this article

Structure of the critical lines for the lattice gas model

Author

Listed:
  • Meijer, Paul H.E.
  • Pegg, Ian L.

Abstract

Despite its simplicity, the three-component lattice gas model (in which one component is “holes”) for compressible binary mixtures is known to have many important features of the global phase behavior in common with more realistic equations of state. In this paper the underlying structure of the critical lines in a composition-composition projection is investigated by demarking, but maintaining, all unstable segments in the diagrams. Changes in the class of phase behavior with variations of the interaction parameters are then seen to be frequently accompanied by premonitory changes in the critical lines occuring in the unstable regions. A principal transition mechanism is a “crossing point” at which two critical lines meet and exchange branches. An equation for the critical line is given in closed form and used to investigate major regions in the global phase diagram including symmetric sections and the Griffiths shield region.

Suggested Citation

  • Meijer, Paul H.E. & Pegg, Ian L., 1991. "Structure of the critical lines for the lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 391-405.
    • Handle: RePEc:eee:phsmap:v:174:y:1991:i:2:p:391-405
    DOI: 10.1016/0378-4371(91)90339-E
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719190339E
    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(91)90339-E?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. Griffiths, Mary, 1977. "Nutrition : Second European nutrition conference, Munich, 14-17 September 1976," Food Policy, Elsevier, vol. 2(1), pages 76-77, February.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Gençaslan, Mustafa & Keskin, Mustafa & Meijer, Paul H.E., 1995. "The Schouten et al. model applied to polymer mixture solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 397-406.

    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. Bakchich, A. & Benyoussef, A. & Touzani, M., 1992. "Phase diagrams of the Blume-Emery-Griffiths model: real-space renormalization group investigation and finite size scaling analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 524-533.
    2. Buzano, C., 1988. "Order-order and order-disorder transitions in the quantum spin-1 Ising-Heisenberg models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 54-76.
    3. Quadros, S.G.A. & Salinas, S.R., 1994. "Renormalization-group calculations for a mixed-spin Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(3), pages 479-496.
    4. Teubner, Max, 1992. "Composition fluctuations and the geometry of phase diagrams in multicomponent mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 184(3), pages 393-414.
    5. Meijer, Paul H.E., 1988. "Study of the critical line and its double point in the intermediate model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 359-364.
    6. Grigelionis, Gintautas & Rosengren, Anders, 1994. "Study of the Blume-Emery-Griffiths model on the triangular lattice by the cluster-variation method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(2), pages 287-299.

    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:174:y:1991:i:2:p:391-405. 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.