IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v115y1982i1p85-100.html
   My bibliography  Save this article

Cooperative phenomena in monolayers at the water surface: A monomer-dimer lattice gas model

Author

Listed:
  • Bell, G.M.
  • Wilson, G.L.

Abstract

We aim to explain certain cooperative phenomena displayed by monolayers at the air/water or oil/water interfaces, consisting of molecules with polar headgroups immersed in water attached to hydrocarbon chains in the other medium. In addition to vapour-liquid transitions, the cooperative phenomena are continuous liquid condensed-liquid expanded transitions and, for bipolar molecules, extensive regions of negative thermal expansion in the surface pressure/area plane. A two-dimensional lattice gas model is postulated, in which each molecule can exist in either an upright monomer state with two distinct orientations or a laterally extended (dimer) state. A two-site cluster variation (Bethe) statistical approximation is used with nearest-neighbour interactions and a long-range interaction. Patterns of isotherms corresponding to four quite different types of monolayer behaviour are calculated.

Suggested Citation

  • Bell, G.M. & Wilson, G.L., 1982. "Cooperative phenomena in monolayers at the water surface: A monomer-dimer lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(1), pages 85-100.
    • Handle: RePEc:eee:phsmap:v:115:y:1982:i:1:p:85-100
    DOI: 10.1016/0378-4371(82)90129-7
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437182901297
    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)90129-7?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. David Chapman, 1968. "Models of the working of a two-party electoral system Part II," Public Choice, Springer, vol. 5(1), pages 19-37, September.
    2. Alemson, M A & Burley, H T, 1974. "Demand and Entry into an Oligopolistic Market: A Case Study," Journal of Industrial Economics, Wiley Blackwell, vol. 23(2), pages 109-124, December.
    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. Kaye, R.D., 1981. "Orientational transitions in a dimer system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(1), pages 347-356.
    2. Ravi Kumar, K. & Hadjinicola, George C., 1996. "Resource allocation to defensive marketing and manufacturing strategies," European Journal of Operational Research, Elsevier, vol. 94(3), pages 453-466, November.
    3. Kox, A.J. & Wiegel, F.W., 1978. "Statistical mechanics of a lipid monolayer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 466-474.
    4. Möhwald, H. & Kenn, R.M. & Degenhardt, D. & Kjaer, K. & Als-Nielsen, J., 1990. "Partial order in phospholipid monolayers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 127-139.
    5. Scott L. Feld & Bernard Grofman, 1991. "Incumbency Advantage, Voter Loyalty and the Benefit of the Doubt," Journal of Theoretical Politics, , vol. 3(2), pages 115-137, April.
    6. Kaye, R.D. & Burley, D.M., 1977. "Square lattice calculations for the general dimer and trimer problems using the Kikuchi method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(3), pages 499-514.

    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:115:y:1982:i:1:p:85-100. 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.