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

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  • 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
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    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.
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