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

G.M. Bell and G.L. Wilson

Physica A: Statistical Mechanics and its Applications, 1982, vol. 115, issue 1, 85-100

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.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:115:y:1982:i:1:p:85-100

DOI: 10.1016/0378-4371(82)90129-7

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