Regular solution monolayer approximation

The surface composition in the regular-solution monolayer approximation is given by... 

In reality, however, metallic alloys are not ideal solutions since they have some finite heat of mixing. In such a case the surface composition can be approximated in the regular solution monolayer approximation... 

The purpose of this paper will be to develop a generalized treatment extending the earlier mixed micelle model (I4) to nonideal mixed surfactant monolayers in micellar systems. In this work, a thermodynamic model for nonionic surfactant mixtures is developed which can also be applied empirically to mixtures containing ionic surfactants. The form of the model is designed to allow for future generalization to multiple components, other interfaces and the treatment of contact angles. The use of the pseudo-phase separation approach and regular solution approximation are dictated by the requirement that the model be sufficiently tractable to be applied in realistic situations of interest. 

Real polymers live in spatial dimension d= > (ordinary polymer solutions) or in some cases in / = 2 (polymer monolayers confined to an interface" " ). Nevertheless, it is of great conceptual value to define and study the mathematical models— in particular, the SAW— in a general dimension d. This permits us to distinguish clearly between the general features of polymer behavior (in any dimension) and the special features of polymers in dimension d= 3. The use of arbitrary dimensionality also makes available to theorists some useful technical tools (e.g., dimensional regularization) and some valuable approximation schemes (e.g., expansion in [Pg.51]

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