Dimensionless equation of state

All fluids which can be modeled by an unknown potential in terms of e and d according to these assumptions are conformal and their dimensionless equations of state can be represented in terms of the reference fluid, k, in the form ... 

It can be shown that Eq. (3.41) can be used also for the approximate description of non-ideal mixtures of surfactants, n in Eq. (3.30) cein be expressed via the terms biCi using the isotherms (3.42). These products can in turn be expressed via the Oj values for individual solutions using Eqs. (3.1) and (3.2). This leads to a (dimensionless) equation of state for a mixed surface layer... 

Simple Cell Model of Prigogine et al. The cell model by Frigogine et al. (10-12) is an extension of the cell model for small molecules by Lennard-Jones and Devonshire (68) to polymers. Each monomer in the system is considered to be trapped in the cell created by the surroimdings. The general cell potential, generated by the smroimdings, is simplified to be athermal. This turns the simple cell model into a free volmne theory. The mean potential between the centers of different cells are described by the Lennard-Jones 6-12 potential. The dimensionless equation of state has the following form ... 

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