Osmotic part, Helmholtz free energy

The Helmholtz free energy F consists of an electric part Fel and an osmotic part F°sm. In Appendix A of reference [13], the electric part Fel is represented generally as a functional of the mean electric potential (x) as follows ... 

For the outer region RJ u Rj outside the plates, the electric part and the osmotic part of the Helmholtz free energy are given by Equation 6.34 and Equation 6.35, respectively. Similarly, from Equation 6.45 and Equation 6.46, the electric part and the osmotic part of the Gibbs free energy in the outer region RJ u R, are determined as... 

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