One-dimensional multicomponent mixtures

It is shown that a one-dimensional multicomponent mixture with nearest neighbour interactions uij(r) obeys the implicit equation of state where λ i is the absolute activity of species i (divided by a kinetic factor) and The concentration of species i is thence determined as A one-dimensional solution is ideal if, and only if, the matrix [η ij ] is of rank unity. The excess free energy of a nearly ideal solution is found to be where Gij(T, P) is the (configurational) molar Gibbs free energy of a ‘hybrid’ species with interaction potential uij(r).