Free energy of a nonuniform system. I. Interfacial free energy

JW Cahn, JE Hilliard - The Journal of chemical physics, 1958 - pubs.aip.org
It is shown that the free energy of a volume V of an isotropic system of nonuniform
composition or density is given by: NV∫ V [f 0 (c)+ κ (▿ c) 2] dV, where NV is the number of
molecules per unit volume,▿ c the composition or density gradient, f 0 the free energy per
molecule of a homogeneous system, and κ a parameter which, in general, may be
dependent on c and temperature, but for a regular solution is a constant which can be
evaluated. This expression is used to determine the properties of a flat interface between …