volume 60, issue 9, P3674-3677 1974
DOI: 10.1063/1.1681587
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Abstract: The following features of the theory of van der Waals and of Cahn and Hilliard are proven to be true: It is possible to find a local free energy qt" depending upon T and the density profile, that sums (over i) to give the total free energy of the system; when the total free energy is minimized with respect to the density profile, the exact equilibrium profile results. The local free energy has the form qti =8 i +f.LiPi' where Pi is the local density and 8, and fL, both depend upon T and the entire density pro…

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