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The gradient theory of phase transitions and the minimal interface criterion. (English) Zbl 0616.76004
Some conjectures concerning the Van der Waals-Cahn-Hilliard theory of phase transitions are proved. The main result is the following: to recover, in the frame of this theory, the physical reasonable criterion that the interface has minimal area one has to model interfacial energy by the dependence on the density gradient.
Reviewer: V.A.Zagrebnov

MSC:
76A02 Foundations of fluid mechanics
82B26 Phase transitions (general) in equilibrium statistical mechanics
49S05 Variational principles of physics
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