Interfacial critical phenomena at semipermeable membranes

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Abstract
We find the critical behavior at a semipermeable membrane, separating a binary mixture into two fluids, to be equivalent to that of a semi-infinite ferromagnet with surface enhancement g. The complete ‘‘magnetic’’ surface phase diagram is reproduced isothermally through variation of concentration of the constrained species, since g is determined here by the undersaturation imposed by the membrane. The additional degrees of freedom allow for ‘‘special’’ transition end points and other interfacial multicritical points.