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The interfacial profile between coexisting phases of a binary mixture (A,B)in a thin film of thickness D and lateral linear dimensions L dependssensitively on both linear dimensions and on the nature of boundary conditionsand statistical ensembles applied. These phenomena generic for systems inconfined geometry are demonstrated by Monte-Carlo simulations of the bondfluctuation model of symmetric polymer mixtures. Both the canonical andsemi-grand-canonical ensemble are studied. In the canonical ensemble, theinterfacial width w increases (from small values which are of the same order asthe intrinsic profile) like sqrt{D}, before a crossover to a saturation valuew_max (w_max^2 proportional to ln L) sets in. In the semi-grand-canonicalensemble, however, one finds the same widths (w proportional to sqrt{D}) as inthe canonical ensemble for not too large L, while for large L the interfacialprofile is smeared out over a finite fraction of the film thickness (wproportional to D for D -> infinity). We discuss the implications of thesefindings for the interpretation of both simulations and experiments.Comment: 42 pages, including 15 PS figures, to appear in JC

Anomalous size-dependence of interfacial profiles between coexisting phases of polymer mixtures in thin-film geometry: A Monte Carlo simulation