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Anomalous size-dependence of interfacial profiles between coexisting phases of polymer mixtures in thin film geometry: A Monte-Carlo simulation | | Andreas Werner
; Friederike Schmid
; Marcus Mueller
; Kurt Binder
; | | Date: |
20 Aug 1997 | | Subject: | Statistical Mechanics; Soft Condensed Matter | cond-mat.stat-mech cond-mat.soft | | Affiliation: | Johannes Gutenberg Universitaet Mainz, Germany | | Abstract: | The interfacial profile between coexisting phases of a binary mixture (A,B) in a thin film of thickness D and lateral linear dimensions L depends sensitively on both linear dimensions and on the nature of boundary conditions and statistical ensembles applied. These phenomena generic for systems in confined geometry are demonstrated by Monte-Carlo simulations of the bond fluctuation model of symmetric polymer mixtures. Both the canonical and semi-grand-canonical ensemble are studied. In the canonical ensemble, the interfacial width w increases (from small values which are of the same order as the intrinsic profile) like sqrt{D}, before a crossover to a saturation value w_max (w_max^2 proportional to ln L) sets in. In the semi-grand-canonical ensemble, however, one finds the same widths (w proportional to sqrt{D}) as in the canonical ensemble for not too large L, while for large L the interfacial profile is smeared out over a finite fraction of the film thickness (w proportional to D for D -> infinity). We discuss the implications of these findings for the interpretation of both simulations and experiments. | | Source: | arXiv, cond-mat/9708153 | | Services: | Forum | Review | PDF | Favorites | |
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