A simple model of a vesicle drop in a confined geometry
AL Owczarek, T Prellberg
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | IOP PUBLISHING LTD | Published : 2010
We present the exact solution of a two-dimensional directed walk model of a drop, or half-vesicle, confined between two walls, and attached to one wall. This model is also a generalization of a polymer model of steric stabilization recently investigated. We explore the competition between a sticky potential on the two walls and the effect of a pressure-like term in the system. We show that a negative pressure ensures the drop/polymer is unaffected by confinement when the walls are a macroscopic distance apart.
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Financial support from the Australian Research Council via its support for the Centre of Excellence for Mathematics and Statistics of Complex Systems is gratefully acknowledged by the authors. A L Owczarek thanks the School of Mathematical Sciences, Queen Mary, University of London for hospitality.