Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2005-02-23
Physics
Condensed Matter
Soft Condensed Matter
14 pages, to appear in Phys Rev E
Scientific paper
10.1103/PhysRevE.72.011903
We study the stability and shapes of domains with spontaneous curvature in fluid films and membranes, embedded in a surrounding membrane with zero spontaneous curvature. These domains can result from the inclusion of an impurity in a fluid membrane, or from phase separation within the membrane. We show that for small but finite line and surface tensions and for finite spontaneous curvatures, an equilibrium phase of protruding circular domains is obtained at low impurity concentrations. At higher concentrations, we predict a transition from circular domains, or "caplets", to stripes. In both cases, we calculate the shapes of these domains within the Monge representation for the membrane shape. With increasing line tension, we show numerically that there is a budding transformation from stable protruding circular domains to spherical buds. We calculate the full phase diagram, and demonstrate a two triple points, of respectively bud-flat-caplet and flat-stripe-caplet coexistence.
Harden James L.
MacKintosh Fred C.
Olmsted Peter D.
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