Topological instabilities of spherical vesicles.
نویسندگان
چکیده
Within the framework of the Helfrich elastic theory of membranes and of differential geometry, we study the relative stability of spherical vesicles and double bubbles. We find that not only temperature but also magnetic fields can induce topological transformations between spherical vesicles and double bubbles and provide a phase diagram for the equilibrium shapes.
منابع مشابه
ar X iv : 0 80 2 . 27 86 v 3 [ co nd - m at . s of t ] 1 0 Ju l 2 00 9 Topological instabilities of spherical vesicles
Self-assembled vesicles were experimentally observed to form a variety of shapes [1]. However most equilibrium vesicles are spherical. This is not surprising, because spheres are known to minimize not only the surface energy but also the elastic energy of vesicles [2]. In mathematics it has been proven that spheres have the least area to enclose and separate a given volume. The analogous proble...
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 80 1 Pt 1 شماره
صفحات -
تاریخ انتشار 2009