Physics – Condensed Matter
Scientific paper
1996-04-17
Physics
Condensed Matter
13 pages and 5 postscript figures. To appear in Phys. Rev E
Scientific paper
10.1103/PhysRevE.53.5123
We present a theoretical study for the intermediate stages of the growth of membranes and vesicles in supersaturated solutions of amphiphilic molecules. The problem presents important differences with the growth of droplets in the classical theory of Lifshitz-Slyozov-Wagner, because the aggregates are extensive only in two dimensions, but still grow in a three dimensional bath. The balance between curvature and edge energy favours the nucleation of small planar membranes, but as they grow beyond a critical size they close themselves to form vesicles. We obtain a system of coupled equations describing the growth of planar membranes and vesicles, which is solved numerically for different initial conditions. Finally, the range of parameters relevant in experimental situations is discussed.
Bettolo Marconi Umberto Marini
Somoza Andres M.
Tarazona Pedro
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