Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-08-27
Phys Rev E 64 (2001) 050903
Physics
Condensed Matter
Soft Condensed Matter
5 pages + 3 figures [revtex 4]
Scientific paper
10.1103/PhysRevE.64.050903
We report experimental observations of an undulational instability of myelin figures. Motivated by this, we examine theoretically the deformation and possible instability of concentric, cylindrical, multi-lamellar membrane structures. Under conditions of osmotic stress (swelling or dehydration), we find a stable, deformed state in which the layer deformation is given by \delta R ~ r^{\sqrt{B_A/(hB)}}, where B_A is the area compression modulus, B is the inter-layer compression modulus, and h is the repeat distance of layers. Also, above a finite threshold of dehydration (or osmotic stress), we find that the system becomes unstable to undulations, first with a characteristic wavelength of order \sqrt{xi d_0}, where xi is the standard smectic penetration depth and d_0 is the thickness of dehydrated region.
Chen Chiang-Mei
MacKintosh Fred C.
Olmsted Peter D.
Schmidt Christoph F.
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