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Conditions for extreme sensitivity of protein diffusion in membranes to cell environments
Yaroslav Tserkovnyak, David R. Nelson
We study protein diffusion in multicomponent lipid membranes close to a rigid substrate separated by a layer of viscous fluid. The large-distance, long-time asymptotics for Brownia…
Nematic textures in spherical shells
Vincenzo Vitelli, David R. Nelson
The equilibrium texture of nematic shells is studied as a function of their thickness. For ultrathin shells the ground state has four short 1/2 disclination lines but, as the thick…
Crystallography on Curved Surfaces
Vincenzo Vitelli, Julius B. Lucks, David R. Nelson
We study static and dynamical properties that distinguish two dimensional crystals constrained to lie on a curved substrate from their flat space counterparts. A generic mechanism…