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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…
Transverse Meissner Physics of Planar Superconductors with Columnar Pins
Gil Refael, Walter Hofstetter, David R. Nelson
The statistical mechanics of thermally excited vortex lines with columnar defects can be mapped onto the physics of interacting quantum particles with quenched random disorder in o…
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…
Vortex pinning by meandering line defects in planar superconductors
Eleni Katifori, David R. Nelson
To better understand vortex pinning in thin superconducting slabs, we study the interaction of a single fluctuating vortex filament with a curved line defect in (1+1) dimensions. T…