title: Tracer diffusion in a dislocated lamellar system.
abstract: Many lamellar systems exhibit strongly anisotropic diffusion. When the diffusion across the lamellae is slow, an alternative mechanism for transverse transport becomes important. A tracer particle can propagate across the lamellae by encircling a screw dislocation. We calculate the statistical properties of this mode of transverse transport. When either positive or negative dislocations are in excess, transport across the lamellae is ballistic. When the average dislocation charge is zero, the mean square of the normal displacement grows like TlogT for large times. To obtain this result, the trajectory of the tracer must be smoothed over distances of order of the dislocation core size.
authors: Department of Physics, Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 1JP, United Kingdom.
authors: Victor
authors: V
authors: Gurarie
authors: Alexander E
authors: AE
authors: Lobkovsky
mesh_terms: D016880:Anisotropy; D004058:Diffusion; D008051:Lipid Bilayers / Q000737:chemistry; D008962:Models, Theoretical
chemical_list: D008051:Lipid Bilayers