2001/10/24 by Victor Gurarie, Alexander E. Lobkovsky
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.88.178301
published as Phys. Rev. Lett. 88, 178301 (2002) · 5 pages, 2 figures, RevTeX 4
arxiv created 2001/10/24 · openalex publication_date 2002/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.