Phys. Rev. Lett. 88, 178301 (2002) [4 pages]Tracer Diffusion in a Dislocated Lamellar SystemReceived 25 June 2001; published 15 April 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.178301
DOI:
10.1103/PhysRevLett.88.178301
PACS:
82.70.Uv
See AlsoReply: Doru Constantin and Robert Hołyst, Comment on “Tracer Diffusion in a Dislocated Lamellar System”, Phys. Rev. Lett. 91, 039801 (2003). Reply: V. Gurarie and A. E. Lobkovsky, Gurarie and Lobkovsky Reply:, Phys. Rev. Lett. 91, 039802 (2003). |
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