Diffusion in the Presence of Topological Disorder
- 31 October 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 73 (18) , 2382-2385
- https://doi.org/10.1103/physrevlett.73.2382
Abstract
A general framework is presented for the discussion of Brownian motion in crystals with randomly distributed topological defects. In a two-dimensional lattice with disclinations one finds a nonuniversal subdiffusional behavior if screening in the disclination ensemble is taken into account. Without screening, a Sinai-type diffusion is expected. In a three-dimensional random array of parallel screw dislocations, a Brownian particle shows anisotropic normal diffusion. However, the process no longer is Gaussian and displays long-time tails in the fourth-order cumulants.Keywords
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