Diffusion in the presence of topological disorder

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...

Full description

Saved in:
Bibliographic Details
Published in:Physical review letters 1994-10, Vol.73 (18), p.2382-2385
Main Authors: Bausch, R, Schmitz, R, Turski, LA
Format: Article
Language:English
Subjects:
665300 > Interactions Between Beams & Condensed Matter-- (1992-)
ANISOTROPY
BROWNIAN MOVEMENT
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL DEFECTS
CRYSTAL STRUCTURE 661300 > Other Aspects of Physical Science-- (1992-)
CRYSTALS
DIFFUSION
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.73.2382