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Phys. Rev. E 71, 011112 (2005) [8 pages]

Self-consistent transport dynamics for localized waves

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O. I. Lobkis and R. L. Weaver*
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Illinois 61801, USA

Received 24 June 2004; published 21 January 2005

We find that the Vollhardt and Wolfle self-consistent theory of Anderson localization makes simple predictions for transport dynamics in unbounded one- and two-dimensional media. These predictions are derived and explored and compared with direct numerical simulations.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.011112
DOI:
10.1103/PhysRevE.71.011112
PACS:
05.60.Gg, 46.65.+g, 43.20.+g, 42.25.−p

*Corresponding author. FAX: 217-244-5707. Electronic address: r-weaver@uiuc.edu