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Phys. Rev. E 73, 036610 (2006) [8 pages]

Transport and localization amongst coupled substructures

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Richard L. Weaver*
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, Illinois 61801, USA

Received 19 August 2004; revised 29 November 2005; published 15 March 2006

The dynamics of the transport of the mean-square diffuse wave amplitude among coupled substructures is examined. Applications include coupled quantum dots, reverberation rooms, and chaotic billiards. A self-consistent theory is found to predict classical diffusive behavior at strong coupling, but to predict localization when coupling times are comparable to or greater than Heisenberg times. Predictions are compared to an exact result, to the Vollhardt-Wolfle self-consistent theory for multiply scattering continua, and to direct numerical simulations.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.73.036610
DOI:
10.1103/PhysRevE.73.036610
PACS:
43.20.+g, 05.60.Gg, 43.40.+s, 46.65.+g

*Electronic address: r-weaver@uiuc.edu