Transport and localization amongst coupled substructures.
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.
Weaver
Richard L
RL
Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801, USA. r-weaver@uiuc.edu