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Transport and localization amongst coupled substructures.

Richard L Weaver1

  • 1Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801, USA. r-weaver@uiuc.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
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We studied wave amplitude transport in coupled systems like quantum dots. A new theory predicts diffusive behavior at strong coupling and wave localization at longer coupling times, matching simulations.

Area of Science:

  • Physics
  • Quantum Mechanics
  • Wave Phenomena

Background:

  • Understanding wave transport in complex, coupled systems is crucial for applications in quantum dots and acoustics.
  • Previous theories often simplify the interactions between substructures, limiting their predictive power.

Purpose of the Study:

  • To examine the dynamics of mean-square diffuse wave amplitude transport in coupled substructures.
  • To develop and validate a self-consistent theory for wave transport in these systems.

Main Methods:

  • Developed a self-consistent theory to model wave amplitude transport.
  • Compared theoretical predictions with exact results, the Vollhardt-Wolfle theory, and direct numerical simulations.

Main Results:

Related Experiment Videos

  • The theory accurately predicts classical diffusive behavior under strong coupling conditions.
  • The theory predicts wave localization when coupling times approach or exceed Heisenberg times.

Conclusions:

  • The developed self-consistent theory provides a robust framework for understanding wave transport in coupled systems.
  • The findings highlight the transition from diffusive transport to localization based on coupling strength and time scales.