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Related Concept Videos

Propagation of Waves01:07

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
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A wave is a disturbance that propagates from its source, repeating itself periodically, and is typically associated with simple harmonic motion. Mechanical waves are governed by Newton's laws and require a medium to travel. A medium is a substance in which a mechanical wave propagates, and the medium produces an elastic restoring force when it is deformed.
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Sound Waves01:01

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Sound waves can be thought of as fluctuations in the pressure of a medium through which they propagate. Since the pressure also makes the medium's particles vibrate along its direction of motion, the waves can be modeled as the displacement of the medium's particles from their mean position.
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Theories of Dissolution: Diffusion Layer Model01:15

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The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Local diffusion theory for localized waves in open media.

Chu-Shun Tian1, Sai-Kit Cheung, Zhao-Qing Zhang

  • 1Institut für Theoretische Physik, Universität zu Köln, Köln, Germany.

Physical Review Letters
|January 15, 2011
PubMed
Summary
This summary is machine-generated.

Disorder in open media causes wave transport to exhibit new diffusive behavior, challenging existing localization theories. This study reveals insights into Anderson localization in open systems.

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Area of Science:

  • Condensed matter physics
  • Wave phenomena
  • Disordered systems

Background:

  • Anderson localization describes the suppression of wave propagation in disordered media.
  • Previous theories often assume negligible resonant transmission effects in open systems.
  • Understanding wave transport in open, quasi-one-dimensional media is crucial for various physical phenomena.

Purpose of the Study:

  • To investigate static wave transport in quasi-one-dimensional open media.
  • To analyze the role of disorder-induced resonant transmissions on wave localization.
  • To compare first-principles predictions with numerical simulations and existing theories.

Main Methods:

  • First-principles theoretical calculations.
  • Numerical simulations of wave transport.
  • Analysis of disorder-induced resonant transmission phenomena.

Main Results:

  • Wave transport in these systems is dominated by disorder-induced resonant transmissions.
  • A novel diffusive behavior in wave transport was observed.
  • The validity of the self-consistent localization theory was found to be limited under specific conditions.

Conclusions:

  • Disorder-induced resonant transmissions significantly impact wave transport in open media.
  • Existing localization theories may not fully capture the behavior in such systems.
  • This research opens new avenues for studying Anderson localization in open systems.