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Related Experiment Videos

Discrete breathers and delocalization in nonlinear disordered systems

Kopidakis1, Aubry

  • 1Laboratoire Leon Brillouin (CEA-CNRS), CEA Saclay, 91191 Gif-sur-Yvette Cedex, France.

Physical Review Letters
|October 6, 2000
PubMed
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Researchers discovered novel time-periodic solutions called intraband discrete breathers (IDBs) in random nonlinear systems. These IDBs can propagate energy, offering new insights into energy relaxation in materials like glasses.

Area of Science:

  • Nonlinear Dynamics
  • Condensed Matter Physics
  • Materials Science

Background:

  • Understanding energy transport in disordered systems is crucial for materials science.
  • Discrete breathers are localized nonlinear modes that can potentially confine and transport energy.

Purpose of the Study:

  • To find exact localized time-periodic solutions in random nonlinear models.
  • To investigate the properties and behavior of intraband discrete breathers (IDBs).

Main Methods:

  • A novel self-consistent method was employed to find exact solutions.
  • Analysis of IDB frequencies within the linearized spectrum and their relation to forbidden gaps.

Main Results:

  • Exact localized intraband discrete breathers (IDBs) were identified in random nonlinear models.

Related Experiment Videos

  • IDB frequencies form fat Cantor sets in infinite systems, existing between forbidden gaps.
  • Localized IDBs delocalize into multisite IDBs that can propagate energy, a phenomenon not predicted by existing theories.

    • Conclusions:

    • The findings introduce a new class of energy-carrying nonlinear modes in disordered systems.
    • The discovered IDBs have potential implications for understanding energy relaxation mechanisms in amorphous materials and glasses.