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Related Experiment Videos

Cooling nonlinear lattices toward energy localization.

Francesco Piazza1, Stefano Lepri, Roberto Livi

  • 1I.N.F.M. UdR di Firenze, Via G. Sansone 1, 50019 Sesto F.no, Italy. piazza@fi.infn.it

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

Localized vibrations in anharmonic oscillator lattices slow energy dissipation, creating trapped energy states. This phenomenon, resembling glassy dynamics in 1D, is influenced by boundary conditions and breather spectrum gaps in 2D.

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Area of Science:

  • Nonlinear dynamics
  • Condensed matter physics
  • Statistical mechanics

Background:

  • Classical anharmonic oscillators exhibit complex energy dynamics.
  • Surface damping influences energy relaxation in oscillatory systems.
  • Localized vibrations can emerge spontaneously in lattices.

Purpose of the Study:

  • To investigate energy relaxation in anharmonic oscillator lattices under surface damping.
  • To understand the formation and impact of localized vibrations (discrete breathers).
  • To analyze the role of dimensionality and boundary conditions on energy dissipation.

Main Methods:

  • Modeling energy relaxation in 1D and 2D lattices of classical anharmonic oscillators.
  • Analyzing the spontaneous emergence of localized vibrations (discrete breathers).

Related Experiment Videos

  • Investigating the effects of on-site coupling and boundary conditions.
  • Statistical analysis of breather energy distributions.

    • Main Results:

    • Spontaneous localized vibrations dramatically slow energy dissipation, forming quasistationary states.
    • In 1D, strong coupling can lead to stretched-exponential relaxation, mimicking glassy dynamics.
    • In 2D, a gap in the breather spectrum results in activated localization.
    • Breather energy distributions provide insights into their effective interactions.

    Conclusions:

    • Localized discrete breathers are key to understanding slow energy relaxation and quasistationary states in these systems.
    • Dimensionality and boundary conditions critically influence the localization and dissipation processes.
    • The study reveals mechanisms for energy trapping and provides a statistical framework for analyzing breather interactions.