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Emergence of spatiotemporal dislocation chains in drifting patterns.

M G Clerc1, C Falcón1, M A García-Ñustes2

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla, 487-3 Santiago, Chile.

Chaos (Woodbury, N.Y.)
|July 3, 2014
PubMed
Summary
This summary is machine-generated.

Complex spatiotemporal dynamics in one-dimensional patterns arise from phase instability and inhomogeneous advection. This leads to perpetual dislocation chains, observed in optical and granular systems.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Complex Systems

Background:

  • One-dimensional patterns exhibit complex spatiotemporal dynamics under external forces.
  • Spatiotemporal dislocation chains are a key feature of these dynamics.

Purpose of the Study:

  • To explain the universal mechanism behind the emergence of spatiotemporal dislocation chains.
  • To verify this mechanism in different physical systems.

Main Methods:

  • Utilized a universal amplitude equation for drifting patterns.
  • Performed numerical simulations on an optical feedback system.
  • Conducted experimental studies on a granular system.

Main Results:

  • Identified phase instability and inhomogeneous advection as the driving forces.
  • Confirmed the emergence of dislocation chains in numerical simulations.
  • Observed the phenomenon experimentally in a granular medium.

Conclusions:

  • The universal mechanism explains spatiotemporal dislocation chains in diverse systems.
  • Phase instability coupled with advection drives complex pattern dynamics.
  • Findings applicable to optical and granular physics.