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Complex-ordered patterns in shaken convection.

Jeffrey L Rogers1, Werner Pesch, Oliver Brausch

  • 1HRL Laboratories, LLC, Malibu, California 90265, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 11, 2005
PubMed
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Complex fluid patterns emerge from combined experiments, showing exotic states with two spatial scales and distinct temporal behaviors. This research explores pattern formation in nonequilibrium systems.

Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Pattern formation

Background:

  • Standard pattern-forming experiments often exhibit harmonic or subharmonic temporal responses.
  • Understanding complex pattern coexistence is crucial for nonequilibrium systems.

Purpose of the Study:

  • To analyze complex patterns arising from the combination of two standard pattern-forming experiments.
  • To investigate exotic fluid states with dual spatial scales and distinct temporal dynamics.

Main Methods:

  • Experimental fluid layer subjected to vertical temperature gradients and time-periodic oscillations.
  • Analysis of fluid motion, identifying harmonic and subharmonic temporal responses.
  • Construction of phase diagrams to map pattern coexistence regions.

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Main Results:

  • Observed coexistence of distinct spatial scales, each with unique temporal dependence.
  • Identification of complex, highly ordered patterns, defined as quasiperiodic crystals or superlattices.
  • Demonstration that these patterns satisfy four-mode (resonant tetrad) conditions.

Conclusions:

  • The combined forcing mechanism leads to novel pattern formation distinct from resonant triads.
  • Spatial symmetry breaking influences pattern formation in a specific parameter region.
  • The findings offer new insights into the mechanisms of complex pattern generation in driven systems.