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Transitional behavior in hydrodynamically coupled oscillators.

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Summary
This summary is machine-generated.

Synchronized and phase-locked states in colloidal rotors are influenced by driving force perturbations and trajectory deformations. These factors interact, leading to transitions between synchronized and phase-locked states in biomimetic designs.

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Area of Science:

  • Physics, soft matter
  • Biophysics
  • Fluid dynamics

Background:

  • Hydrodynamically coupled colloidal rotors serve as minimal models for biological cilia.
  • Synchrony in such systems is established through driving force perturbations and rotor trajectory deformations.

Purpose of the Study:

  • To investigate the complete set of synchronized and phase-locked states in pairs of colloidal rotors.
  • To analyze the interplay between driving force perturbation and trajectory deformation in establishing synchrony.
  • To explore transitions between synchronized and phase-locked states.

Main Methods:

  • Theoretical analysis and numerical simulations.
  • Experimental validation using holographic optical tweezers.
  • Systematic variation of driving force perturbation amplitude.

Main Results:

  • Driving force perturbation and trajectory deformation are of comparable importance in synchrony.
  • A transition from synchronized to phase-locked states is observed with increasing driving force perturbation.
  • The interaction between perturbation and deformation dictates system behavior.

Conclusions:

  • The study elucidates the mechanisms governing synchronized and phase-locked states in colloidal rotor pairs.
  • Findings offer insights into the design principles for biomimetic devices.
  • The research highlights the significance of coupled dynamics in minimal oscillator models.