Synchronization and alignment of model oscillators based on Quincke rotation

Area of Science:

• Soft Matter Physics
• Active Matter Systems
• Colloidal Science

Background:

• Quincke oscillators are colloidal spheres in conductive fluids that oscillate under strong electric fields.
• These oscillators demonstrate self-organization, movement, alignment, and synchronization, forming dynamic particle assemblies.
• They serve as a fundamental model for active matter research.

Purpose of the Study:

• To develop a dynamical model for single Quincke oscillator oscillations.
• To investigate the coupled dynamics of two Quincke oscillators.
• To identify conditions for sustained oscillations and understand collective behaviors.

Main Methods:

• Developed a dynamical model incorporating charge, dipole, and quadrupole moments.
• Included particle rotation and charge accumulation at the particle-fluid interface.
• Investigated coupled dynamics with electric and hydrodynamic interactions, and conductivity gradients.
• Employed low-order approximations based on weakly coupled oscillator theory.

Main Results:

• The model accurately describes Quincke rotation dynamics, including effects of conductivity gradients.
• Two oscillators were found to align and synchronize their rotary oscillations along their line of centers.
• Sustained oscillations were identified as a function of field strength and conductivity gradient magnitude.
• Weakly coupled oscillator theory accurately reproduced and explained numerical results.

Conclusions:

• The developed model provides a framework for understanding Quincke oscillator dynamics and collective behaviors.
• The findings elucidate the conditions necessary for sustained oscillations and synchronized motion.
• This work advances the study of active matter through self-oscillating colloidal units.