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Miranda C R Bell-Davies1,2, Arran Curran1,2, Yanyan Liu1

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We studied colloidal dumbbell particle dynamics controlled by a delayed optical trap. A critical delay time transitions behavior from diffusive to driven, enabling stable motion and revealing thermodynamic insights.

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Area of Science:

  • Soft matter physics
  • Statistical mechanics
  • Non-equilibrium systems

Background:

  • Colloidal particles are model systems for studying complex dynamics.
  • Feedback control is crucial for manipulating microscopic systems.
  • Active Brownian particle models describe self-propelled motion.

Purpose of the Study:

  • To investigate the dynamics of a colloidal dumbbell particle under time-delayed feedback control.
  • To identify the transition from diffusive to driven behavior.
  • To analyze the stochastic thermodynamic properties of the system.

Main Methods:

  • Experiments with colloidal dumbbell particles and repulsive optical traps.
  • Simulations of particle dynamics under continuous-time-delayed feedback.
  • Modeling using stochastic delay differential equations.
  • Analysis of stochastic thermodynamic quantities.

Main Results:

  • A transition from diffusive to driven dynamics was observed at a critical delay time.
  • A condition for stable driven motion was derived.
  • Maximum work done by the trap correlated with minimum mutual information.
  • Onset of stable driven dynamics was linked to thermodynamic properties.

Conclusions:

  • Time-delayed feedback can control colloidal particle dynamics, inducing a transition to driven behavior.
  • Stochastic delay differential equations effectively model these systems.
  • The interplay between feedback delay, particle dynamics, and thermodynamics is significant.