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Efficient control protocols for an active Ornstein-Uhlenbeck particle.

Deepak Gupta1,2,3, Sabine H L Klapp3, David A Sivak2

  • 1Nordita, Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden.

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|September 19, 2023
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Summary
This summary is machine-generated.

Optimized protocols for controlling stochastic systems, like the active Ornstein-Uhlenbeck particle, minimize excess work. These efficient protocols outperform constant velocity methods across various durations.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Thermodynamics
  • Stochastic Processes

Background:

  • Stochastic systems require efficient control protocols for research and applications.
  • Active Ornstein-Uhlenbeck particle (AOUP) models are used to study driven systems.
  • Bistable potentials present challenges in controlling particle dynamics.

Purpose of the Study:

  • To design and evaluate efficient control protocols for an AOUP in a bistable potential.
  • To investigate the role of excess work minimization in protocol efficiency.
  • To compare optimized protocols against naive constant velocity protocols.

Main Methods:

  • Extending control theory for stochastic systems.
  • Simulating an AOUP driven by a harmonic trap in a bistable potential.
  • Analyzing excess work, particularly within linear response theory.

Main Results:

  • Protocols minimizing excess work show superior performance.
  • Optimized protocols are more effective than constant velocity protocols.
  • Performance improvement is observed across a broad range of protocol durations.

Conclusions:

  • Minimizing excess work is a key strategy for efficient stochastic system control.
  • The developed protocol design offers a significant improvement over existing methods.
  • This work advances the understanding of driven systems in non-equilibrium statistical physics.