Efficient control protocols for an active Ornstein-Uhlenbeck particle
Deepak Gupta, Sabine H. L. Klapp, David A. Sivak
Abstract
Designing a protocol to efficiently drive a stochastic system is an active field of research. Here we extend such control theory to an active Ornstein-Uhlenbeck particle (AOUP) in a bistable potential, driven by a harmonic trap. We find that protocols designed to minimize the excess work (up to linear response) perform better than naive protocols with constant velocity for a wide range of protocol durations.
Topics & Concepts
Protocol (science)Constant (computer programming)Ornstein–Uhlenbeck processBistabilityWork (physics)Particle (ecology)Computer scienceRange (aeronautics)Tracking (education)Trap (plumbing)Control (management)HarmonicControl theory (sociology)PhysicsStatistical physicsStochastic processQuantum mechanicsMathematicsMaterials scienceArtificial intelligencePedagogyAlternative medicineComposite materialMedicinePathologyStatisticsOceanographyPsychologyGeologyProgramming languageMeteorologyAdvanced Thermodynamics and Statistical MechanicsMicro and Nano Roboticsstochastic dynamics and bifurcation