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Optimal closed-loop control of active particles and a minimal information engine

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arxiv 2407.18542 v2 pith:WTDZ723U submitted 2024-07-26 cond-mat.stat-mech

classification cond-mat.stat-mech
keywords activeparticleinformationoptimalworkclosed-loopengineminimum
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We study the elementary problem of moving an active particle by a trap with minimum work input. We show analytically that (open-loop) optimal protocols are not affected by activity, but work fluctuations are always increased. For closed-loop protocols, which rely on initial measurements of the self-propulsion, the average work has a minimum for a finite persistence time. Using these insights, we derive an optimal periodic active information engine, which is found to have higher precision and information efficiency when operated with a run-and-tumble particle than for an active Ornstein-Uhlenbeck particle and, we argue, than for any other type of active particle.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Self-propulsion symmetries determine entropy production of active particles with hidden states

    cond-mat.stat-mech 2025-07 conditional novelty 8.0 of 10

    The parity and time-reversal symmetries of a particle's hidden self-propulsion determine whether and at what order in speed its observed trajectory violates time-reversal symmetry.

  2. Information-optimal mixing at low Reynolds number

    cond-mat.stat-mech 2025-02 conditional novelty 7.0 of 10

    Exact optimal mixing protocols for planar shear flows are a mid-time impulse under fixed shear and an elliptic-sine waveform under fixed dissipation, yielding bounds on the energy cost of erasing information.

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