Dynamics of a colloidal particle driven by continuous time-delayed feedback

We perform feedback experiments and simulations in which a colloidal dumbbell particle, acting as a particle on a ring, is followed by a repulsive optical trap controlled by a continuous-time-delayed feedback protocol. The dynamics are described by a persistent random walk similarly to that of an ac...

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Bibliographic Details
Published in:Physical review. E Vol. 107; no. 6-1; p. 064601
Main Authors: Bell-Davies, Miranda C R, Curran, Arran, Liu, Yanyan, Dullens, Roel P A
Format: Journal Article
Language:English
Published: United States 01.06.2023
ISSN:2470-0053, 2470-0053
Online Access:Get more information
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Summary:We perform feedback experiments and simulations in which a colloidal dumbbell particle, acting as a particle on a ring, is followed by a repulsive optical trap controlled by a continuous-time-delayed feedback protocol. The dynamics are described by a persistent random walk similarly to that of an active Brownian particle, with a transition from predominantly diffusive to driven behavior at a critical delay time. We model the dynamics in the short and long delay regimes using stochastic delay differential equations and derive a condition for stable driven motion. We study the stochastic thermodynamic properties of the system, finding that the maximum work done by the trap coincides with a local minimum in the mutual information between the trap and the particle position at the onset of stable driven dynamics.
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ISSN:2470-0053
2470-0053
DOI:10.1103/PhysRevE.107.064601