Optimal-work feedback on particles with activity --- gliding on active fluctuations using positional information
Abstract
We study the minimum-work feedback control of particles subject to active fluctuations. Considering an active Ornstein-Uhlenbeck particle confined by a moving harmonic trap, we derive exact optimal protocols following an initial position measurement. Our results show that nonequilibrium correlations between position and active fluctuations allow work extraction from the activity based on positional information only, i.e., without directly measuring the active degree of freedom, which was the focus of earlier literature. We find that depending on the persistence time, activity can either facilitate or impede transport relative to passive systems. Surprisingly, unlike feedback schemes based on direct measurements of the active fluctuations, positional feedback remains energetically advantageous even in the limit of infinitely persistent activity. Our results provide design principles for information engines and optimal control strategies operating in active environments.
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BibTeX
@misc{stutzer2026optimalwork,
title = {{Optimal-work feedback on particles with activity --- gliding on active fluctuations using positional information}},
author = {Lars Torbjørn Stutzer and Sarah A. M. Loos},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02720},
eprint = {2609.02720},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02720},
}
RIS
TY - UNPB
TI - Optimal-work feedback on particles with activity --- gliding on active fluctuations using positional information
AU - Lars Torbjørn Stutzer
AU - Sarah A. M. Loos
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2609.02720
UR - https://arxiv.org/abs/2609.02720
AB - We study the minimum-work feedback control of particles subject to active fluctuations. Considering an active Ornstein-Uhlenbeck particle confined by a moving harmonic trap, we derive exact optimal protocols following an initial position measurement. Our results show that nonequilibrium correlations between position and active fluctuations allow work extraction from the activity based on positional information only, i.e., without directly measuring the active degree of freedom, which was the focus of earlier literature. We find that depending on the persistence time, activity can either facilitate or impede transport relative to passive systems. Surprisingly, unlike feedback schemes based on direct measurements of the active fluctuations, positional feedback remains energetically advantageous even in the limit of infinitely persistent activity. Our results provide design principles for information engines and optimal control strategies operating in active environments.
ER -