PreprintCC BY 4.0arXiv
Partial Entropy production of active particles with hidden states in potentials
Abstract
Partially observed stochastic systems can appear (almost) time-reversal symmetric while in fact operating far from equilibrium. The present work extends the perturbative framework introduced in [Phys. Rev. Lett. 136, 198302 (2026)] to calculate in a generic confining potential the partial entropy production, which quantifies the time-reversal asymmetry of a generic active particle with hidden self-propulsion. Focusing on the harmonic case, we apply our framework to reproduce an exact result for the partial entropy production rate of an active Ornstein-Uhlenbeck particle and to derive the partial entropy production rate of a run-and-tumble particle.
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BibTeX
@misc{knight2026partial,
title = {{Partial Entropy production of active particles with hidden states in potentials}},
author = {Jacob Knight and Gunnar Pruessner},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.29201},
eprint = {2605.29201},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.29201},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Partial Entropy production of active particles with hidden states in potentials
AU - Jacob Knight
AU - Gunnar Pruessner
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2605.29201
UR - https://arxiv.org/abs/2605.29201
AB - Partially observed stochastic systems can appear (almost) time-reversal symmetric while in fact operating far from equilibrium. The present work extends the perturbative framework introduced in [Phys. Rev. Lett. 136, 198302 (2026)] to calculate in a generic confining potential the partial entropy production, which quantifies the time-reversal asymmetry of a generic active particle with hidden self-propulsion. Focusing on the harmonic case, we apply our framework to reproduce an exact result for the partial entropy production rate of an active Ornstein-Uhlenbeck particle and to derive the partial entropy production rate of a run-and-tumble particle.
ER -