Active particles in a tube: A generalized entropy potential approach

We study the transport of self-propelled noninteracting active Brownian particles and run-and-tumble particles in long tubes of varying widths. Using a moment expansion, we construct a generalized Fick-Jacobs framework for the active particles when the tube width is large and slowly varying. We show...

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Main Author: Yongfeng Zhao
Format: Article
Language:English
Published: American Physical Society 2025-01-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.013015
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author Yongfeng Zhao
author_facet Yongfeng Zhao
author_sort Yongfeng Zhao
collection DOAJ
description We study the transport of self-propelled noninteracting active Brownian particles and run-and-tumble particles in long tubes of varying widths. Using a moment expansion, we construct a generalized Fick-Jacobs framework for the active particles when the tube width is large and slowly varying. We show that the variation of the particle density along the tube is well described by a one-dimensional generalized entropy potential. This potential resembles its passive counterpart, albeit with an effective temperature and an effective tube width that are renormalized by the activity. Our generalized entropy potential approach allows us to predict the steady-state density distribution along the tube as well as the mean-escape time out of a spindle chamber. Finally, we show how to account for the emergence of spontaneous ratchet flows in asymmetric channels by including higher-order corrections neglected in the effective entropy potential approach.
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spelling doaj-art-3d430a30e2e949bfa0fc92147d9fd4442025-08-20T02:54:11ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-017101301510.1103/PhysRevResearch.7.013015Active particles in a tube: A generalized entropy potential approachYongfeng ZhaoWe study the transport of self-propelled noninteracting active Brownian particles and run-and-tumble particles in long tubes of varying widths. Using a moment expansion, we construct a generalized Fick-Jacobs framework for the active particles when the tube width is large and slowly varying. We show that the variation of the particle density along the tube is well described by a one-dimensional generalized entropy potential. This potential resembles its passive counterpart, albeit with an effective temperature and an effective tube width that are renormalized by the activity. Our generalized entropy potential approach allows us to predict the steady-state density distribution along the tube as well as the mean-escape time out of a spindle chamber. Finally, we show how to account for the emergence of spontaneous ratchet flows in asymmetric channels by including higher-order corrections neglected in the effective entropy potential approach.http://doi.org/10.1103/PhysRevResearch.7.013015
spellingShingle Yongfeng Zhao
Active particles in a tube: A generalized entropy potential approach
Physical Review Research
title Active particles in a tube: A generalized entropy potential approach
title_full Active particles in a tube: A generalized entropy potential approach
title_fullStr Active particles in a tube: A generalized entropy potential approach
title_full_unstemmed Active particles in a tube: A generalized entropy potential approach
title_short Active particles in a tube: A generalized entropy potential approach
title_sort active particles in a tube a generalized entropy potential approach
url http://doi.org/10.1103/PhysRevResearch.7.013015
work_keys_str_mv AT yongfengzhao activeparticlesinatubeageneralizedentropypotentialapproach