Hydrodynamic Attraction and Hindered Diffusion Govern First-passage Times of Swimming Microorganisms

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Main Authors: Baouche, Yanis, Goff, Magali Le, Franosch, Thomas, Kurzthaler, Christina
Format: Preprint
Published: 2025
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author Baouche, Yanis
Goff, Magali Le
Franosch, Thomas
Kurzthaler, Christina
author_facet Baouche, Yanis
Goff, Magali Le
Franosch, Thomas
Kurzthaler, Christina
contents The motion of microorganisms in their natural habitat is strongly influenced by their propulsion mechanisms, geometrical constraints, and random fluctuations. Here, we study numerically the first-passage-time (FPT) statistics of microswimmers, modeled as force-dipoles, to reach a no-slip wall. Our results demonstrate that hindered diffusion near the wall can increase the median FPT by orders of magnitude compared to "dry" agents, while the intricate interplay of active motion and hydrodynamic attraction speeds up the arrival at large Péclet numbers (measuring the importance of self-propulsion relative to diffusion). Strikingly, it leads to a non-monotonic behavior as a function of the dipole strength, where pushers reach the wall significantly faster than pullers. The latter become slower at an intermediate dipole strength and are more sensitive to their initial orientation, displaying a highly anisotropic behavior.
format Preprint
id arxiv_https___arxiv_org_abs_2509_14765
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hydrodynamic Attraction and Hindered Diffusion Govern First-passage Times of Swimming Microorganisms
Baouche, Yanis
Goff, Magali Le
Franosch, Thomas
Kurzthaler, Christina
Soft Condensed Matter
Biological Physics
The motion of microorganisms in their natural habitat is strongly influenced by their propulsion mechanisms, geometrical constraints, and random fluctuations. Here, we study numerically the first-passage-time (FPT) statistics of microswimmers, modeled as force-dipoles, to reach a no-slip wall. Our results demonstrate that hindered diffusion near the wall can increase the median FPT by orders of magnitude compared to "dry" agents, while the intricate interplay of active motion and hydrodynamic attraction speeds up the arrival at large Péclet numbers (measuring the importance of self-propulsion relative to diffusion). Strikingly, it leads to a non-monotonic behavior as a function of the dipole strength, where pushers reach the wall significantly faster than pullers. The latter become slower at an intermediate dipole strength and are more sensitive to their initial orientation, displaying a highly anisotropic behavior.
title Hydrodynamic Attraction and Hindered Diffusion Govern First-passage Times of Swimming Microorganisms
topic Soft Condensed Matter
Biological Physics
url https://arxiv.org/abs/2509.14765