First-passage-time statistics of active Brownian particles: A perturbative approach
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916646406324224 |
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| author | Baouche, Yanis Goff, Magali Le Kurzthaler, Christina Franosch, Thomas |
| author_facet | Baouche, Yanis Goff, Magali Le Kurzthaler, Christina Franosch, Thomas |
| contents | We study the first-passage-time (FPT) properties of active Brownian particles to reach an absorbing wall in two dimensions. Employing a perturbation approach we obtain exact analytical predictions for the survival and FPT distributions for small Péclet numbers, measuring the importance of self-propulsion relative to diffusion. While randomly oriented active agents reach the wall faster than their passive counterpart, their initial orientation plays a crucial role in the FPT statistics. Using the median as a metric, we quantify this anisotropy and find that it becomes more pronounced at distances where persistent active motion starts to dominate diffusion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_05401 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | First-passage-time statistics of active Brownian particles: A perturbative approach Baouche, Yanis Goff, Magali Le Kurzthaler, Christina Franosch, Thomas Soft Condensed Matter Statistical Mechanics Biological Physics We study the first-passage-time (FPT) properties of active Brownian particles to reach an absorbing wall in two dimensions. Employing a perturbation approach we obtain exact analytical predictions for the survival and FPT distributions for small Péclet numbers, measuring the importance of self-propulsion relative to diffusion. While randomly oriented active agents reach the wall faster than their passive counterpart, their initial orientation plays a crucial role in the FPT statistics. Using the median as a metric, we quantify this anisotropy and find that it becomes more pronounced at distances where persistent active motion starts to dominate diffusion. |
| title | First-passage-time statistics of active Brownian particles: A perturbative approach |
| topic | Soft Condensed Matter Statistical Mechanics Biological Physics |
| url | https://arxiv.org/abs/2503.05401 |