Inertial Dynamics of Run-and-Tumble Particle
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909617273962496 |
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| author | Dutta, Debraj Kundu, Anupam Basu, Urna |
| author_facet | Dutta, Debraj Kundu, Anupam Basu, Urna |
| contents | We study the dynamics of a single inertial run-and-tumble particle on a straight line. The motion of this particle is characterized by two intrinsic time-scales, namely, an inertial and an active time-scale. We show that interplay of these two time-scales leads to the emergence of four distinct regimes, characterized by different dynamical behaviour of mean-squared displacement and survival probability. We analytically compute the position distributions in these regimes when the two time-scales are well separated. We show that in the large-time limit, the distribution has a large deviation form and compute the corresponding large deviation function analytically. We also find the persistence exponents in the different regimes theoretically. All our results are supported with numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19186 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inertial Dynamics of Run-and-Tumble Particle Dutta, Debraj Kundu, Anupam Basu, Urna Statistical Mechanics Soft Condensed Matter We study the dynamics of a single inertial run-and-tumble particle on a straight line. The motion of this particle is characterized by two intrinsic time-scales, namely, an inertial and an active time-scale. We show that interplay of these two time-scales leads to the emergence of four distinct regimes, characterized by different dynamical behaviour of mean-squared displacement and survival probability. We analytically compute the position distributions in these regimes when the two time-scales are well separated. We show that in the large-time limit, the distribution has a large deviation form and compute the corresponding large deviation function analytically. We also find the persistence exponents in the different regimes theoretically. All our results are supported with numerical simulations. |
| title | Inertial Dynamics of Run-and-Tumble Particle |
| topic | Statistical Mechanics Soft Condensed Matter |
| url | https://arxiv.org/abs/2411.19186 |