The random walk of intermittently self-propelled particles
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866908617524903936 |
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| author | Datta, Agniva Beta, Carsten Großmann, Robert |
| author_facet | Datta, Agniva Beta, Carsten Großmann, Robert |
| contents | Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state, in which self-propulsion is absent. The durations of these motility modes are derived from arbitrary waiting-time distributions. We derive the expressions for exact forms of transport characteristics like mean-square displacements and diffusion coefficients to describe such processes. Furthermore, the conditions for the emergence of sub- and superdiffusion in the long-time limit are presented. We give examples of some important processes that occur as limiting cases of our system, including run-and-tumble motion of bacteria, Lévy walks, hop-and-trap dynamics, intermittent diffusion and continuous time random walks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15277 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The random walk of intermittently self-propelled particles Datta, Agniva Beta, Carsten Großmann, Robert Soft Condensed Matter Biological Physics Motivated by various recent experimental findings, we propose a dynamical model of intermittently self-propelled particles: active particles that recurrently switch between two modes of motion, namely an active run-state and a turn state, in which self-propulsion is absent. The durations of these motility modes are derived from arbitrary waiting-time distributions. We derive the expressions for exact forms of transport characteristics like mean-square displacements and diffusion coefficients to describe such processes. Furthermore, the conditions for the emergence of sub- and superdiffusion in the long-time limit are presented. We give examples of some important processes that occur as limiting cases of our system, including run-and-tumble motion of bacteria, Lévy walks, hop-and-trap dynamics, intermittent diffusion and continuous time random walks. |
| title | The random walk of intermittently self-propelled particles |
| topic | Soft Condensed Matter Biological Physics |
| url | https://arxiv.org/abs/2406.15277 |