The random walk of intermittently self-propelled particles
| Autor: | Datta, Agniva, Beta, Carsten, Großmann, Robert |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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, L\'evy walks, hop-and-trap dynamics, intermittent diffusion and continuous time random walks. Comment: 15 pages, 5 figures |
| Databáze: | arXiv |
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