| Autor: |
B. ten Hagen, S. van Teeffelen, H. Löwen |
| Jazyk: |
angličtina |
| Rok vydání: |
2009 |
| Předmět: |
|
| Zdroj: |
Condensed Matter Physics, Vol 12, Iss 4, Pp 725-738 (2009) |
| Druh dokumentu: |
article |
| ISSN: |
1607-324X |
| DOI: |
10.5488/CMP.12.4.725 |
| Popis: |
The overdamped Brownian motion of a self-propelled particle which is driven by a projected internal force is studied by solving the Langevin equation analytically. The "active" particle under study is restricted to move along a linear channel. The direction of its internal force is orientationally diffusing on a unit circle in a plane perpendicular to the substrate. An additional time-dependent torque is acting on the internal force orientation. The model is relevant for active particles like catalytically driven Janus particles and bacteria moving on a substrate. Analytical results for the first four time-dependent displacement moments are presented and analysed for several special situations. For a vanishing torque, there is a significant dynamical non-Gaussian behaviour at finite times t as signalled by a non-vanishing normalized kurtosis in the particle displacement which approaches zero for long time with a 1/t long-time tail. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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