Non-Gaussian behaviour of a self-propelled particle on a substrate
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...
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| Datum: | 2009 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2009
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| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/120556 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Non-Gaussian behaviour of a self-propelled particle on a substrate / B. ten Hagen, S. van Teeffelen, H. Löwen // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 725-738. — Бібліогр.: 42 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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 rst 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. |
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