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Intermediate scattering function of an anisotropic Brownian circle swimmer

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Abstract

Microswimmers exhibit noisy circular motion due to asymmetric propulsion mechanisms, their chiral body shape, or by hydrodynamic couplings in the vicinity of surfaces. Here, we employ the Brownian circle swimmer model and characterize theoretically the dynamics in terms of the directly measurable intermediate scattering function. We derive the associated Fokker–Planck equation for the conditional probabilities and provide an exact solution in terms of generalizations of the Mathieu functions. Different spatiotemporal regimes are identified reflecting the bare translational diffusion at large wavenumbers, the persistent circular motion at intermediate wavenumbers and an enhanced effective diffusion at small wavenumbers. In particular, the circular motion of the particle manifests itself in characteristic oscillations at a plateau of the intermediate scattering function for wavenumbers probing the radius.

Graphical abstract: Intermediate scattering function of an anisotropic Brownian circle swimmer

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Publication details

The article was received on 02 May 2017, accepted on 26 Aug 2017 and first published on 05 Sep 2017


Article type: Paper
DOI: 10.1039/C7SM00873B
Citation: Soft Matter, 2017, Advance Article
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    Intermediate scattering function of an anisotropic Brownian circle swimmer

    C. Kurzthaler and T. Franosch, Soft Matter, 2017, Advance Article , DOI: 10.1039/C7SM00873B

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