Intermediate scattering function of an anisotropic Brownian circle swimmer
arXiv:1911.03425 · doi:10.1039/c7sm00873b
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.
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- Log it: How to fit an active Brownian particle's mean squared displacement with improved parameter estimation
- Two-dimensional Brownian motion of anisotropic dimers
- Elastic behavior of a semiflexible polymer in 3D subject to compression and stretching forces
- Bimodal probability density characterizes the elastic behavior of a semiflexible polymer in 2D under compression
- Chiral Active Matter