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.
References in corpus (20)
- Active Particles in Complex and Crowded Environments
- Collective motion
- Physics of Microswimmers - Single Particle Motion and Collective Behavior
- Anomalous transport in the crowded world of biological cells
- Swimming in circles: Motion of bacteria near solid boundaries
- Circular motion of asymmetric self-propelling particles
- Dynamics of a Brownian circle swimmer
- Gravitaxis of asymmetric self-propelled colloidal particles
- Diffusion, subdiffusion, and trapping of active particles in heterogeneous media
- Sorting of Chiral Microswimmers
- Differential Dynamic Microscopy: a High-Throughput Method for Characterizing the Motility of Microorganism
- Curling Liquid Crystal Microswimmers: a cascade of spontaneous symmetry breaking
- Intermediate scattering function of an anisotropic active Brownian particle
- Diffusion of active chiral particles
- Brownian motion of a circle swimmer in a harmonic trap
- A two-sphere model for bacteria swimming near solid surfaces
- Effective Perrin theory for the anisotropic diffusion of a strongly hindered rod
- Sorting of chiral active particles driven by rotary obstacles
- Anomalous magneto-transport in disordered structures: classical edge-state percolation
- Tube Concept for Entangled Stiff Fibers Predicts Their Dynamics in Space and Time
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- The Parental Active Model: a unifying stochastic description of self-propulsion
- Dynamical Crystallites of Active Chiral Particles
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- Active Brownian motion with orientation-dependent motility: theory and experiments
- Ideal circle microswimmers in crowded media
- Active Brownian particles: mapping to equilibrium polymers and exact computation of moments
- Shape matters: A Brownian microswimmer in a channel
- Active particles in non-inertial frames: how to self-propel on a carousel
- Random motion of a circle microswimmer in a random environment
- Log it: How to fit an active Brownian particle's mean squared displacement with improved parameter estimation
- Two-dimensional active motion
- Active Brownian Particles in a Circular Disk with an Absorbing Boundary
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- Self-propulsion with speed and orientation fluctuation: exact computation of moments and dynamical bistabilities in displacement
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- Intermediate scattering function of a gravitactic circle swimmer
- Anisotropic active Brownian particle with a fluctuating propulsion force
- Anomalous diffusion of scaled Brownian tracers
- Nonequilibrium dynamical structure of a dilute suspension of active particles in a viscoelastic fluid
- Chirality, confinement and dimensionality govern re-entrant transitions in active matter
- Two-Dimensional Active Brownian Particles Crossing a Parabolic Barrier: Transition-Path Times, Survival Probability, and First-Passage Time
- Inertia-chirality interplay in active Brownian motion: exact dynamics and phase maps
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- Intermediate scattering function of colloids in a periodic laser field
- Jerky chiral active particles
- Shape-specific fluctuations of an active colloidal interface
- Chiral Active Matter
- Circular motion subject to external alignment under active driving: nonlinear dynamics and the circle map