Brownian motion of a circle swimmer in a harmonic trap

Abstract

We study the dynamics of a Brownian circle swimmer with a time-dependent self-propulsion velocity in an external temporally varying harmonic potential. For several situations, the noise-free swimming paths, the noise-averaged mean trajectories, and the mean square displacements are calculated analytically or by computer simulation. Based on our results, we discuss optimal swimming strategies in order to explore a maximum spatial range around the trap center. In particular, we find a resonance situation for the maximum escape distance as a function of the various frequencies in the system. Moreover, the influence of the Brownian noise is analyzed by comparing noise-free trajectories at zero temperature with the corresponding noise-averaged trajectories at finite temperature. The latter reveal various complex self-similar spiral or rosette-like patterns. Our predictions can be tested in experiments on artificial and biological microswimmers under dynamical external confinement.

arXiv comment16 pages, 11 figures

References in corpus (57)

• Active Particles in Complex and Crowded Environments
• Self-motile colloidal particles: from directed propulsion to random walk
• Physics of Microswimmers - Single Particle Motion and Collective Behavior
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Active Motion of Janus Particle by Self-thermophoresis in Defocused Laser Beam
• Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
• Dynamic clustering in active colloidal suspensions with chemical signaling
• Collective Motion of Vibrated Polar Disks
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Microswimmers in Patterned Environments
• Circular motion of asymmetric self-propelling particles
• Emergent behavior in active colloids
• Topographical pathways guide chemical microswimmers
• Swarming and swirling in self-propelled polar granular rods
• Active Brownian Motion Tunable by Light
• Green Algae as Model Organisms for Biological Fluid Dynamics
• Brownian motion of a self-propelled particle
• Sedimentation, trapping, and rectification of dilute bacteria
• A self-propelled particle in an external potential: is there an effective temperature?
• Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
• Phototaxis of synthetic microswimmers in optical landscapes
• Tuned, driven, and active soft matter
• Dynamics of a Brownian circle swimmer
• Gravitaxis of asymmetric self-propelled colloidal particles
• A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
• Dynamics of Self-Propelled Particles Under Strong Confinement
• Photoactivated Colloidal Dockers for Cargo Transportation
• Transport powered by bacterial turbulence
• Structural properties of screened Coulomb balls
• Curling Liquid Crystal Microswimmers: a cascade of spontaneous symmetry breaking
• Upstream swimming in microbiological flows
• Brownian motion and the hydrodynamic friction tensor for colloidal particles of complex shape
• Crystallization of self-propelled hard-discs : a new scenario
• Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
• Colloids in light fields: particle dynamics in random and periodic energy landscapes
• Filling an emulsion drop with motile bacteria
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
• Self-induced polar order of active Brownian particles in a harmonic trap
• Can the self-propulsion of anisotropic microswimmers be described by using forces and torques?
• Diffusion of Chiral Janus Particles in a Sinusoidal Channel
• Chemotaxis of artificial microswimmers in active density waves
• Modeling the dynamics of a tracer particle in an elastic active gel
• Dynamics and Separation of Circularly Moving Particles in Asymmetric Patterned Arrays
• Work fluctuations in a time-dependent harmonic potential: rigorous results and beyond the overdamped limit
• Non-Gaussian behaviour of a self-propelled particle on a substrate
• Active motion assisted by correlated stochastic torques
• Kramers escape of a self-propelled particle
• Work distribution in time-dependent logarithmic-harmonic potential: exact results and asymptotic analysis
• Self-Organized Vortices of Circling Self-Propelled Particles and Curved Active Flagella
• Experimental creation and characterization of random potential energy landscapes exploiting speckle patterns
• Swimming path statistics of an active Brownian particle with time-dependent self-propulsion
• Velocity condensation for magnetotactic bacteria
• Anomalous magneto-transport in disordered structures: classical edge-state percolation
• Reply to Comment on "Circular Motion of Asymmetric Self-Propelling Particles"
• Active Matter in Lateral Parabolic Confinement: From Subdiffusion to Superdiffusion
• Persistence of a Brownian particle in a Time Dependent Potential

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• Active particles in non-inertial frames: how to self-propel on a carousel
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• Emergence of oscillatory states of self-propelled colloids under optical confinement
• Chirality, confinement and dimensionality govern re-entrant transitions in active matter
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• Passive circular Brownian motion of asymmetric particles weakly bound to a planar surface
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