Resonant diffusion of a gravitactic circle swimmer
arXiv:2211.16575 · doi:10.1103/PhysRevLett.129.228003
Abstract
We investigate the dynamics of a single chiral active particle subject to an external torque due to the presence of a gravitational field. Our computer simulations reveal an arbitrarily strong increase of the long-time diffusivity of the gravitactic agent when the external torque approaches the intrinsic angular drift. We provide analytic expressions for the mean-square displacement in terms of eigenfunctions and eigenvalues of the noisy-driven-pendulum problem. The pronounced maximum in the diffusivity is then rationalized by the vanishing of the lowest eigenvalues of the Fokker-Planck equation for the angular motion as the rotational diffusion decreases and the underlying classical bifurcation is approached. A simple harmonic-oscillator picture for the barrier-dominated motion provides a quantitative description for the onset of the resonance while its range of validity is determined by the crossover to a critical-fluctuation-dominated regime.
Total 16 pages: 7 main, 8 supplement. 2 main figures, 5 supplement figures
References in corpus (9)
- Physics of Microswimmers - Single Particle Motion and Collective Behavior
- Dynamics of a Brownian circle swimmer
- Gravitaxis of asymmetric self-propelled colloidal particles
- Run-and-tumble particles with hydrodynamics: sedimentation, trapping and upstream swimming
- A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
- Intermediate scattering function of an anisotropic active Brownian particle
- Intermediate scattering function of an anisotropic Brownian circle swimmer
- On the relation between Vicsek and Kuramoto models of spontaneous synchronization
- Reply to Comment on "Circular Motion of Asymmetric Self-Propelling Particles"
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- Intermediate scattering function of colloids in a periodic laser field
- Intermediate scattering function of Brownian particles in a tilted cosine potential
- Diffusion of gravitactic chiral active Brownian particles in an asymmetric channel