Resonant diffusion of a gravitactic circle swimmer

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.

arXiv commentTotal 16 pages: 7 main, 8 supplement. 2 main figures, 5 supplement figures

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Cited by in corpus (7)

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• Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles
• 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