Resonant Diffusion of a Gravitactic Circle Swimmer

Oleksandr Chepizhko and Thomas Franosch
Phys. Rev. Lett. 129, 228003 – Published 23 November 2022
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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.

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  • Received 23 March 2022
  • Revised 16 August 2022
  • Accepted 7 October 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.228003

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPolymers & Soft Matter

Authors & Affiliations

Oleksandr Chepizhko and Thomas Franosch

  • Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 21A, A-6020 Innsbruck, Austria

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Issue

Vol. 129, Iss. 22 — 23 November 2022

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