Memory effects in spiral diffusion of rotary self-propellers

Parvin Bayati; Amir Nourhani

doi:10.1103/PhysRevE.105.024606

Memory effects in spiral diffusion of rotary self-propellers

Phys Rev E. 2022 Feb;105(2-1):024606. doi: 10.1103/PhysRevE.105.024606.

Authors

Parvin Bayati^{1

2}, Amir Nourhani^{1

3

4}

Affiliations

¹ Department of Mechanical Engineering, University of Akron, Akron, Ohio 44325, USA.
² Université Paris-Saclay, CNRS, Le Laboratoire de Physique Théorique et Modèles Statistiques, 91405 Orsay, France.
³ Biomimicry Research and Innovation Center, University of Akron, Akron, Ohio 44325, USA.
⁴ Departments of Biology, Mathematics, and Chemical, Biomolecular, and Corrosion Engineering, University of Akron, Akron, Ohio 44325, USA.

PMID: 35291178
DOI: 10.1103/PhysRevE.105.024606

Abstract

The coupling of deterministic rotary motion and stochastic orientational diffusion of a self-propeller leads to a spiral trajectory of the expected displacement. We extend our former analysis of spiral diffusion [Phys. Rev. E 94, 030601(R) (2016)10.1103/PhysRevE.94.030601] in the white-noise limit to a more realistic scenario of stochastic noise with Gaussian memory and orientational fluctuations driven by an Ornstein-Uhlenbeck process. A variety of dynamical regimes including crossovers from ballistic to diffusive to ballistic in the angular dynamics are determined by the inertial timescale, orientational diffusivity, and angular speed.