Spiral diffusion of rotating self-propellers with stochastic perturbation

Abstract

Translationally diffusive behavior arising from the combination of orientational diffusion and powered motion at microscopic scales is a known phenomenon, but the peculiarities of the evolution of expected position conditioned on initial position and orientation have been neglected. A theory is given of the spiral motion of the mean trajectory depending upon propulsion speed, angular velocity, orientational diffusion and rate of random chirality reversal. We demonstrate the experimental accessibility of this effect using both tadpole-like and Janus sphere dimer rotating motors. Sensitivity of the mean trajectory to the kinematic parameters suggest that it may be a useful way to determine those parameters.

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• Active Colloidal Molecules in Activity Gradients
• Chiral run-and-tumble walker: transport and optimizing search
• Three-dimensional chiral active Ornstein-Uhlenbeck model for helical motion of microorganisms
• Chiral Active Matter