Impact of chirality on active Brownian particle: Exact moments in two and three dimensions

Abstract

In this work, we investigate the effects of chirality, accounting for translational diffusion, on active Brownian particles in two and three dimensions. Despite the inherent complexity in solving the Fokker-Planck equation, we demonstrate a Laplace transform method for precisely calculating the temporal evolution of various dynamic moments. Our analysis yields explicit expressions for multiple moments, such as the second and fourth moments of displacement, revealing the impact of persistence and chirality. These moments exhibit oscillatory behaviour, and excess kurtosis indicates deviations from the Gaussian distribution during intermediate time intervals.

27 pages, 8 figures

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• Chirality, confinement and dimensionality govern re-entrant transitions in active matter
• Jerky chiral active particles
• Inertia-chirality interplay in active Brownian motion: exact dynamics and phase maps
• Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations
• Intermediate scattering function of colloids in a periodic laser field