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Condensed Matter > Statistical Mechanics
Title: Impact of chirality on active Brownian particle: Exact moments in two and three dimensions
(Submitted on 15 Apr 2024)
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.
Submission history
From: Anweshika Pattanayak [view email][v1] Mon, 15 Apr 2024 10:32:31 GMT (737kb,D)
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