Active Particles Forced by an Asymmetric Dichotomous Angle Drive

Abstract

We analyze the dynamics of particles in two dimensions with constant speed and a stochastic switching angle dynamics defined by a correlated dichotomous Markov process (telegraph noise) plus Gaussian white noise. We study various cases of the asymptotic diffusional motion of the particle which is characterized by the effective diffusion coefficient. Expressions for this coefficient are derived and discussed in dependence on the correlation time and the intensity of the noise. The situation with a given mean curvature is of special interest since a non-monotonic behavior of the effective diffusion coefficient as function of the noise intensity and correlation time is found. A timescale matching condition for maximal diffusion is formulated.

4 pages, 4 figures

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Cited by in corpus (9)

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• Diffusion of Active Particles With Stochastic Torques Modeled as $\alpha$-Stable Noise
• Chirality Reversing Active Brownian Motion in Two Dimensions
• Adiabatic elimination of inertia of the stochastic microswimmer driven by $\alpha -$stable noise
• Bistability in orbital trajectories of a chiral self-propelled particle interacting with an external field