Active Particles Forced by an Asymmetric Dichotomous Angle Drive

TL;DR

This paper investigates the motion of active particles driven by stochastic angle dynamics combining dichotomous Markov noise and Gaussian white noise, deriving expressions for their effective diffusion and revealing non-monotonic behaviors.

Contribution

It provides new analytical expressions for the effective diffusion coefficient of particles with combined dichotomous and Gaussian noise angle dynamics, highlighting non-monotonic effects.

Findings

Effective diffusion coefficient depends on noise intensity and correlation time.

Non-monotonic behavior of diffusion coefficient observed with varying noise parameters.

Timescale matching condition for maximal diffusion derived.

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.