Active Brownian particle under stochastic orientational resetting

TL;DR

This paper models the movement of active Brownian particles with stochastic orientation resets, revealing new dynamical regimes and analytical insights into their displacement statistics.

Contribution

It introduces a renewal process framework to analyze active Brownian particles with stochastic orientational resetting, providing analytical expressions for key dynamical quantities.

Findings

Resetting induces a directed motion regime at large scales.

Variance shows effective diffusion decreasing with resetting rate.

Intermediate times exhibit negative skewness and non-Gaussian behavior.

Abstract

We employ renewal processes to characterize the spatiotemporal dynamics of an active Brownian particle under stochastic orientational resetting. By computing the experimentally accessible intermediate scattering function (ISF) and reconstructing the full time-dependent distribution of the displacements, we study the interplay of rotational diffusion and resetting. The resetting process introduces a new spatiotemporal regime reflecting the directed motion of agents along the resetting direction at large length scales, which becomes apparent in an imaginary part of the ISF. We further derive analytical expressions for the low-order moments of the displacements and find that the variance displays an effective diffusive regime at long times, which decreases for increasing resetting rates. At intermediate times the dynamics are characterized by a negative skewness as well as a non-zero non-Gaussian parameter.