Anisotropic active Brownian particle in two dimensions under stochastic resetting

TL;DR

This paper analytically explores the complex dynamics of anisotropic active Brownian particles in two dimensions under various stochastic resetting protocols, revealing how resetting influences diffusion and steady-state distributions.

Contribution

It introduces a comprehensive analytical framework for understanding anisotropic active Brownian particles with stochastic resetting, including multiple resetting protocols and their effects.

Findings

Orientation resetting maintains asymmetry at late times.

Complex steady-state position distributions emerge under combined resetting.

Analytical results are validated by simulations.

Abstract

We analytically investigate the dynamic behavior of an an-isotropic active Brownian particle under various stochastic resetting protocols in two dimensions. The motion of shape-asymmetric active Brownian particles in two dimensions leads to an-isotropic diffusion at short times, whereas rotational diffusion causes the transport to become isotropic at longer times. We have considered three different resetting protocols: (a) complete resetting, when both position and orientation are reset to their initial states, (b) only position is reset to its initial state, (c) only orientation is reset to its initial state. We reveal that orientation resetting sustains asymmetry even at late times. When both the spatial position and orientation are subject to resetting, a complex position probability distribution forms in the steady state. All the analytical findings are thoroughly validated by corresponding simulation results.