Jerky chiral active particles

TL;DR

This paper introduces jerky chiral active Brownian particles, analyzing how jerk influences their motion, leading to anomalous fluctuations, oscillations, and complex trajectories, thus expanding understanding of active matter dynamics.

Contribution

It generalizes chiral active Brownian particles by incorporating jerk, deriving their displacement behaviors, and revealing new dynamical patterns in active matter systems.

Findings

Jerk causes anomalous fluctuations and oscillations in particle trajectories.

Interplay of jerk, chirality, and persistence yields diverse mean trajectories.

Identifies new dynamical effects and patterns in active matter due to jerk.

Abstract

We introduce jerky chiral active Brownian particles (jcABPs), a generalization of conventional chiral active Brownian particles (cABPs) subjected to jerk, the time derivative of acceleration, and analytically derive their mean displacement and mean squared displacement (MSD). Our results show that jerk induces anomalous fluctuations and oscillatory behavior on the standard circular swimming of chiral active particles. The interplay of jerk, chirality and persistence produces a family of mean trajectories including damped and exploding Lissajous patterns alongside the well-known spira mirabilis (logarithmic spirals). Our work on jerky chiral active particles opens a new route to explore rich dynamical effects in active matter.