Active motion assisted by correlated stochastic torques

Abstract

The stochastic dynamics of an active particle undergoing a constant speed and additionally driven by an overall fluctuating torque is investigated. The random torque forces are expressed by a stochastic differential equation for the angular dynamics of the particle determining the orientation of motion. In addition to a constant torque, the particle is supplemented by random torques which are modeled as an Ornstein-Uhlenbeck process with given correlation time ${\tau }_c$. These nonvanishing correlations cause a persistence of the particles' trajectories and a change of the effective spatial diffusion coefficient. We discuss the mean square displacement as a function of the correlation time and the noise intensity and detect a nonmonotonic dependence of the effective diffusion coefficient with respect to both correlation time and noise strength. A maximal diffusion behavior is obtained if the correlated angular noise straightens the curved trajectories, interrupted by small pirouettes, whereby the correlated noise amplifies a straightening of the curved trajectories caused by the constant torque.

8 pages, 9 figures

References in corpus (4)

• Dynamics of a Brownian circle swimmer
• Collective Motion due to escape and pursuit response
• Self-propelled particles with fluctuating speed and direction of motion
• Advantages of Hopping on a Zig-zag Course

Cited by in corpus (25)

• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• Odd Diffusivity of Chiral Random Motion
• Rectification and diffusion of self-propelled particles in a two-dimensional corrugated channel
• Diffusion of active chiral particles
• Brownian motion of a circle swimmer in a harmonic trap
• Transport of active ellipsoidal particles in ratchet potentials
• Effective interactions between inclusions in an active bath
• Entropic Ratchet transport of interacting active Brownian particles
• Pattern formation in active particle systems due to competing alignment interactions
• Dynamical density functional theory for circle swimmers
• Directed Transport of Confined Brownian Particles with Torque
• Two-dimensional active motion
• Active Particles Forced by an Asymmetric Dichotomous Angle Drive
• Kinematic matrix theory and universalities in self-propellers and active swimmers
• Eliminating Inertia in a Stochastic Model of a Micro-Swimmer with Constant Speed
• Diffusion of Active Particles With Stochastic Torques Modeled as $\alpha$-Stable Noise
• Gaussian Memory in Kinematic Matrix Theory for Self-Propellers
• Diffusion of active particles with angular velocity reversal
• Transport and diffusion properties of Brownian particles powered by a rotating wheel
• Designing circle Swimmers: Principles and strategies
• Three-dimensional chiral active Ornstein-Uhlenbeck model for helical motion of microorganisms
• Adiabatic elimination of inertia of the stochastic microswimmer driven by $\alpha -$stable noise
• Chirality Reversing Active Brownian Motion in Two Dimensions
• Demixing of two species via reciprocally concentration-dependent diffusivity
• Experimental Modeling of Chiral Active Robots and a Minimal Model of Non-Gaussian Displacements