Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field

Abstract

We consider an inertial active Ornstein-Uhlenbeck particle in an athermal bath. The particle is charged, constrained to move in a two-dimensional harmonic trap, and a magnetic field is applied perpendicular to the plane of motion. The steady state correlations and the mean square displacement are studied when the particle is confined as well as when it is set free from the trap. With the help of both numerical simulation and analytical calculations, we observe that inertia plays a crucial role in the dynamics in the presence of a magnetic field. In a highly viscous medium where the inertial effects are negligible, the magnetic field has no influence on the correlated behaviour of position as well as velocity. In the time asymptotic limit, the overall displacement of the confined harmonic particle gets enhanced by the presence of magnetic field and saturates for a stronger magnetic field. On the other hand, when the particle is set free, the overall displacement gets suppressed and approaches zero when strength of the field is very high. Interestingly, it is seen that in the time asymptotic limit, the confined harmonic particle behaves like a passive particle and becomes independent of the activity, especially in the presence of a very strong magnetic field. Similarly, for a free particle the mean square displacement in the long time limit becomes independent of activity even for a longer persistence of noise correlation in the dynamics.

Phys. Rev. E (Accepted), 9 pages, 6 figures

References in corpus (17)

• Self-motile colloidal particles: from directed propulsion to random walk
• Motility-Induced Phase Separation
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Active matter
• Sedimentation, trapping, and rectification of dilute bacteria
• A self-propelled particle in an external potential: is there an effective temperature?
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Inertial effects of self-propelled particles: from active Brownian to active Langevin motion
• Inertial self-propelled particles
• Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
• Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle
• Nonequilibrium Work distributions for a trapped Brownian particle in a time dependent magnetic field
• Brownian motion of a charged particle driven internally by correlated noise
• Effective equilibrium states in mixtures of active particles driven by colored noise
• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
• Stochastic force dynamics of the model microswimmer Chlamydomonas reinhardtii: Active forces and energetics
• Orbital Magnetism of Active Viscoelastic Suspension

Cited by in corpus (5)

• Inertial Dynamics of Run-and-Tumble Particle
• Harmonically trapped inertial run-and-tumble particle in one dimension
• Steady state correlations and induced trapping of an inertial AOUP particle
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• Paramagnetism in spherically confined charged active matter