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.

arXiv commentPhys. Rev. E (Accepted), 9 pages, 6 figures

References in corpus (38)

• Active Particles in Complex and Crowded Environments
• Self-motile colloidal particles: from directed propulsion to random walk
• Motility-Induced Phase Separation
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• How far from equilibrium is active matter?
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• The 2019 Motile Active Matter Roadmap
• Active matter
• Brownian motion of a self-propelled particle
• 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
• Dynamics of a self-propelled particle in a harmonic trap
• Inertial delay of self-propelled particles
• Motility-induced temperature difference in coexisting phases
• Entropy production and fluctuation theorems for active matter
• Towards a statistical mechanical theory of active fluids
• Inertial self-propelled particles
• Steady State of an Active Brownian Particle in Two-Dimensional Harmonic Trap
• A charged particle in a magnetic field - Jarzynski Equality
• Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
• Linear response and correlation of a self-propelled particle in the presence of external fields
• Generalized Ornstein-Uhlenbeck Model for Active Motion
• Analyzing a stochastic process driven by Ornstein-Uhlenbeck noise
• Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle
• Non-Gaussian behaviour of a self-propelled particle on a substrate
• Pressure and Flow of Exponentially Self-Correlated Active Particles
• 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
• Pressure in an exactly solvable model of active fluid
• Lorentz forces induce inhomogeneity and fluxes in active systems
• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
• Classical Orbital Magnetic Moment in a Dissipative Stochastic System
• Stochastic force dynamics of the model microswimmer Chlamydomonas reinhardtii: Active forces and energetics
• Orbital Magnetism of Active Viscoelastic Suspension
• Electromagnetic radiation of charged particles in stochastic motion

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