Harmonically trapped inertial run-and-tumble particle in one dimension

Abstract

We study the nonequilibrium stationary state of a one-dimensional inertial run-and-tumble particle (IRTP) trapped in a harmonic potential. We find that the presence of inertia leads to two distinct dynamical scenarios, namely, overdamped and underdamped, characterized by the relative strength of the viscous and the trap time-scales. We also find that inertial nature of the active dynamics leads to the particle being confined in specific regions of the phase plane in the overdamped and underdamped cases, which we compute analytically. Moreover, the interplay of the inertial and active time-scales gives rise to several sub-regimes, which are characterized by very different behaviour of position and velocity fluctuations of the IRTP. In particular, in the underdamped regime, both the position and velocity undergoes transitions from a novel multi-peaked structure in the strongly active limit to a single peaked Gaussian-like distribution in the passive limit. On the other hand, in the overdamped scenario, the position distribution shows a transition from a U-shape to a dome-shape, as activity is decreased. Interestingly, the velocity distribution in the overdamped scenario shows two transitions -- from a single-peaked shape with an algebraic divergence at the origin in the strongly active regime to a double peaked one in the moderately active regime to a dome-shaped one in the passive regime.

20 pages, 21 figures. Comments or suggestions are welcome

References in corpus (20)

• Active Particles in Complex and Crowded Environments
• Self-motile colloidal particles: from directed propulsion to random walk
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
• Run-and-tumble particle in one-dimensional confining potential: Steady state, relaxation and first passage properties
• Inertial delay of self-propelled particles
• Emergent oscillations assist obstacle negotiation during ant cooperative transport
• Motility-induced temperature difference in coexisting phases
• Active Brownian Motion in Two Dimensions
• Inertial self-propelled particles
• Active Brownian Motion with Directional Reversals
• Dynamics of active particles with translational and rotational inertia
• Active Brownian and inertial particles in disordered environments: short-time expansion of the mean-square displacement
• Collective effects in confined Active Brownian Particles
• Nonequilibirum steady state for harmonically-confined active particles
• Hydrodynamic effects on the liquid-hexatic transition of active colloids
• Exact moments and re-entrant transitions in the inertial dynamics of active Brownian particles
• Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field
• When does an active bath behave as an equilibrium one?

Cited by in corpus (5)

• Inertial Dynamics of Run-and-Tumble Particle
• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thinning Medium
• Tracer dynamics in an interacting active bath: fluctuations and energy partition
• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thickening Medium
• Crossover dynamics and non-Gaussian fluctuations in inertial active chains