Fluctuating motion in an active environment

Abstract

We derive the fluctuation dynamics of a probe in weak coupling with a "living" medium, modeled as particles undergoing an active Ornstein-Uhlenbeck dynamics. Nondissipative corrections to the fluctuation-dissipation relation are written out explicitly in terms of time-correlations in the active medium. A first term changes the inertial mass of the probe, as a consequence of the persistence of the active medium. A second correction modifies the friction kernel. The resulting generalized Langevin equation benchmarks the motion induced on probes immersed in active versus passive media. The derivation uses nonequilibrium response theory.

References in corpus (20)

• Motility-Induced Phase Separation
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Active matter
• Fluctuations and response of nonequilibrium states
• A self-propelled particle in an external potential: is there an effective temperature?
• Effective Interactions in Active Brownian Suspensions
• Multidimensional Stationary Probability Distribution for Interacting Active Particles
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Tunable long range forces mediated by self-propelled colloidal hard spheres
• Effective Temperature of Red Blood Cell Membrane Fluctuations
• Fluctuations and Rheology in Active Bacterial Suspensions
• Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
• Activity driven fluctuations in living cells
• Nonlinear response of inertial tracers in steady laminar flows: differential and absolute negative mobility
• Response theory: a trajectory-based approach
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Nonlocal stationary probability distributions and escape rates for an active Ornstein-Uhlenbeck particle
• The modified Langevin description for probes in a nonlinear medium
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Two theorems that relate discrete stochastic processes to microscopic mechanics

Cited by in corpus (35)

• Time-(ir)reversibility in active matter: from micro to macro
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• Dynamics of active particles with translational and rotational inertia
• On the Einstein relation between mobility and diffusion coefficient in an active bath
• Geometric decomposition of entropy production into excess, housekeeping and coupling parts
• Tracer dynamics in one dimensional gases of active or passive particles
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Activity driven transport in harmonic chains
• Generalized Fluctuation-Dissipation relations holding in non-equilibrium dynamics
• Passive particle in an active bath: How can we tell it is out of equilibrium?
• Stationary states of activity-driven harmonic chains
• Memory-induced oscillations of a driven particle in a dissipative correlated medium
• Dynamical fluctuations of a tracer coupled to active and passive particles
• Dynamics of a Passive Droplet in Active Turbulence
• Dynamical crossovers and correlations in a harmonic chain of active particles
• When does an active bath behave as an equilibrium one?
• Quantum Thermodynamic Uncertainty Relations, Generalized Current Fluctuations and Nonequilibrium Fluctuation-Dissipation Inequalities
• A handy fluctuation-dissipation relation to approach generic noisy systems and chaotic dynamics
• The induced friction on a probe moving in a nonequilibrium medium
• Effective Dynamics of Tracer in Active Bath: A Mean-field Theory Study
• Universal Poisson statistics of a passive tracer diffusing in dilute active suspensions
• Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium
• Harmonic chain driven by active Rubin bath: transport properties and steady-state correlations
• Tracer dynamics in an interacting active bath: fluctuations and energy partition
• Coupling an elastic string to an active bath: the emergence of inverse damping
• Probing the limits of effective temperature consistency in actively driven systems
• A Cold Tracer in a Hot Bath: In and Out of Equilibrium
• Statistical mechanics of a cold tracer in a hot bath
• Recoil of a driven tracer in a correlated medium
• Stationary state of harmonic chains driven by boundary resetting
• Thermodynamics of fluctuations based on time-and-space averages
• Effective diffusion of a tracer in active bath: a path-integral approach