The Anomalous Transport of Tracers in Active Baths
arXiv:2108.11970 · doi:10.1103/PhysRevLett.129.038001
Abstract
We derive the long-time dynamics of a tracer immersed in a one-dimensional active bath. In contrast to previous studies, we find that the damping and noise correlations possess long-time tails with exponents that depend on the tracer symmetry. For generic tracers, shape asymmetry induces ratchet effects that alter fluctuations and lead to superdiffusion and friction that grows with time when the tracer is dragged at a constant speed. In the singular limit of a completely symmetric tracer, we recover normal diffusion and finite friction. Furthermore, for small symmetric tracers, the active contribution to the friction becomes negative: active particles enhance motion rather than oppose it. These results show that, in low-dimensional systems, the motion of a passive tracer in an active bath cannot be modeled as a persistent random walker with a finite correlation time.
arXiv comment15 pages, 6 figures, v2: more results added
References in corpus (47)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Heat Transport in low-dimensional systems
- A bacterial ratchet motor
- Pressure is not a state function for generic active fluids
- Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
- Microrheology, stress fluctuations and active behavior of living cells
- Sedimentation, trapping, and rectification of dilute bacteria
- Anomalous Diffusion of Symmetric and Asymmetric Active Colloids
- Enhanced diffusion due to active swimmers at a solid surface
- Rectification of Swimming Bacteria and Self Driven Particle Systems by Arrays of Asymmetric Barriers
- Diffusion and spatial correlations in suspensions of swimming particles
- Irreversibility in active matter systems: Fluctuation theorem and mutual information
- Generalized energy equipartition in harmonic oscillators driven by active baths
- Effective temperature of active matter
- Active particles with soft and curved walls: Equation of state, ratchets, and instabilities
- Transport powered by bacterial turbulence
- Active colloidal suspensions exhibit polar order under gravity
- Fluctuations and Rheology in Active Bacterial Suspensions
- Entropy production of active particles and for particles in active baths
- Light-induced self-assembly of active rectification devices
- Adiabatic Perturbation Theory and Geometry of Periodically-Driven Systems
- Induced Diffusion of Tracers in a Bacterial Suspension: Theory and Experiments
- Particle diffusion in active fluids is non-monotonic in size
- Ion channel gating: a first passage time analysis of the Kramers type
- Loopy Lévy flights enhance tracer diffusion in active suspensions
- Giant Negative Mobility of Janus Particles in a Corrugated Channel
- Curvature Induced Activation of a Passive Tracer in an Active Bath
- Generic long-range interactions between passive bodies in an active fluid
- Geometry-induced superdiffusion in driven crowded systems
- Distribution of particle displacements due to swimming microorganisms
- Tracer diffusion in active suspensions
- Fluctuating motion in an active environment
- Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
- Lévy Fluctuations and Tracer Diffusion in Dilute Suspensions of Algae and Bacteria
- Entropy production and work fluctuation relations for a single particle in active bath
- Swimmer-tracer scattering at low Reynolds number
- Collective forces in scalar active matter
- Friction and noise for a probe in a nonequilibrium fluid
- Colloids in active fluids: Anomalous micro-rheology and negative drag
- Driven tracer with absolute negative mobility
- The modified Langevin description for probes in a nonlinear medium
- Long-Time Tails, Weak Localization, and Classical and Quantum Critical Behavior
- Effective Langevin equations for a polar tracer in an active bath
- Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
- Vorticity Determines the Force on Bodies Immersed in Active Fluids
- Enhanced diffusion of a tracer particle in a lattice model of a crowded active system
- Motion of active tracer in a lattice gas with cross-shaped particles
Cited by in corpus (32)
- Time-(ir)reversibility in active matter: from micro to macro
- On the Einstein relation between mobility and diffusion coefficient in an active bath
- Inclusions, Boundaries and Disorder in Scalar Active Matter
- Activity driven transport in harmonic chains
- 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
- Harvesting information to control non-equilibrium states of active matter
- Dynamical fluctuations of a tracer coupled to active and passive particles
- Time-dependent properties of run-and-tumble particles. II.: Current fluctuations
- Effective dynamics and fluctuations of a trapped probe moving in a fluid of active hard discs
- Second Law of Thermodynamics without Einstein Relation
- Dynamics of a Passive Droplet in Active Turbulence
- Pattern Formation and Transport for Externally Driven Active Matter on Periodic Substrates
- When does an active bath behave as an equilibrium one?
- Time-dependent properties of run-and-tumble particles: Density relaxation
- Passive objects in confined active fluids: a localization transition
- Cooperation and competition in the collective drive by motor proteins: Mean active force, fluctuations, and self-load
- The induced friction on a probe moving in a nonequilibrium medium
- Violation of the second fluctuation-dissipation relation and entropy production in nonequilibrium medium
- Universal Poisson statistics of a passive tracer diffusing in dilute active suspensions
- Tracer dynamics in an interacting active bath: fluctuations and energy partition
- Harmonic chain driven by active Rubin bath: transport properties and steady-state correlations
- Coupling an elastic string to an active bath: the emergence of inverse damping
- A Cold Tracer in a Hot Bath: In and Out of Equilibrium
- Stationary state of harmonic chains driven by boundary resetting
- Recoil of a driven tracer in a correlated medium
- Statistical mechanics of a cold tracer in a hot bath
- A Hitchhiker's Guide To Active Motion
- Negative drag force on beating flagellar-shaped bodies in active fluids
- Effective diffusion of a tracer in active bath: a path-integral approach
- When velocity autocorrelations mirror force autocorrelations: Exact noise-cancellation in interacting Brownian systems