Mode-Coupling Theory for Tagged-Particle Motion of Active Brownian Particles
arXiv:2010.13763 · doi:10.1103/PhysRevE.104.044608
Abstract
We derive a mode-coupling theory (MCT) to describe the dynamics of tracer particles in dense systems of active Brownian particles (ABPs) in two spatial dimensions. The ABP undergo translational and rotational Brownian dynamics, and are equipped with a fixed self-propulsion speed along their orientational vector that describes their active motility. The resulting equations of motion for the tagged-particle density correlation functions describe the various cases of tracer dynamics close to the glass transition: that of a passive colloidal particle in a suspension of ABP, that of a single active particle in a glass-forming passive host suspensions, and that of active tracers in a bath of active particles. Numerical results are presented for these cases assuming hard-sphere interactions among the particles. The qualitative and quantitative accuracy of the theory is tested against event-driven Brownian dynamics (ED-BD) simulations of active and passive hard disks. Simulation and theory are found in quantitative agreement, provided one adjusts the overall density (as known from the passive description of glassy dynamics), and allows for a rescaling of self-propulsion velocities in the active host system. These adjustments account for the fact that ABP-MCT generally overestimates the tendency for kinetic arrest. We also confirm in the simulations a peculiar feature of the transient and stationary dynamical density correlation functions regarding their lack of symmetry under time reversal, demonstrating the non-equilibrium nature of the system and how it manifests itself in the theory.
References in corpus (45)
- Active Particles in Complex and Crowded Environments
- Self-motile colloidal particles: from directed propulsion to random walk
- Anomalous transport in the crowded world of biological cells
- Motility-driven glass and jamming transitions in biological tissues
- Pushing the glass transition towards random close packing using self-propelled hard spheres
- Distortion and destruction of colloidal flocks in disordered environments
- Dynamics of self-propelled Janus particles in viscoelastic fluids
- Asymptotic laws for tagged-particle motion in glassy systems
- Nonequilibrium glassy dynamics of self-propelled hard disks
- Mermin-Wagner fluctuations in 2D amorphous solids
- Fundamental differences between glassy dynamics in two and three dimensions
- Fluctuations and Rheology in Active Bacterial Suspensions
- Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
- Long Wavelength Fluctuations and the Glass Transition in 2D and 3D
- Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
- Active and Nonlinear Microrheology in Dense Colloidal Suspensions
- The nonequilibrium glassy dynamics of self-propelled particles
- Colloids in a bacterial bath: simulations and experiments
- Memory-induced transition from a persistent random walk to circular motion for achiral microswimmers
- Event-Driven Brownian Dynamics for Hard Spheres
- Structural relaxation of polydisperse hard spheres: comparison of the mode-coupling theory to a Langevin dynamics simulation
- Probing the spatiotemporal dynamics of catalytic Janus particles with single-particle tracking and differential dynamic microscopy
- Intermediate scattering function of an anisotropic active Brownian particle
- Unveiling Dimensionality Dependence of Glassy Dynamics: 2D Infinite Fluctuation Eclipses Inherent Structural Relaxation
- How active forces influence nonequilibrium glass transitions
- Active fluidization in dense glassy systems
- Active glasses
- Dynamic Glass Transition in Two Dimensions
- Tuning the motility and directionality of self-propelled colloids
- Mode-Coupling Theory for Active Brownian Particles
- Active glass: ergodicity breaking dramatically affects response to self-propulsion
- A theory for the dynamics of dense systems of athermal self-propelled particles
- From single-particle to collective effective temperatures in an active fluid of self-propelled particles
- Diffusion, subdiffusion and localisation of active colloids in random post lattices
- Multiple Types of Aging in Active Glass
- Active particles in geometrically confined viscoelastic fluids
- Nonmonotonic behavior in the dense assemblies of active colloids
- Long-wavelength fluctuations and anomalous dynamics in two-dimensional liquids
- Ideal circle microswimmers in crowded media
- Colloidal transport in bacteria suspensions: from bacteria scattering to anomalous and enhanced diffusion
- Effective diffusivity of microswimmers in a crowded environment
- Static Structure of Active Brownian Hard Disks
- Exact solution for the force-extension relation of a semiflexible polymer under compression
- From Equilibrium to Steady-State Dynamics after Switch-On of Shear
- Scaling equations for mode-coupling theories with multiple decay channels