Nonequilibrium dynamics of mixtures of active and passive colloidal particles

Abstract

We develop a mesoscopic field theory for the collective nonequilibrium dynamics of multicomponent mixtures of interacting active (i.e., motile) and passive (i.e., nonmotile) colloidal particles with isometric shape in two spatial dimensions. By a stability analysis of the field theory, we obtain equations for the spinodal that describes the onset of a motility-induced instability leading to cluster formation in such mixtures. The prediction for the spinodal is found to be in good agreement with particle-resolved computer simulations. Furthermore, we show that in active-passive mixtures the spinodal instability can be of two different types. One type is associated with a stationary bifurcation and occurs also in one-component active systems, whereas the other type is associated with a Hopf bifurcation and can occur only in active-passive mixtures. Remarkably, the Hopf bifurcation leads to moving clusters. This explains recent results from simulations of active-passive particle mixtures, where moving clusters and interfaces that are not seen in the corresponding one-component systems have been observed.

17 pages, 3 figures

References in corpus (9)

• Motility-Induced Phase Separation
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Pressure and Phase Equilibria in Interacting Active Brownian Spheres
• Activity-induced phase separation and self-assembly in mixtures of active and passive particles
• Tunable long range forces mediated by self-propelled colloidal hard spheres
• Can the self-propulsion of anisotropic microswimmers be described by using forces and torques?
• Motility versus fluctuations in mixtures of self-propelled and passive agents

Cited by in corpus (46)

• Classical dynamical density functional theory: from fundamentals to applications
• Nonreciprocity as a generic route to traveling states
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Non-reciprocity across scales in active mixtures
• Dynamical pattern formation without self-attraction in quorum-sensing active matter: the interplay between nonreciprocity and motility
• Active crystals on a sphere
• Active phase separation: new phenomenology from non-equilibrium physics
• Clogging and Depinning of Ballistic Active Matter Systems in Disordered Media
• Analytical approach to chiral active systems: suppressed phase separation of interacting Brownian circle swimmers
• Current fluctuations of interacting active Brownian particles
• Lamellar to micellar phases and beyond: when tactic active systems admit free-energy functionals
• From a microscopic inertial active matter model to the Schrödinger equation
• Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions
• Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
• Tracer dynamics in one dimensional gases of active or passive particles
• Information and motility exchange in collectives of active particles
• Pair-distribution function of active Brownian spheres in two spatial dimensions: simulation results and analytic representation
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Hydrodynamic interactions dominate the structure of active swimmers' pair distribution functions
• Multi-species dynamical density functional theory for microswimmers: derivation, orientational ordering, trapping potentials, and shear cells
• Particle-scale statistical theory for hydrodynamically induced polar ordering in microswimmer suspensions
• Relations between angular and Cartesian orientational expansions
• Phase Coexistence Implications of Violating Newton's Third Law
• Wetting dynamics by mixtures of fast and slow self-propelled particles
• Clustering-induced velocity-reversals of active colloids mixed with passive particles
• Three-body correlations and conditional forces in suspensions of active hard disks
• Active fluids at circular boundaries: Swim pressure and anomalous droplet ripening
• A Lattice Boltzmann dynamic-Immersed Boundary scheme for the transport of deformable inertial capsules in low-Re flows
• Orientation-dependent propulsion of cone-shaped nano- and microparticles by a traveling ultrasound wave
• Orientational order parameters for arbitrary quantum systems
• Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
• Rectification in a mixture of active and passive particles subject to a ratchet potential
• Dead or alive: Distinguishing active from passive particles using supervised learning
• Towards a liquid-state theory for active matter
• Nematic Torques in Scalar Active Matter: when Fluctuations Favor Polar Order and Persistence
• Exact hydrodynamics and onset of phase separation for an active exclusion process
• Theory of Nonequilibrium Multicomponent Coexistence
• Active-passive mixtures with bulk loading: a minimal active engine in one dimension
• Binary Mixtures of Intelligent Active Brownian Particles with Visual Perception
• Dynamical patterns and nonreciprocal effective interactions in an active-passive mixture through exact hydrodynamic analysis
• Domain Growth Kinetics in Active Binary Mixtures
• Sorting of binary active-passive mixtures in designed microchannels
• Motility-induced crystallization and rotating crystallites
• Activity-driven emulsification of phase-separating binary mixtures
• Self-organised structures in mixed active-passive suspensions due to hydrodynamic interactions