Analytical approach to chiral active systems: suppressed phase separation of interacting Brownian circle swimmers

Abstract

We consider chirality in active systems by exemplarily studying the phase behavior of planar systems of interacting Brownian circle swimmers with a spherical shape. Continuing previous work presented in [G.-J. Liao, S. H. L. Klapp, Soft Matter, 2018, 14, 7873-7882], we derive a predictive field theory that is able to describe the collective dynamics of circle swimmers. The theory yields a mapping between circle swimmers and noncircling active Brownian particles and predicts that the angular propulsion of the particles leads to a suppression of their motility-induced phase separation, being in line with previous simulation results. In addition, the theory provides analytical expressions for the spinodal corresponding to the onset of motility-induced phase separation and the associated critical point as well as for their dependence on the angular propulsion of the circle swimmers. We confirm our findings by Brownian dynamics simulations and an analysis of the collective dynamics using a weighted graph-theoretical network. The agreement between results from theory and simulation is found to be good.

arXiv comment10 pages, 3 figures

References in corpus (69)

• Novel type of phase transition in a system of self-driven particles
• Social Force Model for Pedestrian Dynamics
• Active Particles in Complex and Crowded Environments
• Self-motile colloidal particles: from directed propulsion to random walk
• Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
• The large deviation approach to statistical mechanics
• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Statistical mechanics for natural flocks of birds
• Sedimentation of active colloidal suspensions
• Circular motion of asymmetric self-propelling particles
• Swarming and swirling in self-propelled polar granular rods
• A continuum theory of phase separation kinetics for active Brownian particles
• Phase behaviour of active Brownian particles: The role of dimensionality
• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Full phase diagram of active Brownian disks: from melting to motility-induced phase separation
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• Dynamics of a Brownian circle swimmer
• Classical dynamical density functional theory: from fundamentals to applications
• The Rotating Vicsek Model: Pattern Formation and Enhanced Flocking in Chiral Active Matter
• Effective temperature of active matter
• Sorting of Chiral Microswimmers
• Cluster phases and bubbly phase separation in active fluids: Reversal of the Ostwald process
• Tunable structure and dynamics of active liquid crystals
• Non-Equilibrium Strongly Hyperuniform Fluids of Circle Active Particles with Large Local Density Fluctuations
• Onset of meso-scale turbulence in living fluids
• Active colloidal suspensions: Clustering and phase behavior
• Critical behavior of active Brownian particles
• Active colloids in liquid crystals
• Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
• A self-driven phase transition drives Myxococcus xanthus fruiting body formation
• Optimal run-and-tumble based transportation of a Janus particle with active steering
• Experimental Observation of Flow Fields Around Active Janus Spheres
• Active turbulence in active nematics
• Active Curved Polymers form Vortex Patterns on Membranes
• Nonequilibrium dynamics of mixtures of active and passive colloidal particles
• Critical motility-induced phase separation belongs to the Ising universality class
• Derivation of a hydrodynamic theory for mesoscale dynamics in microswimmer suspensions
• Pattern Formation in Chemically Interacting Active Rotors with Self-Propulsion
• Clustering and phase separation of circle swimmers dispersed in a monolayer
• Hydrodynamic length-scale selection and effective viscosity in microswimmer suspensions
• Motility-induced phase separation of active particles in the presence of velocity alignment
• Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles
• Smoluchowski Diffusion Equation for Active Brownian Swimmers
• Active Brownian particles near straight or curved walls: Pressure and boundary layers
• Clustering and phase behaviour of attractive active particles with hydrodynamics
• Simultaneous Phase Separation and Pattern Formation in Chiral Active Mixtures
• Active crystals on a sphere
• Active Microrheology, Hall Effect, and Jamming in Chiral Fluids
• Helical paths, gravitaxis, and separation phenomena for mass-anisotropic self-propelling colloids: experiment versus theory
• Swimming trajectories of a three-sphere microswimmer near a wall
• Interparticle torques suppress motility-induced phase separation for rodlike particles
• Non-Gaussian behaviour of a self-propelled particle on a substrate
• Natural selection in the colloid world: Active chiral spirals
• Lane formation in a system of dipolar microswimmers
• Reversibility, Pattern Formation and Edge Transport in Active Chiral and Passive Disk Mixtures
• Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
• Laning and Clustering Transitions in Driven Binary Active Matter Systems
• Dynamical density functional theory for circle swimmers
• Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
• Pair-distribution function of active Brownian spheres in two spatial dimensions: simulation results and analytic representation
• Critical behavior of active Brownian particles: Connection to field theories
• Lane formation in a driven attractive fluid
• Anomalous magneto-transport in disordered structures: classical edge-state percolation
• Relations between angular and Cartesian orientational expansions
• Static Structure of Active Brownian Hard Disks
• Random motion of a circle microswimmer in a random environment
• Reply to Comment on "Circular Motion of Asymmetric Self-Propelling Particles"

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• From a microscopic inertial active matter model to the Schrödinger equation
• Chiral Active Particles are Sensitive Reporter to Environmental Geometry
• Chiral active matter in external potentials
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions
• Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
• Hydrodynamic Synchronisation of Chiral Microswimmers
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
• Emergent Mesoscale Correlations in Active Solids with Noisy Chiral Dynamics
• Phase Separation, Capillarity, and Odd Surface Flows in Chiral Active Matter
• Anomalous grain dynamics and grain locomotion of odd crystals
• Singular density correlations in chiral active fluids in three dimensions
• AMEP: The Active Matter Evaluation Package for Python
• Chirality, confinement and dimensionality govern re-entrant transitions in active matter
• Jerky chiral active particles
• Inertia-chirality interplay in active Brownian motion: exact dynamics and phase maps
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density