Pair-distribution function of active Brownian spheres in two spatial dimensions: simulation results and analytic representation
arXiv:1912.02965 · doi:10.1063/1.5140725
Abstract
We investigate the full pair-distribution function of a homogeneous suspension of spherical active Brownian particles interacting by a Weeks-Chandler-Andersen potential in two spatial dimensions. The full pair-distribution function depends on three coordinates describing the relative positions and orientations of two particles, the Péclet number specifying the activity of the particles, and their mean packing density. This five-dimensional function is obtained from Brownian dynamics simulations. We discuss its structure taking into account all of its degrees of freedom. In addition, we present an approximate analytic expression for the product of the full pair-distribution function and the interparticle force. We find that the analytic expression, which is typically needed when deriving analytic models for the collective dynamics of active Brownian particles, is in good agreement with the simulation results. The results of this work can thus be expected to be helpful for the further theoretical investigation of active Brownian particles as well as nonequilibrium statistical physics in general.
arXiv comment15 pages, 5 figures, 5 tables
References in corpus (39)
- Novel type of phase transition in a system of self-driven particles
- Active Particles in Complex and Crowded Environments
- The Mechanics and Statistics of Active Matter
- Motility-Induced Phase Separation
- Physics of Microswimmers - Single Particle Motion and Collective Behavior
- Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Emergence of macroscopic directed motion in populations of motile colloids
- 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 behaviour of active Brownian particles: The role of dimensionality
- Scalar field theory for active-particle phase separation
- Full phase diagram of active Brownian disks: from melting to motility-induced phase separation
- Green Algae as Model Organisms for Biological Fluid Dynamics
- Activity-induced phase separation and self-assembly in mixtures of active and passive particles
- Microscopic theory for the phase separation of self-propelled repulsive disks
- Tuned, driven, and active soft matter
- Effective Interactions in Active Brownian Suspensions
- Effective Cahn-Hilliard equation for the phase separation of active Brownian particles
- Self-organized Beating and Swimming of Internally Driven Filaments
- Active colloidal suspensions: Clustering and phase behavior
- An active approach to colloidal self-assembly
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
- Critical behavior of active Brownian particles
- Active Model H: Scalar Active Matter in a Momentum-Conserving Fluid
- Self-assembly of colloidal molecules due to self-generated flow
- Nonequilibrium dynamics of mixtures of active and passive colloidal particles
- Derivation of a hydrodynamic theory for mesoscale dynamics in microswimmer suspensions
- Dynamical density functional theory for colloidal particles with arbitrary shape
- Applicability of Effective Pair Potentials for Active Brownian Particles
- Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
- Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
- Effective potential method for active particles
- Differently Shaped Hard Body Colloids in Confinement: From passive to active particles
- Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions
- Binary pusher-puller mixtures of active microswimmers and their collective behavior
- Hydrodynamic interactions dominate the structure of active swimmers' pair distribution functions
- Static Structure of Active Brownian Hard Disks
- Three-body correlations and conditional forces in suspensions of active hard disks
Cited by in corpus (14)
- Classical dynamical density functional theory: from fundamentals to applications
- Active phase separation: new phenomenology from non-equilibrium physics
- Analytical approach to chiral active systems: suppressed phase separation of interacting Brownian circle swimmers
- From a microscopic inertial active matter model to the Schrödinger equation
- Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
- Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
- Perspective: New directions in dynamical density functional theory
- Orientation-dependent propulsion of cone-shaped nano- and microparticles by a traveling ultrasound wave
- Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
- Kinetic temperature and pressure of an active Tonks gas
- Self-diffusive dynamics of active Brownian particles at moderate densities
- Dynamic Overlap Concentration Scale of Active Colloids
- Motility-induced crystallization and rotating crystallites
- A Hitchhiker's Guide To Active Motion