Enhanced diffusion and ordering of self-propelled rods

Abstract

Starting from a minimal physical model of self propelled hard rods on a substrate in two dimensions, we derive a modified Smoluchowski equation for the system. Self -propulsion enhances longitudinal diffusion and modifies the mean field excluded volume interaction. From the Smoluchowski equation we obtain hydrodynamic equations for rod concentration, polarization and nematic order parameter. New results at large scales are a lowering of the density of the isotropic-nematic transition and a strong enhancement of boundary effects in confined self-propelled systems.

4 pages, 2 figures

References in corpus (13)

• Novel type of phase transition in a system of self-driven particles
• Hydrodynamic fluctuations and instabilities in ordered suspensions of self-propelled particles
• Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
• Non-equilibrium clustering of self-propelled rods
• Swarming and swirling in self-propelled polar granular rods
• Boltzmann and hydrodynamic description for self-propelled particles
• Active nematics on a substrate: giant number fluctuations and long-time tails
• Minimal model for active nematics: quasi-long-range order and giant fluctuations
• Hydrodynamics of self-propelled hard rods
• Organization and instabilities of entangled active polar filaments
• Pattern formation of microtubules and motors: inelastic interaction of polar rods
• Self-propelled particles with fluctuating speed and direction of motion
• Hydrodynamics of isotropic and liquid crystalline active polymer solutions

Cited by in corpus (119)

• Collective motion
• The Mechanics and Statistics of Active Matter
• Motility-Induced Phase Separation
• Physics of Microswimmers - Single Particle Motion and Collective Behavior
• Athermal Phase Separation of Self-Propelled Particles with no Alignment
• Collective Motion of Vibrated Polar Disks
• Emergent behavior in active colloids
• Large-scale collective properties of self-propelled rods
• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Tuned, driven, and active soft matter
• Pattern formation in self-propelled particles with density-dependent motility
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• Inertial effects of self-propelled particles: from active Brownian to active Langevin motion
• Fluctuations and Pattern Formation in Self-Propelled Particles
• Spontaneous Segregation of Self-Propelled Particles with Different Motilities
• Large-scales patterns in a minimal cognitive flocking model: incidental leaders, nematic patterns, and aggregates
• Revisiting the flocking transition using active spins
• Swarm behavior of self-propelled rods and swimming flagella
• Living clusters and crystals from low density suspensions of active colloids
• Data-driven quantitative modeling of bacterial active nematics
• Long-range Ordering of Vibrated Polar Disks
• Emergent states in dense systems of active rods: from swarming to turbulence
• Hydrodynamic suppression of phase separation in active suspensions
• Simple and faithful nonlinear field equations for aligning self-propelled rods
• Sheared active fluids: thickening, thinning and vanishing viscosity
• Traveling and resting crystals in active systems
• Collective Motion of Self-Propelled Particles with Memory
• Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models
• Mesoscopic theory for fluctuating active nematics
• Collective behavior of penetrable self-propelled rods in two dimensions
• Large-scale chaos and fluctuations in active nematics
• Dynamically Generated Patterns in Dense Suspensions of Active Filaments
• Dynamical Density Functional Theory For Microswimmers
• Lattice Boltzmann Methods and Active Fluids
• Collective dynamics of self-propelled particles with variable speed
• Soft deformable self-propelled particles
• Spatial Structures and Giant Number Fluctuations in Models of Active Matter
• Continuous theory of active matter systems with metric-free interactions
• Nonequilibrium Statistical Mechanics of Self-propelled Hard Rods
• Cluster dynamics and cluster size distributions in systems of self-propelled particles
• Collective motion of binary self-propelled particle mixtures
• Self propelled particle transport in regular arrays of rigid asymmetric obstacles
• Clustering and phase behaviour of attractive active particles with hydrodynamics
• Dissipation controls transport and phase transitions in active fluids: Mobility, diffusion and biased ensembles
• Mesoscale pattern formation of self-propelled rods with velocity reversal
• Pattern-induced local symmetry breaking in active matter systems
• Self-Organized Hydrodynamics with congestion and path formation in crowds
• Vesicle shape transformations driven by confined active filaments
• Comparison between Smoluchowski and Boltzmann approaches for self-propelled rods
• Giant Kovacs-Like Memory Effect for Active Particles
• Active Matter Class with Second-Order Transition to Quasi-Long-Range Polar Order
• Phase Separation and Emergent Structures in an Active Nematic
• A mesoscopic field theoretical approach for active systems
• Enhanced dynamics of active Brownian particles in periodic obstacle arrays and corrugated channels
• Structure and Dynamics of a Phase-Separating Active Colloidal Fluid
• Active Brownian Rods
• Gliding filament system giving both orientational order and clusters in collective motion
• Thermal and Athermal Swarms of Self-Propelled Particles
• Optimising the relaxation route with optimal control
• Molecular-scale substrate anisotropy and crowding drive long-range nematic order of cell monolayers
• From scalar to polar active matter: Connecting simulations with mean-field theory
• Role of particle conservation in self-propelled particle systems
• Velocity condensation for magnetotactic bacteria
• Noisy swimming at low Reynolds numbers
• Numerical treatment of the Boltzmann equation for self-propelled particle systems
• A continuous-time persistent random walk model for flocking
• Active matter beyond mean-field: Ring-kinetic theory for self-propelled particles
• Isotropic-nematic transition of self-propelled rods in three dimensions
• Flocking and reorientation transition in the 4-state active Potts model
• Passive particle in an active bath: How can we tell it is out of equilibrium?
• Active particles in non-inertial frames: how to self-propel on a carousel
• Fluctuating hydrodynamics and mesoscopic effects of spatial correlations in dissipative systems with conserved momentum
• Hysteresis, reentrance, and glassy dynamics in systems of self-propelled rods
• Flocking with a $q$-fold discrete symmetry: band-to-lane transition in the active Potts model
• Microscopic basis for pattern formation and anomalous transport in two-dimensional active gels
• Diversity of phase transitions and phase separations in active fluids
• Non-linear rheology of active particle suspensions: Insights from an analytical approach
• Computing collision stress in assemblies of active spherocylinders: applications of a fast and generic geometric method
• Rheological properties of a dilute suspension of self-propelled particles
• Collective Motion and Phase Transitions of Symmetric Camphor Boats
• Lattice models for granular-like velocity fields: Hydrodynamic limit
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Effective run-and-tumble dynamics of bacteria baths
• Effect of dynamic and static friction on an asymmetric granular piston
• Nucleation-induced transition to collective motion in active systems
• Three-dimensional Brownian diffusion of rod-like macromolecules in the presence of randomly distributed spherical obstacles: Molecular dynamics simulation
• Force renormalization for probes immersed in an active bath
• Flocking from a quantum analogy: Spin-orbit coupling in an active fluid
• Hydrodynamic Equations for Flocking Models without Velocity Alignment
• Linear response in the uniformly heated granular gas
• Collective Hall current in chiral active fluids: Coupling of phase and mass transport through traveling bands
• Activity induced isotropic-polar transition in active liquid crystals
• A simple model system for self-propelled particles passing a bottleneck
• Deriving hydrodynamic equations from dry active matter models in three dimensions
• Equation of motion for density distribution of many circling particles with an overdamped circle center
• Environment-stored memory in active nematics and extra-cellular matrix remodeling
• Thermodynamic constraints and exact scaling exponents of flocking matter
• Motor-driven Dynamics of Cytoskeletal FIlaments in Motility Assays
• Transport coefficients of self-propelled particles. II. Numerics for vorticity fluctuations and the reverse perturbation method
• Long-wavelength instabilities in a system of interacting active particles
• Transport coefficients of self-propelled particles: Reverse perturbations and transverse current correlations
• Topological transition in filamentous cyanobacteria: from motion to structure
• Formation of Spiral-Coils among Self-Propelled Chains
• Collision-induced torque mediates transition of chiral dynamic patterns formed by active particles
• Propagating wave in the flock of self-propelled particles
• Vortex with four-fold defect lines in a simple model of self-propelled particles
• Gaussian theory for spatially distributed self-propelled particles
• Supramolecular assemblies in active motor-filament systems: micelles, bilayers, and foams
• Synchronized Rotations of Active Particles on Chemical Substrates
• Critical assessment of von Mises distribution and an infinite series ansatz for self-propelled particles
• Band structure in collective motion with quenched range of interaction
• Nematic alignment of self-propelled particles in the macroscopic regime
• Active Brownian motion of an asymmetric rigid particle
• Active screws: Emergent active chiral nematics of spinning self-propelled rods
• The Hamiltonian mechanics of exotic particles
• A Data-Driven Statistical Description for the Hydrodynamics of Active Matter
• Activity-induced phase transition and coarsening dynamics in dry apolar active nematics
• Effective single component description of steady state structures of passive particles in an active bath
• The Fast Wandering of Slow Birds