Active Brownian Particles. From Individual to Collective Stochastic Dynamics

Abstract

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework of statistical mechanics. Examples of such active units in complex physico-chemical and biological systems are chemically powered nano-rods, localized patterns in reaction-diffusion system, motile cells or macroscopic animals. Based on the description of individual motion of point-like active particles by stochastic differential equations, we discuss different velocity-dependent friction functions, the impact of various types of fluctuations and calculate characteristic observables such as stationary velocity distributions or diffusion coefficients. Finally, we consider not only the free and confined individual active dynamics but also different types of interaction between active particles. The resulting collective dynamical behavior of large assemblies and aggregates of active units is discussed and an overview over some recent results on spatiotemporal pattern formation in such systems is given.

161 pages, Review, Eur Phys J Special-Topics, accepted

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Cited by in corpus (570)

• Active Particles in Complex and Crowded Environments
• Motility-Induced Phase Separation
• Physics of Microswimmers - Single Particle Motion and Collective Behavior
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Circular motion of asymmetric self-propelling particles
• Emergent behavior in active colloids
• A continuum theory of phase separation kinetics for active Brownian particles
• Phase behaviour of active Brownian particles: The role of dimensionality
• Active matter
• Computational models for active matter
• Full phase diagram of active Brownian disks: from melting to motility-induced phase separation
• A self-propelled particle in an external potential: is there an effective temperature?
• Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
• Broken detailed balance and non-equilibrium dynamics in living systems
• Phototaxis of synthetic microswimmers in optical landscapes
• Tuned, driven, and active soft matter
• Self-propelled Janus particles in a ratchet: Numerical simulations
• Self-Propelled Rods: Insights and Perspectives for Active Matter
• Effective Interactions in Active Brownian Suspensions
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Inertial effects of self-propelled particles: from active Brownian to active Langevin motion
• Steady state, relaxation and first-passage properties of a run-and-tumble particle in one-dimension
• Diffusion, subdiffusion, and trapping of active particles in heterogeneous media
• Spontaneous velocity alignment in Motility-induced Phase Separation
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Negative interfacial tension in phase-separated active suspensions
• The physics of active polymers and filaments
• Dynamics of self-propelled Janus particles in viscoelastic fluids
• Transport powered by bacterial turbulence
• Revisiting the flocking transition using active spins
• Motility-induced temperature difference in coexisting phases
• Entropy production and fluctuation theorems for active matter
• Virial pressure in systems of active Brownian particles
• An active approach to colloidal self-assembly
• Motility-Induced Microphase and Macrophase Separation in a Two-Dimensional Active Brownian Particle System
• Entropy production of active particles and for particles in active baths
• Active Brownian Motion in Two Dimensions
• Active Matter Transport and Jamming on Disordered Landscapes
• Conformational properties of active semiflexible polymers
• Towards a statistical mechanical theory of active fluids
• Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
• Non-Gaussian statistics for the motion of self-propelled Janus particles: experiment versus theory
• Time-(ir)reversibility in active matter: from micro to macro
• Traveling and resting crystals in active systems
• Collective Motion of Self-Propelled Particles with Memory
• How does a flexible chain of active particles swell?
• Mesoscopic theory for fluctuating active nematics
• Directed transport of active particles over asymmetric energy barriers
• Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
• Probing the spatiotemporal dynamics of catalytic Janus particles with single-particle tracking and differential dynamic microscopy
• Statistical mechanics of a chiral active fluid
• Exact Hydrodynamic Description of Active Lattice Gases
• The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
• Anomalous Thermomechanical Properties of a Self-propelled Colloidal Fluid
• Intermediate scattering function of an anisotropic active Brownian particle
• Minimal continuum theories of structure formation in dense active fluids
• Vortex arrays and meso-scale turbulence of self-propelled particles
• Facilitation of polymer looping and giant polymer diffusivity in crowded solutions of active particles
• First-passage time of run-and-tumble particles
• Active topolectrical circuits
• Viscotaxis: microswimmer navigation in viscosity gradients
• Extreme active matter at high densities
• Steady State of an Active Brownian Particle in Two-Dimensional Harmonic Trap
• Run-and-tumble particles in two-dimensions : Marginal position distributions
• Dynamical Density Functional Theory For Microswimmers
• Solid-Liquid Transition of Deformable and Overlapping Active Particles
• Swim pressure on walls with curves and corners
• Giant Negative Mobility of Janus Particles in a Corrugated Channel
• Active escape dynamics: the effect of persistence on barrier crossing
• Odd Diffusivity of Chiral Random Motion
• Active glasses
• Stochastic thermodynamics of active Brownian particles
• Generic long-range interactions between passive bodies in an active fluid
• Active Brownian motion in a narrow channel
• Active swarms on a sphere
• Heat, temperature and Clausius inequality in a model for active brownian particles
• Tuning the motility and directionality of self-propelled colloids
• Anomalous diffusion in time-fluctuating non-stationary diffusivity landscapes
• Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models
• Continuous theory of active matter systems with metric-free interactions
• Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap
• Long time position distribution of an active Brownian particle in two dimensions
• Which Interactions Dominate in Active Colloids?
• Derivation of a hydrodynamic theory for mesoscale dynamics in microswimmer suspensions
• Controlling active self-assembly through broken particle symmetries
• Capturing self-propelled particles in a moving microwedge
• Nonmutual torques and the unimportance of motility for long-range order in two-dimensional flocks
• Run-and-Tumble particles in Two-dimensions under Stochastic Resetting
• Asymmetric exchange in flocks
• Self-induced polar order of active Brownian particles in a harmonic trap
• Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings
• Origins and diagnostics of the nonequilibrium character of active systems
• Phase co-existence in bidimensional passive and active dumbbell systems
• Brownian Motion of Boomerang Colloidal Particles
• Self-propelled hard disks: implicit alignment and transition to collective motion
• Active Brownian Motion in two-dimensions under Stochastic Resetting
• Active processes in one dimension
• Escape dynamics of active particles in multistable potentials
• Active Brownian particles: Entropy production and fluctuation-response
• Phase separation and large deviations of lattice active matter
• Velocity alignment promotes motility-induced phase separation
• Self-propelled particles with selective attraction-repulsion interaction - From microscopic dynamics to coarse-grained theories
• Diffusion of Chiral Janus Particles in a Sinusoidal Channel
• Active Ornstein-Uhlenbeck model for self-propelled particles with inertia
• Quantitative Assessment of the Toner and Tu Theory of Polar Flocks
• Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
• Active Brownian particles with velocity-alignment and active fluctuations
• Smoluchowski Diffusion Equation for Active Brownian Swimmers
• Physics-based modeling and data representation of pedestrian pairwise interactions
• Dynamical pattern formation without self-attraction in quorum-sensing active matter: the interplay between nonreciprocity and motility
• A review of active matter reviews
• Coexistence of absolute negative mobility and anomalous diffusion
• Diffusion coefficient of a Brownian particle in equilibrium and nonequilibrium: Einstein model and beyond
• The convex hull of the run-and-tumble particle in a plane
• Dynamics and Separation of Circularly Moving Particles in Asymmetric Patterned Arrays
• Hydrodynamics can Determine the Optimal Route for Microswimmer Navigation
• Aging and rejuvenation of active matter under topological constraints
• Active Brownian Motion with Directional Reversals
• Linear response theory and Green-Kubo relations for active matter
• Time-dependent inertia of self-propelled particles: the Langevin rocket
• Fluctuation theorems in general stochastic processes with odd-parity variables
• Parameter Estimation of Social Forces in Crowd Dynamics Models via a Probabilistic Method
• Linear response and correlation of a self-propelled particle in the presence of external fields
• Active crystals on a sphere
• Mesoscale pattern formation of self-propelled rods with velocity reversal
• Universality for Moving Stripes: A Hydrodynamic Theory of Polar Active Smectics
• Understanding Collective Dynamics of Soft Active Colloids by Binary Scattering
• Characterization and Control of the Run-and-Tumble Dynamics of {\it Escherichia Coli}
• Active Matter Ratchets with an External Drift
• Analytic Solution of an Active Brownian Particle in a Harmonic Well
• Helical paths, gravitaxis, and separation phenomena for mass-anisotropic self-propelling colloids: experiment versus theory
• Active Brownian motion with orientation-dependent motility: theory and experiments
• Dynamics of a homogeneous active dumbbell system
• Interactions in Active Colloids
• Optimal search strategies of run-and-tumble walks
• Active nonreciprocal attraction between motile particles in an elastic medium
• Nutrient transport driven by microbial active carpets
• Brownian motion of a circle swimmer in a harmonic trap
• Activity-Enhanced Self-Assembly of a Colloidal Kagome Lattice
• Run-and-tumble bacteria slowly approaching the diffusive regime
• Silent Flocks
• Dynamical self-assembly of dipolar active Brownian particles in two dimensions
• Fluctuations around mean walking behaviours in diluted pedestrian flows
• A comparative study between two models of active cluster-crystals
• Emergence of Nonwhite Noise in Langevin Dynamics with Magnetic Lorentz Force
• Active dumbbells: dynamics and morphology in the coexisting region
• Elasticity-based polymer sorting in active fluids: A Brownian dynamics study
• Kramers escape of a self-propelled particle
• Physically consistent numerical solver for time-dependent Fokker-Planck equations
• Traveling Bands, Clouds, and Vortices of Chiral Active Matter
• Effects of inertia on conformation and dynamics of tangentially-driven active filaments
• Thermodynamic uncertainty relation for underdamped Langevin systems driven by a velocity-dependent force
• Brownian Motion of Arbitrarily Shaped Particles in Two-Dimensions
• Active particles in heterogeneous media display new physics: existence of optimal noise and absence of bands and long-range order
• Dry Active Matter exhibits a self-organized 'Cross Sea' Phase
• DNA supercoiling in bacteria: state of play and challenges from a viewpoint of physics based modeling
• Lamellar to micellar phases and beyond: when tactic active systems admit free-energy functionals
• Wetting Transitions Displayed by Persistent Active Particles
• Stochastic Work Extraction in a colloidal heat engine in presence of colored noise
• Asymptotic derivation of Langevin-like equation with non-Gaussian noise and its analytical solution
• Active Brownian and inertial particles in disordered environments: short-time expansion of the mean-square displacement
• How irreversible are steady-state trajectories of a trapped active particle?
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Effective interactions between inclusions in an active bath
• Enhanced dynamics of active Brownian particles in periodic obstacle arrays and corrugated channels
• Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
• Directed Autonomous Motion and Chiral Separation of Self-Propelled Janus Particles in Convection Roll Arrays
• Second law for active heat engines
• Splitting Probabilities of Jump Processes
• Pattern formation in active particle systems due to competing alignment interactions
• Active Brownian agents with concentration-dependent chemotactic sensitivity
• Selective social interactions and speed-induced leadership in schooling fish
• Vapour-Liquid Coexistence of an Active Lennard-Jones fluid
• Disordered boundaries destroy bulk phase separation in scalar active matter
• Effective equilibrium states in mixtures of active particles driven by colored noise
• Mechanochemical fluctuation theorem and thermodynamics of self-phoretic motors
• Chiral Active Particles are Sensitive Reporter to Environmental Geometry
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions
• Escape kinetics of self-propelled particles from a circular cavity
• The Brownian Mean Field model
• Hydrodynamics of chiral squirmers
• Direction reversing active Brownian particle in a harmonic potential
• Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
• Irreversibility in active matter: General framework for active Ornstein-Uhlenbeck particles
• Dynamical density functional theory for circle swimmers
• Pressure in an exactly solvable model of active fluid
• Differently Shaped Hard Body Colloids in Confinement: From passive to active particles
• Superdiffusion, large-scale synchronization and topological defects
• Effective potential method for active particles
• Self-assembly of active amphiphilic Janus particles
• Run-and-Tumble-Like Motion of Active Colloids in Viscoelastic Media
• Trapping of interacting propelled colloidal particles in inhomogeneous media
• A Lattice Boltzmann Model for Squirmers
• Transport of active particles in an open-wedge channel
• Active Refrigerators Powered by Inertia
• Mean area of the convex hull of a run and tumble particle in two dimensions
• Understanding Contagion Dynamics through Microscopic Processes in Active Brownian Particles
• Active Brownian particles: mapping to equilibrium polymers and exact computation of moments
• Exact position distribution of a harmonically-confined run-and-tumble particle in two dimensions
• Transient dispersion process of active particles
• Collective dynamics in systems of active Brownian particles with dissipative interactions
• Emergent smectic order in simple active particle models
• Motion of two micro-wedges in a turbulent bacterial bath
• Toward the full short-time statistics of an active Brownian particle on the plane
• Modelling intermittent anomalous diffusion with switching fractional Brownian motion
• Predicting Critical Transitions in Multiscale Dynamical Systems Using Reservoir Computing
• Dynamics of a linear magnetic "microswimmer molecule"
• The stability phase diagram of active Brownian particles
• Introduction to colloidal dispersions in external fields
• Pair-distribution function of active Brownian spheres in two spatial dimensions: simulation results and analytic representation
• Self-Propelled Colloidal Particle Near a Planar Wall: A Brownian Dynamics Study
• Emerging activity in bilayered dispersions with wake-mediated interactions
• Infinite ergodic theory meets Boltzmann statistics
• Szilard engines and information-based work extraction for active systems
• Cage Length Controls the Non-Monotonic Dynamics of Active Glassy Matter
• Swimming path statistics of an active Brownian particle with time-dependent self-propulsion
• Markovian robots: minimal navigation strategies for active particles
• Thermodynamics of active matter: Tracking dissipation across scales
• Non-Gaussian displacements in active transport on a carpet of motile cells
• Active Brownian motion of emulsion droplets: Coarsening dynamics at the interface and rotational diffusion
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Velocity condensation for magnetotactic bacteria
• Non-equilibrium thermodynamics of diffusion in fluctuating potentials
• Competing ferromagnetic and nematic alignment in self-propelled polar particles
• Collective self-optimization of communicating active particles
• Dynamics of a deformable active particle under shear flow
• Aging in thermal active glasses
• A fine balance of chemotactic and hydrodynamic torques: when microswimmers orbit a pillar just once
• Binary pusher-puller mixtures of active microswimmers and their collective behavior
• Designing, Synthesizing and Modeling Active Fluids
• Effective Langevin equations for a polar tracer in an active bath
• Run-and-Tumble particle in inhomogeneous media in one dimension
• Emergence of collective motion in a model of interacting Brownian particles
• Polarization-Density Patterns of Active Particles in Motility Gradients
• Optimal navigation strategy of active Brownian particles in target-search problems
• Statistical Mechanics of Transport Processes in Active Fluids II: Equations of Hydrodynamics for Active Brownian Particles
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• An agent-based framework of active matter with applications in biological and social systems
• Non-Gaussian displacement distributions in models of heterogeneous active particle dynamics
• Statistical mechanics of transport processes in active fluids: Equations of hydrodynamics
• Hydrodynamics of Turning Flocks
• Pedestrian orientation dynamics from high-fidelity measurements
• Unconventional entropy production in the presence of momentum-dependent forces
• Hydrodynamics of polymers in an active bath
• Aspects of the density field in an active nematic
• Active matter, microreversibility, and thermodynamics
• Getting drowned in a swirl: deformable bead-spring model microswimmers in external flow fields
• Target search of active agents crossing high energy barriers
• Heat fluctuations in a harmonic chain of active particles
• Motility-Induced Clustering and Meso-Scale Turbulence in Active Polar Fluids
• Brownian electric bubble quasiparticles
• Microscopic theory for the diffusion of an active particle in a crowded environment
• Universality of active wetting transitions
• Inertial active matter with Coulomb friction
• From Clarkia to Escherichia and Janus: the physics of natural and synthetic active colloids
• Signatures of irreversibility in microscopic models of flocking
• Dynamics of a helical swimmer crossing viscosity gradients
• Isotropic-nematic transition of self-propelled rods in three dimensions
• Learning developmental mode dynamics from single-cell trajectories
• Control of Active Brownian Particles: An exact solution
• Hydrodynamic effects on the liquid-hexatic transition of active colloids
• Quantitative characterization of run-and-tumble statistics in bulk bacterial suspensions
• Static Structure of Active Brownian Hard Disks
• Scaling of cluster growth for coagulating active particles
• Symmetric mixtures of pusher and puller microswimmers behave as noninteracting suspensions
• Swarming in viscous fluids: three-dimensional patterns in swimmer- and force-induced flows
• Constructing a Stochastic Model of Bumblebee Flights from Experimental Data
• Ising-like critical behavior of vortex lattices in an active fluid
• Active interface polarization is a state function
• Random motion of a circle microswimmer in a random environment
• Beating to rotational transition of a clamped active ribbon-like filament
• Self-propulsion and crossing statistics under random initial conditions
• Thermal Transport Dynamics in Active Heat Transfer Fluids (AHTF)
• Fluctuations of entropy production of a run-and-tumble particle
• The random walk of intermittently self-propelled particles
• How to define temperature in active systems?
• Exact moments and re-entrant transitions in the inertial dynamics of active Brownian particles
• Coherent motion of monolayer sheets under confinement and its pathological implications
• Following fluctuating signs: anomalous active superdiffusion of swimmers in anisotropic media
• Spontaneous membrane formation and self-encapsulation of active rods in an inhomogeneous motility field
• Active fluids at circular boundaries: Swim pressure and anomalous droplet ripening
• A deformable microswimmer in a swirl: capturing and scattering dynamics
• Inertial effects on rectification and diffusion of active Brownian particles in an asymmetric channel
• Active Brownian Particles in a Circular Disk with an Absorbing Boundary
• Impact of chirality on active Brownian particle: Exact moments in two and three dimensions
• Anisotropic particles near surfaces: Self-propulsion and friction
• Stationary states of activity-driven harmonic chains
• Attractor-driven matter
• Active Matter in Lateral Parabolic Confinement: From Subdiffusion to Superdiffusion
• Data-driven classification of individual cells by their non-Markovian motion
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
• Periodic potential can enormously boost free particle transport induced by active fluctuations
• Asymmetric pattern formation in microswimmer suspensions induced by orienting fields
• Dynamics of Janus motors with microscopically reversible kinetics
• Eliminating Inertia in a Stochastic Model of a Micro-Swimmer with Constant Speed
• Thermodynamically consistent model of an active Ornstein-Uhlenbeck particle
• Driving kinetically constrained models into non-equilibrium steady states: structural and slow transport properties
• Confinement-induced alternating interactions between inclusions in an active fluid
• Swimming suppresses correlations in dilute suspensions of pusher microorganisms
• Beating of grafted chains induced by active Brownian particles
• Long-time anomalous swimmer diffusion in smectic liquid crystals
• Diffusion of chiral active particles in a Poiseuille flow
• Kinematic matrix theory and universalities in self-propellers and active swimmers
• Spectral density of individual trajectories of an active Brownian particle
• Active Brownian motion with speed fluctuations in arbitrary dimensions: exact calculation of moments and dynamical crossovers
• Spontaneous velocity alignment of Brownian particles with feedback-induced propulsion
• Heating leads to liquid-crystal and crystalline order in a two-temperature active fluid of rods
• Effective thermodynamics of two interacting underdamped Brownian particles
• Current fluctuations in an interacting active lattice gas
• Epidemic processes on self-propelled particles: continuum and agent-based modelling
• Generalized disorder averages and current fluctuations in run and tumble particles
• Exactly solvable model of a passive Brownian heat engine and its comparison with active engines
• Clustering determines the survivor for competing Brownian and Lévy walkers
• Density and Polarization of Active Brownian Particles in Curved Activity Landscapes
• Population splitting of rodlike swimmers in Couette flow
• Entropy production by active particles: Coupling of odd and even functions of velocity
• Re-entrant phase separation in nematically aligning active polar particles
• Effective forces between active polymers
• Transport in polymer membranes beyond linear response: Controlling permselectivity by the driving force
• A kinetic-Monte Carlo perspective on active matter
• Stochastic force dynamics of the model microswimmer Chlamydomonas reinhardtii: Active forces and energetics
• Mechanisms of carrier transport induced by a microswimmer bath
• Speed-vs-Accuracy Tradeoff in Collective Estimation: An Adaptive Exploration-Exploitation Case
• A Quantitative Kinetic Theory of Flocking with Three-Particle-Closure
• Active Random Walks in One and Two Dimensions
• Two-temperature activity induces liquid-crystal phases inaccessible in equilibrium
• Mechanical pressure and work cycle of confined active Brownian particles
• Nonequilibrium steady state of trapped active particles
• Enhanced diffusivity in microscopically reversible active matter
• Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
• Cell decision-making through the lens of Bayesian learning
• Nonequilibrium diffusion of active particles bound to a semi-flexible polymer network: simulations and fractional Langevin equation
• Acoustically propelled nano- and microcones: fast forward and backward motion
• Transport and phase separation of active Brownian particles in fluctuating environments
• Kinetic Monte-Carlo Algorithms for Active-Matter systems
• Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle
• Motility-induced coexistence of a hot liquid and a cold gas
• Twitching Motility of Bacteria with Type IV Pili: Fractal Walks, First passage time and their Consequences on Microcolonies
• Mechanism for giant enhancement of transport induced by active fluctuations
• Mean field approach of dynamical pattern formation in underdamped active matter with short-ranged alignment and distant anti-alignment interactions
• Mode selection in compressible active flow networks
• Fluctuations of rotational and translational degrees of freedom in an interacting active dumbbell system
• Irreversibility in linear systems with colored noise
• Flocking from a quantum analogy: Spin-orbit coupling in an active fluid
• Nonequilibrium steady states in Langevin thermal systems
• Resonant diffusion of a gravitactic circle swimmer
• The effect of perception anisotropy on particle systems describing pedestrian flows in corridors
• Non-equilibrium driven by an external torque in the presence of a magnetic field
• Time-delayed Duffing oscillator in an active bath
• Most probable path of an active Brownian particle
• Dynamical structures in phase-separating non-reciprocal polar active mixtures
• Engineering active motion in quantum matter
• Diffusion of Active Particles With Stochastic Torques Modeled as $\alpha$-Stable Noise
• Search efficiency of discrete fractional Brownian motion in a random distribution of targets
• Efficient Rare Event Sampling with Unsupervised Normalising Flows
• Synchronization and collective motion of globally coupled Brownian particles
• Effective dynamics and fluctuations of a trapped probe moving in a fluid of active hard discs
• Self-propulsion with speed and orientation fluctuation: exact computation of moments and dynamical bistabilities in displacement
• From single to collective motion of social amoebae: a computational study of interacting cells
• First passage statistics of active random walks on one and two dimensional lattices
• Jamming and flocking in the restricted active Potts model
• Classifying the age of a glass based on structural properties: A machine learning approach
• Sampling rare fluctuations of discrete-time Markov chains
• Inertial self-propelled particles in anisotropic environments
• The microscopic phase density functional approach to the construction of the kinetic and hydrodynamic description for the system of self-propelled particles
• Gaussian Memory in Kinematic Matrix Theory for Self-Propellers
• Swinging Motion of Active Deformable Particles in Poiseuille Flow
• Colloidal Brazil nut effect in microswimmer mixtures induced by motility contrast
• GPU parallel simulation algorithm of Brownian particles with excluded volume using Delaunay triangulations
• Spatial patterns of competing random walkers
• Chemokinetic scattering, trapping, and avoidance of active Brownian particles
• Ratchet-induced variations in bulk states of an active ideal gas
• The Langevin equation for systems with a preferred spatial direction
• Asymptotic analysis and simulation of mean first passage time for active Brownian particles in 1-D
• Diffraction and interference with run-and-tumble particles
• Proposal of a quantum version of active particles via a nonunitary quantum walk
• The BBGKY Hierarchy and Fokker-Planck Equation for Many-Body Dissipative Randomly Driven Systems
• Current inversion in a periodically driven two-dimensional Brownian ratchet
• Confined run and tumble particles with non-Markovian tumbling statistics
• Stochastic motion under nonlinear friction representing shear thinning
• Absence of jamming in ant trails: Feedback control of self propulsion and noise
• Close encounters of the sticky kind: Brownian motion at absorbing boundaries
• Magnetized granular particles running and tumbling on $S^1$
• Kinetic temperature and pressure of an active Tonks gas
• Dynamical density functional theory for the diffusion of injected Brownian particles
• Overload wave-memory induces amnesia of a self-propelled particle
• Pushing run-and-tumble particles through a rugged channel
• Optimal collision avoidance in swarms of active Brownian particles
• Generalized equipartition for nonlinear multiplicative Langevin dynamics: application to laser-cooled atoms
• Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
• The Influence of Particle Softness on Active Glassy Dynamics
• Dead or alive: Distinguishing active from passive particles using supervised learning
• Statistical Mechanics and Hydrodynamics of Self-Propelled Hard Spheres
• Chiral run-and-tumble walker: transport and optimizing search
• Large deviations in statistics of the local time and occupation time for a run and tumble particle
• From a microscopic solution to a continuum description of active particles with a recoil interaction in one dimension
• Data-driven physics-based modeling of pedestrian dynamics
• Crystallization and flow in active patch systems
• Optimal Noise in a Stochastic Model for Local Search
• Self-diffusive dynamics of active Brownian particles at moderate densities
• Breakdown of effective temperature, power law interactions and self-propulsion in a momentum conserving active fluid
• Drift induced by dissipation
• Mechanochemical Active Ratchet
• Glassy Dynamics of Brownian Particles with Velocity-Dependent Friction
• When does an active bath behave as an equilibrium one?
• Dumbbell micro-robot driven by flow oscillations
• Trapping of an active Brownian particle at a partially absorbing wall
• Active cluster crystals
• Stationary particle currents in sedimenting active matter wetting a wall
• Diffusion of single active-dipolar cubes in applied fields
• Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge
• Active particle in a harmonic trap driven by a resetting noise: an approach via Kesten variables
• Tradeoffs in concentration sensing in dynamic environments
• Colliding cells: when active segments behave as active particles
• Entropy and Thermodynamic second laws: New perspective - stochastic thermodynamics and fluctuation theorems
• Hydrodynamics of thermal active matter
• Active Polymer Behavior in Two Dimensions: A Comparative Analysis of Tangential and Push-Pull Models
• Effect of reorientation statistics on torque response of self propelled particles
• Causal non-locality can arise from constrained replication
• Distribution and pressure of active Lévy swimmers under confinement
• Synchronization and anchoring of two non-harmonic canonical-dissipative oscillators via Smorodinsky-Winternitz potentials
• Designing circle Swimmers: Principles and strategies
• Unusual eigenvalue spectrum and relaxation in the Lévy Ornstein-Uhlenbeck process
• Focusing by blocking: repeatedly generating central density peaks in self-propelled particle systems by exploiting diffusive processes
• Singular probability distribution of shot-noise driven systems
• High-statistics modeling of complex pedestrian avoidance scenarios
• Dynamics of Deformable Active Particles under External Flow Field
• Large deviations in statistics of the convex hull of passive and active particles: A theoretical study
• Premelting controlled active matter in ice
• Steady state correlations and induced trapping of an inertial AOUP particle
• Stochastic Evolving Differential Games Toward a Systems Theory of Behavioral Social Dynamics
• A trophallaxis inspired model for distributed transport between randomly interacting agents
• Statistics for an object actively driven by spontaneous symmetry breaking into reversible directions
• Anisotropic active Brownian particle with a fluctuating propulsion force
• Active gel segment behaving as an active particle
• Super-Gaussian, super-diffusive transport of multi-mode active matter
• Entropy production of active Brownian particles going from liquid to hexatic and solid phases
• Active-Passive Brownian Particle in Two Dimensions
• Localization due to topological stochastic disorder in active networks
• Topological transition in filamentous cyanobacteria: from motion to structure
• Hydrodynamic approximations for driven dense colloidal mixtures in narrow pores
• Optimal protocol for a collective flashing ratchet
• Active velocity processes with suprathermal stationary distributions and long-time tails
• Exact solutions for chemical concentration waves of self-propelling camphor particles racing on a ring: A novel potential dynamics perspective
• Leftward, Rightward and Complete Exit Time Distributions of Jump Processes
• Patchy landscapes promote stability of small groups
• Diffusion coefficient and power spectrum of active particles with a microscopically reversible mechanism of self-propelling
• Landau kinetic equation for dry aligning active models
• Cell Motion Alignment as Polarity Memory Effect
• Re-entrant bimodality in spheroidal chiral swimmers in shear flow
• A First-Principles Nonequilibrium Deterministic Equation of Motion of a Brownian Particle and Microscopic Viscous Drag
• Pattern in non-linearly coupled network of identical Thomas oscillators
• Active Jamming at Criticality
• Enhanced colloidal transport in twisted magnetic patterns
• Search and Return Model for Stochastic Path Integrators
• Inducing a bound state between active particles
• Mean Field Model for Collective Motion Bistability
• Mean first passage time of active Brownian particles in two dimensions
• Geometric and Nonequilibrium Criticality in Run-and-Tumble Particles with Competing Motility and Attraction
• Tagged particle behavior in a harmonic chain of direction reversing active Brownian particles
• Not-so-glass-like Caging and Fluctuations of an Active Matter Model
• Active Brownian particle under stochastic position and orientation resetting in a harmonic trap
• Fluctuation Theorems for Heat exchanges between passive and active baths
• Effect of initial conditions on current fluctuations in non-interacting active particles
• Linear non-equilibrium thermodynamics of human voluntary behavior: a canonical-dissipative Fokker-Planck equation approach involving potentials beyond the harmonic oscillator case
• Depinning transition of self-propelled particles
• Intrinsic Langevin dynamics of rigid inclusions on curved surfaces
• Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
• Macrotransport of active particles in periodic channels and fields: rectification and dispersion
• AMEP: The Active Matter Evaluation Package for Python
• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thinning Medium
• Shape-velocity correlation defines polarization in migrating cell simulations
• Deterministic active particles in the overactive limit
• Collectivity in diffusion of colloidal particles: from effective interactions to spatially correlated noise
• Three-dimensional chiral active Ornstein-Uhlenbeck model for helical motion of microorganisms
• Hydrodynamics without Boost-Invariance from Kinetic Theory: From Perfect Fluids to Active Flocks
• Chirality Reversing Active Brownian Motion in Two Dimensions
• Noisy pursuit by a self-steering active particle in confinement
• Cell migration: Beyond Brownian motion
• Optimal synchronisation to a limit cycle
• Liquid-Hexatic-Solid phases in active and passive Brownian particles determined by stochastic birth and death events
• Confined active particles with spatially dependent Lorentz force: an odd twist to the "best Fokker-Planck approximation"
• Kinetic theory of decentralized learning for smart active matter
• Phase behaviour of active particles in block copolymer melts
• Reinforcement Learning for Active Matter
• Tracer dynamics in an interacting active bath: fluctuations and energy partition
• Demixing of two species via reciprocally concentration-dependent diffusivity
• Thermodynamically consistent Langevin dynamics with spatially correlated noise predicts frictionless regime and transient attraction effect
• Dynamically stable optical trapping of thermophoretically active Janus colloids
• Biolocomotion and premelting in ice
• Effect of speed fluctuations on the collective dynamics of active disks
• Path-dependent Entropy Production
• Transition-path sampling for Run-and-Tumble particles
• White-noise fluctuation theorem for Langevin dynamics
• Correlations and transport in exclusion processes with general finite memory
• Thermodynamic nature of irreversibility in active matter
• Foundations of Stochastic Thermodynamics
• Nonlinear friction in underdamped anharmonic stochastic oscillators
• Enhancement of microbial motility due to speed-dependent nutrient absorption
• Irreversibility and Chaos in Active Particle Suspensions
• Experimental and numerical study of a second-order transition in the behavior of confined self-propelled particles
• Langevin equations and a geometric integration scheme for the overdamped limit of rotational Brownian motion of axisymmetric particles
• Phenomenological model of motility by spatiotemporal modulation of active interactions
• Most probable paths for active Ornstein-Uhlenbeck particles
• Patterns of active dipolar particles in external magnetic fields
• Chirality, confinement and dimensionality govern re-entrant transitions in active matter
• Long time behavior of run-and-tumble particles in two dimensions
• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thickening Medium
• Temperature overshooting in the Mpemba effect of frictional active matter
• Diffusion of an Active Particle Bound to a Generalized Elastic Model: Fractional Langevin Equation
• Elastic interactions compete with persistent cell motility to drive durotaxis
• Interstitial flows regulate collective cell migration heterogeneity through adhesion
• Active control of transport through nanopores
• Shearing effects on the phase coarsening of binary mixtures using the Active Model B
• Brownian-motion approach to statistical mechanics: Langevin equations, fluctuations, and timescales
• Spectral Design of Active Mechanical and Electrical Metamaterials
• Active Lévy Matter: Anomalous Diffusion, Hydrodynamics and Linear Stability
• Energy conversion in isothermal nonlinear irreversible processes - struggling for higher efficiency
• Analytic and Monte Carlo Approximations to the Distribution of the First Passage Time of the Drifted Diffusion with Stochastic Resetting and Mixed Boundary Conditions
• Modeling tropotaxis in ant colonies: recruitment and trail formation
• Collective dynamics of densely confined active polar disks with self- and mutual alignment
• Motility-induced crystallization and rotating crystallites
• Ergostatting and Thermostatting at a Fixed Point
• Mobility-induced phase separation in a binary mixture of active Brownian particles
• Dynamical metastability and re-entrant localization of trapped active elements with speed and orientation fluctuations
• Thermodynamic uncertainty relation for systems with active Ornstein-Uhlenbeck particles
• Theory of a triangular micro-robot
• Crossover dynamics and non-Gaussian fluctuations in inertial active chains
• Jerky chiral active particles
• Jamming in a lattice model of stochastically interacting agents with a field of view
• Models of Animal Behavior as Active Particle Systems with Nonreciprocal Interactions
• Active responsive colloids driven by intrinsic dichotomous noise
• Active stop and go motion: a strategy to improve spatial exploration and survival
• Inertia-chirality interplay in active Brownian motion: exact dynamics and phase maps
• The Memory Function of the Generalized Diffusion Equation of Active Motion
• Entropy production in active Rouse polymers
• Analysis of aligning active local searchers orbiting around their common home position
• Escape rate of an active Brownian particle in a rough potential
• Ratchet effect and jamming in dense mixtures of active and passive colloids in narrow pores
• Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient
• Two-Dimensional Active Brownian Particles Crossing a Parabolic Barrier: Transition-Path Times, Survival Probability, and First-Passage Time
• Two-Dimensional Active Brownian Particles Crossing a Parabolic Barrier: Finite Rectangular Domain with Absorbing Boundary Conditions
• Nonmonotonic diffusion in sheared active suspensions of squirmers
• Phase separation of self-propelled disks with ferromagnetic and nematic alignment
• Time-optimal synchronisation to self-sustained oscillations under bounded control
• Density-Independent transient caging in the high-density phase of motility-induced phase separation
• Modulating internal transition kinetics in responsive macromolecules by collective crowding
• Active Cahn-Hilliard theory for nonequilibrium phase separation: quantitative macroscopic predictions and a microscopic derivation
• Beyond the Markovian limit: Exact solutions for active motion in a power-law viscoelastic bath
• From Attraction to Repulsion: Emergent Interactions in Harmonically Coupled Active Binary System
• Universal Persistent Brownian Motions in Confluent Tissues
• Run-and-tumble particle with saturating rates
• Most Probable Energy Distributions of Particles with Hierarchial Structures
• Generalized squirming motion of a sphere
• Noncentral forces mediated between inclusions in a bath of active Brownian rods
• The anomalous tango of hemocyte migration in Drosophila melanogaster embryos
• Oscillatory active microrheology of active suspensions
• Thermotaxis of Janus Particles
• Active Caustics
• Phases and homogeneous ordered states in alignment-based self-propelled particle models
• How non-equilibrium correlations in active matter reveal the topological crossover in glasses
• Brownian motion in a growing population of ballistic particles
• Incorporating stochastic gene expression, signaling-mediated intercellular interactions, and regulated cell proliferation in models of coordinated tissue development
• Autonomous Brownian motor driven by nonadiabatic variation of internal parameters
• Non-reciprocal interactions between condensates in chemically active mixtures
• Inertial dynamics of an active Brownian particle
• Reduced description method in the kinetic theory of Brownian motion with active fluctuations
• Individual particle persistence antagonizes global ordering in populations of nematically-aligning self-propelled particles
• Modeling urbanization dynamics by labor force migration
• The Brownian Motion in an Ideal Quantum Qas