Run-and-tumble in a crowded environment: persistent exclusion process for swimmers

Abstract

The effect of crowding on the run-and-tumble dynamics of swimmers such as bacteria is studied using a discrete lattice model of mutually excluding particles that move with constant velocity along a direction that is randomized at a rate $\alpha$. In stationary state, the system is found to break into dense clusters in which particles are trapped or stopped from moving. The characteristic size of these clusters predominantly scales as ${\alpha }^{-0.5}$ both in 1D and 2D. For a range of densities, due to cooperative effects, the stopping time scales as ${\mathcal{T}}_{1d}^{0.85}$ and as ${\mathcal{T}}_{2d}^{0.8}$, where ${\mathcal{T}}_d$ is the diffusive time associated with the motion of cluster boundaries. Our findings might be helpful in understanding the early stages of biofilm formation.

7 pages, 5 figures, accepted in PRE

References in corpus (5)

• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Non-equilibrium clustering of self-propelled rods
• Microscopic theory for the phase separation of self-propelled repulsive disks
• Traffic jams, gliders, and bands in the quest for collective motion
• The totally asymmetric simple exclusion process on networks

Cited by in corpus (78)

• Motility-Induced Phase Separation
• Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter
• Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
• Active colloidal suspensions: Clustering and phase behavior
• Time-(ir)reversibility in active matter: from micro to macro
• Clustering and heterogeneous dynamics in a kinetic Monte-Carlo model of self-propelled hard disks
• Jamming and Attraction of Interacting Run-and-Tumble Random Walkers
• Run-and-Tumble Dynamics of Self-Propelled Particles in Confinement
• Activity induced synchronization: From Mutual Flocking to Chiral Self-Sorting
• Exact Hydrodynamic Description of Active Lattice Gases
• Critical motility-induced phase separation belongs to the Ising universality class
• Phase separation and large deviations of lattice active matter
• Motility-induced phase separation of active particles in the presence of velocity alignment
• Effective dynamics of microorganisms that interact with their own trail
• Clustering and phase behaviour of attractive active particles with hydrodynamics
• Exact Solution of Two Interacting Run-and-Tumble Random Walkers with Finite Tumble Duration
• Exact spectral solution of two interacting run-and-tumble particles on a ring lattice
• Run-and-tumble bacteria slowly approaching the diffusive regime
• Synchronization in dynamical networks of locally coupled self-propelled oscillators
• Disorder-Induced Long-Ranged Correlations in Scalar Active Matter
• Universal scaling in active single-file dynamics
• Wetting Transitions Displayed by Persistent Active Particles
• Stochastic Work Extraction in a colloidal heat engine in presence of colored noise
• Run-and-pause dynamics of cytoskeletal motor proteins
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Nonequilibrium polarity-induced mechanism for chemotaxis: emergent Galilean symmetry and exact scaling exponents
• Active Brownian Particles Escaping a Channel in Single File
• Disordered boundaries destroy bulk phase separation in scalar active matter
• Coarsening and clustering in run-and-tumble dynamics with short-range exclusion
• Hard core run and tumble particles on a one dimensional lattice
• Tracer dynamics in one dimensional gases of active or passive particles
• Non-Gaussian noise without memory in active matter
• An Introduction to Motility-Induced Phase Separation
• Rheology of active fluids
• Transient anomalous diffusion in run-and-tumble dynamics
• Activity-induced phase transition in a quantum many-body system
• Arrested States in Persistent Active Matter: Gelation without Attraction
• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Universality of active wetting transitions
• Bose-Einstein Condensation in Scalar Active Matter with Diffusivity Edge
• Scaling of cluster growth for coagulating active particles
• Wetting dynamics by mixtures of fast and slow self-propelled particles
• Non-Gaussian anomalous dynamics in systems of interacting run-and-tumble particles
• Enhanced diffusion of a tracer particle in a lattice model of a crowded active system
• Attractor-driven matter
• Confinement-induced alternating interactions between inclusions in an active fluid
• Nonexistence of motility induced phase separation transition in one dimension
• Interacting, running and tumbling: the active Dyson Brownian motion
• Hydrodynamics, superfluidity and giant number fluctuations in a model of self-propelled particles
• Time-dependent properties of run-and-tumble particles. II.: Current fluctuations
• Modelling persistence of motion in a crowded environment: the diffusive limit of excluding velocity-jump processes
• Motility-induced clustering of active particles under soft confinement
• Jamming of multiple persistent random walkers in arbitrary spatial dimension
• Bose-Einstein-like Condensation due to Diffusivity Edge under Periodic Confinement
• Tuning attraction and repulsion between active particles through persistence
• Magnetized granular particles running and tumbling on $S^1$
• Single-File Diffusion of Active Brownian Particles
• Persistent exclusion processes: inertia, drift, mixing and correlation
• Transport in exclusion processes with one-step memory: density dependence and optimal acceleration
• Kinetic temperature and pressure of an active Tonks gas
• From a microscopic solution to a continuum description of active particles with a recoil interaction in one dimension
• Time-dependent properties of run-and-tumble particles: Density relaxation
• How motility affects Ising transitions
• Anisotropic run-and-tumble-turn dynamics
• Transport and fluctuations in mass aggregation processes: mobility driven clustering
• Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge
• Geometric and Nonequilibrium Criticality in Run-and-Tumble Particles with Competing Motility and Attraction
• Site-percolation transition of run-and-tumble particles
• Counter-flow induced clustering: Exact results
• Correlations and transport in exclusion processes with general finite memory
• Non-equilibrium phase transitions in active rank diffusions
• Tracer dynamics in the active random average process
• Bubble formation in active binary mixture model
• Run-and-tumble particles on a line with a fertile site
• 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
• Persistent exclusion process with time-periodic drive
• Zero-one-only process: a correlated random walk with a stochastic ratchet