Traveling band formation in feedback-driven colloids
arXiv:1904.08373 · doi:10.1103/PhysRevE.100.022609
Abstract
Using simulation and theory we study the dynamics of a colloidal suspension in two dimensions subject to a time-delayed repulsive feedback that depends on the positions of the colloidal particles. The colloidal particles experience an additional potential that is a superposition of repulsive potential energies centered around the positions of all the particles a delay time ago. Here we show that such a feedback leads to self-organization of the particles into traveling bands. The width of the bands and their propagation speed can be tuned by the delay time and the range of the imposed repulsive potential. The emerging traveling band behavior is observed in Brownian dynamics computer simulations as well as microscopic dynamic density functional theory (DDFT). Traveling band formation also persists in systems of finite size leading, in the case of circularly confined systems, to rotating traveling waves.
arXiv comment15 pages, 13 figures; Results unchanged, Section IV has been modified to connect the theory to previous one-particle studies. The final version of the article can be found at: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.022609 ©2019 American Physical Society
References in corpus (61)
- Novel type of phase transition in a system of self-driven particles
- Active Particles in Complex and Crowded Environments
- Self-motile colloidal particles: from directed propulsion to random walk
- The World of the Complex Ginzburg-Landau Equation
- Motility-Induced Phase Separation
- Physics of Microswimmers - Single Particle Motion and Collective Behavior
- Collective motion of self-propelled particles interacting without cohesion
- Dynamic Density Functional Theory of Fluids
- Confinement Stabilizes a Bacterial Suspension into a Spiral Vortex
- Dynamical density functional theory and its application to spinodal decomposition
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
- 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
- Chemotaxis and auto-chemotaxis of self-propelling artificial droplet swimmers
- Clusters, asters and collective oscillations in chemotactic colloids
- Control of unstable steady states by time-delayed feedback methods
- Clustering and pattern formation in chemorepulsive active colloids
- Thermodynamic phases in two-dimensional active matter
- Active Particles Bound by Information Flows
- Traveling and resting crystals in active systems
- Spinodal decomposition to a lamellar phase: effects of hydrodynamic flow
- Phoretic Interactions Generically Induce Dynamic Clusters and Wave Patterns in Active Colloids
- Realization of a feedback controlled flashing ratchet
- Dynamical Density Functional Theory For Microswimmers
- Swim pressure on walls with curves and corners
- Colloidal crystal growth at externally imposed nucleation clusters
- Colloids in light fields: particle dynamics in random and periodic energy landscapes
- Geometry-driven collective ordering of bacterial vortices
- Dynamical density functional theory for colloidal particles with arbitrary shape
- Structural Transitions, Melting, and Intermediate Phases for Stripe and Clump Forming Systems
- Pattern Formation in Chemically Interacting Active Rotors with Self-Propulsion
- Chemotactic predator-prey dynamics
- Virtual potentials for feedback traps
- Phototactic Robot Tunable by Sensorial Delays
- Oscillatory driven colloidal binary mixtures: axial segregation versus laning
- Dynamics of a microorganism moving by chemotaxis in its own secretion
- Heat flow due to time-delayed feedback
- Resting and Traveling Localized States in an Active Phase-Field-Crystal Model
- Pattern formation in colloidal mixtures under external driving fields
- Instabilities of localized structures in dissipative systems with delayed feedback
- Laning and Clustering Transitions in Driven Binary Active Matter Systems
- Experimental creation and characterization of random potential energy landscapes exploiting speckle patterns
- Two-dimensional colloidal fluids exhibiting pattern formation
- Delay-induced transport in a rocking ratchet under feedback control
- Instabilities and turbulence-like dynamics in an oppositely driven binary particle mixture
- Flow of colloidal solids and fluids through constrictions: dynamical density functional theory versus simulation
- Feedback-controlled transport in an interacting colloidal system
- Force-linearization closure for non-Markovian Langevin systems with time delay
- Periodic structures in binary mixtures enforced by Janus particles
- Active fluids at circular boundaries: Swim pressure and anomalous droplet ripening
- Field-Embedded Particles Driven by Active Flips
- Pattern formation in polymerising actin flocks: spirals, spots and waves without nonlinear chemistry
- Enhancement of mobility in an interacting colloidal system under feedback control
- Asymmetric pattern formation in microswimmer suspensions induced by orienting fields
- Anticipated synchronization in coupled complex Ginzburg-Landau systems
- Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term
- Delay-Induced Depinning of Localized Structures in a spatially inhomogeneous Swift-Hohenberg Model
- Translationally invariant colloidal crystal templates
- Stripes, Clusters, and Nonequilibrium Ordering for Bidisperse Colloids with Repulsive Interactions
- Reversible feedback confinement
- Memory Driven Pattern Formation
- Time-delayed feedback control of shear-driven micellar systems
Cited by in corpus (10)
- Classical dynamical density functional theory: from fundamentals to applications
- Spontaneous velocity alignment of Brownian particles with feedback-induced propulsion
- Defect dynamics in active smectics induced by confining geometry and topology
- Persistent motion of a Brownian particle subject to repulsive feedback with time delay
- Membranes for spontaneous separation of pedestrian counter flows
- Non-reciprocal hidden degrees of freedom: A unifying perspective on memory, feedback, and activity
- Cybloids Creation and Control of Cybernetic Colloids
- Active Phases for Particles on Resource Landscapes
- Heat production in a stochastic system with nonlinear time-delayed feedback
- Active smectics on a sphere