Traveling and resting crystals in active systems

Abstract

A microscopic field theory for crystallization in active systems is proposed which unifies the phase-field-crystal model of freezing with the Toner-Tu theory for self-propelled particles. A wealth of different active crystalline states are predicted and characterized. In particular, for increasing strength of self-propulsion, a transition from a resting crystal to a traveling crystalline state is found where the particles migrate collectively while keeping their crystalline order. Our predictions, which are verifiable in experiments and in particle-resolved computer simulations, provide a starting point for the design of new active materials.

5 pages, 4 figures

References in corpus (9)

• Novel type of phase transition in a system of self-driven particles
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• Phase-field Crystals with Elastic Interactions
• Enhanced diffusion and ordering of self-propelled rods
• Hydrodynamics of self-propelled hard rods
• Derivation of the phase field crystal model for colloidal solidification
• Soft deformable self-propelled particles

Cited by in corpus (81)

• Tuned, driven, and active soft matter
• Effective Cahn-Hilliard equation for the phase separation of active Brownian particles
• Assembly and Phase Transitions within Colloidal Crystals
• Classical dynamical density functional theory: from fundamentals to applications
• Emergent collective phenomena in a mixture of hard shapes through active rotation
• Stabilization of active matter by flow-vortex lattices and defect ordering
• Perspective: Nonequilibrium glassy dynamics in dense systems of active particles
• Light Activated Self-Propelled Colloids
• Selective and Collective Actuation in Active Solids
• Thermodynamic phases in two-dimensional active matter
• Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
• Vortex arrays and meso-scale turbulence of self-propelled particles
• Dynamical Density Functional Theory For Microswimmers
• Active crystals and their stability
• Flowing crystal of self-propelled particles
• Active Colloidal Molecules
• Self-Aligning Polar Active Matter
• Active crystals on a sphere
• Dynamical Crystallites of Active Chiral Particles
• Numerical Bifurcation Analysis of Marine Ice Sheet Models
• Order-of-magnitude speedup for steady states and traveling waves via Stokes preconditioning in Channelflow and Openpipeflow
• Continuation for thin film hydrodynamics and related scalar problems
• Orientational order on surfaces - the coupling of topology, geometry, and dynamics
• Defect-Mediated Phase Transitions in Active Soft Matter
• Effect of self-propulsion on equilibrium clustering
• Active nonreciprocal attraction between motile particles in an elastic medium
• Resting and Traveling Localized States in an Active Phase-Field-Crystal Model
• Oriented Active Solids
• Superadiabatic forces in Brownian many-body dynamics
• A comparative study between two models of active cluster-crystals
• Unidirectional laning and migrating cluster crystals in confined self-propelled particle systems
• From a microscopic inertial active matter model to the Schrödinger equation
• A mesoscopic field theoretical approach for active systems
• Entropons as collective excitations in active solids
• Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
• Pattern formation in active particle systems due to competing alignment interactions
• Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
• Differently Shaped Hard Body Colloids in Confinement: From passive to active particles
• Dynamical density functional theory for circle swimmers
• Coarse-grained modeling of crystals by the amplitude expansion of the phase-field crystal model: an overview
• A Navier Stokes Phase Field Crystal Model for Colloidal Suspensions
• Emergent smectic order in simple active particle models
• Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
• Localized states in coupled Cahn-Hilliard equations
• Emergence and melting of active vortex crystals
• Dynamics of a linear magnetic "microswimmer molecule"
• Introduction to colloidal dispersions in external fields
• Two-dimensional localized states in an active phase-field-crystal model
• Jerky active matter: a phase field crystal model with translational and orientational memory
• Multi-species dynamical density functional theory for microswimmers: derivation, orientational ordering, trapping potentials, and shear cells
• Traveling band formation in feedback-driven colloids
• Extreme Spontaneous Deformations of Active Crystals
• A microscopic field theoretical approach for binary mixtures of active and passive particles
• Getting drowned in a swirl: deformable bead-spring model microswimmers in external flow fields
• Development and Analysis of a Block-Preconditioner for the Phase-Field Crystal Equation
• Perspective: New directions in dynamical density functional theory
• Flow of colloidal solids and fluids through constrictions: dynamical density functional theory versus simulation
• Localized states in passive and active phase-field-crystal models
• Stationary broken parity states in active matter models
• Nonreciprocity induces resonances in two-field Cahn-Hilliard model
• Coexistence of uniform and oscillatory states resulting from nonreciprocity and conservation laws
• Phase-field crystal description of active crystallites: elastic and inelastic collisions
• Time scales of inertial motion in the collective dynamics of underdamped active phase field crystal systems
• Osmosis with active solutes
• Bifurcations of front motion in passive and active Allen-Cahn-type equations
• Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
• Effect of the orientational relaxation on the collective motion of patterns formed by self-propelled particles
• Defect dynamics in active smectics induced by confining geometry and topology
• Two-dimensional colloidal mixtures in magnetic and gravitational fields
• Dynamical density functional theory for the diffusion of injected Brownian particles
• Active cluster crystals
• Inhomogeneous entropy production in active crystals with point imperfections
• Anomalous grain dynamics and grain locomotion of odd crystals
• Repulsive torques alone trigger crystallization of constant speed active particles
• Active smectics on a sphere
• Collective excitations in active solids featuring alignment interactions
• Motility-induced crystallization and rotating crystallites
• Reentrant transition to collective actuation in active solids with a polarizing field
• Collective actuation in active solids in the presence of a polarizing field: a systematic analysis of the dynamical regimes
• Dynamical field theories for biaxial liquid crystals
• Theory of Nonequilibrium Crystallization and the Phase Diagram of Active Brownian Spheres