Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: a review

Abstract

We review the depinning and nonequilibrium phases of collectively interacting particle systems driven over random or periodic substrates. This type of system is relevant to vortices in type-II superconductors, sliding charge density waves, electron crystals, colloids, stripe and pattern forming systems, and skyrmions, and could also have connections to jamming, glassy behaviors, and active matter. These systems are ideal for exploring the broader issues of characterizing transient and steady state nonequilibrium flow phases as well as nonequilibrium phase transitions between distinct dynamical phases, analogous to phase transitions between different equilibrium states. We discuss elastic and plastic depinning on random substrates and the different types of nonequilibrium phases that produce features in the velocity-force curves, fluctuation spectra, scaling relations, and local or global particle ordering. We describe how these quantities change depending on dimension, anisotropy, disorder strength, and the presence of hysteresis. Within the moving phase we discuss transitions from a liquid-like state to dynamically ordered moving crystal, smectic, or nematic states. Systems with periodic or quasiperiodic substrates can have multiple nonequilibrium transitions in the moving state between chaotic and coherent phases, and can exhibit hysteresis. We also discuss systems with competing repulsive and attractive interactions, which undergo dynamical transitions into stripes and other complex morphologies when driven over random substrates. Throughout this work we highlight open issues and future directions such as absorbing phase transitions, nonequilibrium work relations, inertia, the role of non-dissipative dynamics such as Magnus effects, and how these results could be extended to the broader issues of plasticity in crystals, amorphous solids, and jamming phenomena.

64 pages, 67 figures

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Cited by in corpus (138)

• Statics and Dynamics of Skyrmions Interacting with Pinning: A Review
• Distortion and destruction of colloidal flocks in disordered environments
• Dynamic Phases of Active Matter Systems with Quenched Disorder
• Static and dynamic properties of bimerons in a frustrated ferromagnetic monolayer
• Current-Induced Helicity Reversal of a Single Skyrmionic Bubble Chain in a Nanostructured Frustrated Magnet
• Topology-Dependent Brownian Gyromotion of a Single Skyrmion
• Universal Lower Limit on Vortex Creep in Superconductors
• Glassy dynamics of landscape evolution
• Skyrmion pinning energetics in thin film systems
• Propagating bands of plastic deformation in a metal alloy as critical avalanches
• Fluctuations and Noise Signatures of Driven Magnetic Skyrmions
• Thermal Creep and the Skyrmion Hall Angle in Driven Skyrmion Crystals
• Theory of magnetic skyrmion glass
• Clogging and Depinning of Ballistic Active Matter Systems in Disordered Media
• Collective Directional Locking of Colloidal Monolayers on a Periodic Substrate
• Nonequilibrium Phases and Segregation for Skyrmions on Periodic Pinning Arrays
• Avalanche Dynamics for Active Matter in Heterogeneous Media
• Active Brownian and inertial particles in disordered environments: short-time expansion of the mean-square displacement
• Reversibility, Pattern Formation and Edge Transport in Active Chiral and Passive Disk Mixtures
• Perspective on Reversible to Irreversible Transitions in Periodic Driven Many Body Systems and Future Directions For Classical and Quantum Systems
• Current-induced dynamics of skyrmion tubes in synthetic antiferromagnetic multilayers
• Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
• Recent developments in the field of the metal-insulator transition in two dimensions
• Skyrmion Ratchet in Funnel Geometries
• Darcy law for yield stress fluid
• Clogging and Jamming Transitions in Periodic Obstacle Arrays
• Probing the Pinning Strength of Magnetic Vortex Cores with sub-nm Resolution
• Avalanches and Criticality in Driven Magnetic Skyrmions
• The quest for high critical current in applied high-temperature superconductors
• Nonlinear Transport, Dynamic Ordering, and Clustering for Driven Skyrmions on Random Pinning
• Transient magnetic domain wall AC dynamics by means of MOKE microscopy
• Directional Locking Effects for Active Matter Particles Coupled to a Periodic Substrate
• Dynamics of Magnus Dominated Particle Clusters, Collisions, Pinning and Ratchets
• Scale-free channeling patterns near the onset of erosion of sheared granular beds
• Active Matter Commensuration and Frustration Effects on Periodic Substrates
• Active Brownian Particles in Random and Porous Environments
• Reversible to Irreversible Transitions in Periodically Driven Skyrmion Systems
• Intrinsic vortex pinning in superconducting quasicrystals
• Depinning dynamics of two-dimensional dusty plasmas on a one-dimensional periodic substrate
• Swarmalators on a ring with uncorrelated pinning
• Hyperuniformity in the Manna Model, Conserved Directed Percolation and Depinning
• Kibble-Zurek Mechanism for Nonequilibrium Phase Transitions in Driven Systems with Quenched Disorder
• Height of a faceted macrostep for sticky steps in a step-faceting zone
• Extended quantum anomalous Hall effect in moiré structures: phase transitions and transport
• Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
• Critical force in active microrheology
• Active microrheology of a bulk metallic glass
• Metastability and hysteretic vortex pinning near the order-disorder transition in NbSe${}_2$: An interplay between plastic and elastic energy barriers?
• Nonlinear Dynamics, Avalanches and Noise for Driven Wigner Crystals
• Shapiro Steps and Nonlinear Skyrmion Hall Angles For dc and ac Driven Skyrmions on a Two Dimensional Periodic Substrate
• Controlled Fluidization, Mobility and Clogging in Obstacle Arrays Using Periodic Perturbations
• Clogging, Dynamics and Reentrant Fluid for Active Matter on Periodic Substrates
• The Quantum Hall Effect in the Absence of Disorder
• Spontaneous Skyrmion Conformal Lattice and Transverse Motion During dc and ac Compression
• Vortex matching at 6 T in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin films by imprinting a 20 nm-periodic pinning array with a focused helium ion beam
• Continuous and Discontinuous Transitions in the Depinning of Two-Dimensional Dusty Plasmas on a One-Dimensional Periodic Substrate
• Shear Banding, Intermittency, Jamming and Dynamic Phases for Skyrmions in Inhomogeneous Pinning Arrays
• Individual Vortex Manipulation and Stick-Slip Motion in Periodic Pinning Arrays
• Finite-temperature phase diagram and critical point of the Aubry pinned-sliding transition in a 2D monolayer
• Neural force functional for non-equilibrium many-body colloidal systems
• Dynamics and Nonmonotonic Drag for Individually Driven Skyrmions
• Dynamic Phases, Clustering, and Lane Formation for Driven Disk Systems in the Presence of Quenched Disorder
• Realizing Quantitative Quasiparticle Modeling of Skyrmion Dynamics in Arbitrary Potentials
• Active Matter Shepherding and Clustering in Inhomogeneous Environments
• Moiré-pattern evolution couples rotational and translational friction at crystalline interfaces
• Directional Locking in a 2D Yukawa Solid Modulated by a 2D Periodic Substrate
• Dynamic ordering transitions in charged solid
• Simultaneous and independent topological control of identical microparticles in non-periodic energy landscapes
• Phonon spectra of a two-dimensional solid dusty plasma modified by two-dimensional periodic substrates
• Ordered Bose Glass of Vortices in Superconducting YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films with a Periodic Pin Lattice Created by Focused Helium Ion Irradiation
• Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term
• Oscillation-like diffusion of two-dimensional liquid dusty plasmas on one-dimensional periodic substrates with varied widths
• Characterizing Different Motility Induced Regimes in Active Matter with Machine Learning and Noise
• Clogging and Transport of Driven Particles in Asymmetric Funnel Arrays
• Pattern Formation and Transport for Externally Driven Active Matter on Periodic Substrates
• Directional Locking and the Influence of Obstacle Density on Skyrmion Dynamics in Triangular and Honeycomb Arrays
• Directional Clogging and Phase Separation for Disk Flow Through Periodic and Diluted Obstacle Arrays
• Detecting Depinning and Nonequilibrium Transitions with Unsupervised Machine Learning
• Collective Dynamics and Defect Generation for Wigner Crystal Ratchets
• On dynamical ordering in a 2D electron crystal confined in a narrow channel geometry
• Reversible to Irreversible Transitions for Cyclically Driven Disks on Periodic Obstacle Arrays
• Pinning effects in a two-dimensional cluster glass
• Future Directions for Active Matter on Ordered Substrates
• Cost of diffusion: nonlinearity and giant fluctuations
• Noise and Thermal Depinning of Wigner Crystals
• Drive Dependence of the Hall Angle for a Sliding Wigner Crystal in a Magnetic Field
• Superlubric-pinned transition of a two-dimensional solid dusty plasma under a periodic triangular substrate
• Jamming, Fragility and Pinning Phenomena in Superconducting Vortex Systems
• Vortex dynamics in a compact Kardar-Parisi-Zhang system
• Chiral Edge Currents for ac Driven Skyrmions in Confined Pinning Geometries
• Melting, Reentrant Ordering and Peak Effect for Wigner Crystals with Quenched and Thermal Disorder
• Colloidal transport in twisted lattices of optical tweezers
• Ac dynamic reorganization and non-equilibrium phase transition in driven vortex matter
• The Kibble-Zurek Scenario and Coarsening Across Nonequilibrium Phase Transitions in Driven Vortices and Skyrmions
• Transition path time over a barrier of a colloidal particle in a viscoelastic bath
• Peak Effect, Melting, and Transport in Skyrmion Crystals
• Nonlinear-Cost Random Walk: exact statistics of the distance covered for fixed budget
• Random Matrix Ensembles in Hyperchaotic Classical Dissipative Dynamical Systems
• Rotational transition, domain formation, dislocations and defects in vortex systems with combined six- and 12-fold anisotropic interactions
• Complexity of Shapiro steps
• Noise spectra in the reversible-irreversible transition in amorphous solids under oscillatory driving
• Ratchet Effects in Active Matter Systems
• Angle-dependent Magnetoresistance of an Ordered Bose Glass of Vortices in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films with a Periodic Pinning~Lattice
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• Thermal Activation Signatures of the Anderson Insulator and the Wigner Solid forming near $\nu =1$
• Fluctuations and Pinning for Individually Manipulated Skyrmions
• Sliding Dynamics of Current-Driven Skyrmion Crystal and Helix in Chiral Magnets
• Critical Scaling and Aging near the Flux Line Depinning Transition
• Magnetically-controlled Vortex Dynamics in a Ferromagnetic Superconductor
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• Negative differential resistance state in the free-flux-flow regime of driven vortices in a single crystal of 2H-NbS${}_2$
• Active Rheology and Anti-Commensuration Effects For Driven Probe Particles on Two Dimensional Periodic Pinning Substrates
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• Brownian dynamics study of driven partially pinned solid in the presence of square array of pinning centers: Enhanced pinning close to the melting transition
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• Flowing emulsions through disorder: Critical depinning and smectic rivers
• Condensate Formation in a Chiral Lattice Gas
• Transient vortex dynamics and evolution of Bose metal from a 2D superconductor on MoS${}_2$
• Dynamic Phases and Reentrant Hall Effect for Vortices and Skyrmions on Periodic Pinning Arrays
• Pattern Formation and Flocking for Particles Near the Jamming Transition on Resource Gradient Substrates
• Vortex Guidance and Transport in Channeled Pinning Arrays
• Driven Superconducting Vortex Dynamics in Systems with Two-Fold Anisotropy in the Presence of Pinning
• Tuning the Stability of a Model Quasicrystal and its Approximants with a Periodic Substrate
• Crossover from Jamming to Clogging Behaviors in Heterogeneous Environments
• Dynamic Phases and Combing Effects for Elongated Particles Moving Over Quenched Disorder
• Effects of frequency mixing on Shapiro-step formations in sliding charge-density-waves
• Vortex Shear Banding Transitions in Superconductors with Inhomogeneous Pinning Arrays
• Dimensional reduction in driven disordered systems
• Imaging the effect of drive on the low-field vortex melting phenomenon in Ba0.6K0.4Fe2As2 single crystal
• Driven particle dispersion in narrow disordered racetracks
• Spin current generation driven by skyrmion dynamics under magnetic anisotropy and polarized microwaves
• Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid
• Depinning dynamics of confined colloidal dispersions under oscillatory shear
• Dynamics Phases, Stratification, Laning, and Pattern Formation for Driven Bidisperse Disk Systems in the Presence of Quenched Disorder
• Structure-dynamics relationship in ratcheted colloids: Resonance melting, dislocations, and defect clusters
• Vortices in a Ginzburg Landau Theory of Superconductors with Nematic Order