Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term

Abstract

We numerically examine a two-dimensional system of repulsively interacting particles with dynamics that are governed by both a damping term and a Magnus term. The magnitude of the Magnus term has one value for half of the particles and a different value for the other half of the particles. In the absence of a driving force, the particles form a triangular lattice, while when a driving force is applied, we find that there is a critical drive above which a Magnus-induced disordering transition can occur even if the difference in the Magnus term between the two particle species is as small as one percent. The transition arises due to the different Hall angles of the two species, which causes their motion to decouple at the critical drive. At higher drives, the disordered state can undergo both species and density phase separation into a density modulated stripe that is oriented perpendicular to the driving direction. We observe several additional phases that occur as a function of drive and Magnus force disparity, including a variety of density modulated diagonal laned phases. In general we find a much richer variety of states compared to systems of oppositely driven overdamped Yukawa particles. We discuss the implications of our work for skyrmion systems, where we predict that even for small skyrmion dispersities, a drive-induced disordering transition can occur along with clustering phases and pattern forming states.

14 pages, 24 figures

References in corpus (19)

• Skyrmion Hall Effect Revealed by Direct Time-Resolved X-Ray Microscopy
• Theory of current-driven motion of Skyrmions and spirals in helical magnets
• Dynamics of lane formation in driven binary complex plasmas
• Quantized Transport for a Skyrmion Moving on a Two-Dimensional Periodic Substrate
• Trochoidal motion and pair generation in skyrmion and antiskyrmion dynamics under spin-orbit torques
• Purely hydrodynamic ordering of rotating disks at a finite Reynolds number
• Skyrmions and antiskyrmions in quasi-two-dimensional magnets
• Transitions among crystal, glass, and liquid in a binary mixture with changing particle size ratio and temperature
• Universal Long Ranged Correlations in Driven Binary Mixtures
• The effect of the Magnus force on skyrmion relaxation dynamics
• Laning and Clustering Transitions in Driven Binary Active Matter Systems
• Lane formation in a driven attractive fluid
• Pinning, Ordering, and Dynamics of Vortices in Conformal Crystal and Gradient Pinning Arrays
• Shapiro Spikes and Negative Mobility for Skyrmion Motion on Quasi-One-Dimensional Periodic Substrates
• Temperature effects on drift of suspended single-domain particles induced by the Magnus force
• Lane formation dynamics of oppositely self-driven binary particles: Effects of density and finite system size
• Disordering Transitions and Peak Effect in Polydisperse Particle Systems
• Exactly solvable model for drift of suspended ferromagnetic particles induced by the Magnus force
• Drift of suspended ferromagnetic particles due to the Magnus effect

Cited by in corpus (6)

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• Nonlinear Transport, Dynamic Ordering, and Clustering for Driven Skyrmions on Random Pinning
• Traveling band formation in feedback-driven colloids
• Dynamics and Nonmonotonic Drag for Individually Driven Skyrmions
• Late stages in the ordering of magnetic skyrmion lattices
• Dynamics Phases, Stratification, Laning, and Pattern Formation for Driven Bidisperse Disk Systems in the Presence of Quenched Disorder