Universal Long Ranged Correlations in Driven Binary Mixtures

Abstract

When two populations of "particles" move in opposite directions, like oppositely charged colloids under an electric field or intersecting flows of pedestrians, they can move collectively, forming lanes along their direction of motion. The nature of this "laning transition" is still being debated and, in particular, the pair correlation functions, which are the key observables to quantify this phenomenon, have not been characterized yet. Here, we determine the correlations using an analytical approach based on a linearization of the stochastic equations for the density fields, which is valid for dense systems of soft particles. We find that the correlations decay algebraically along the direction of motion, and have a self-similar exponential profile in the transverse direction. Brownian dynamics simulations confirm our theoretical predictions and show that they also hold beyond the validity range of our analytical approach, pointing to a universal behavior.

17 pages, 9 figures, accepted for publication in Phys. Rev. Lett., one-column version with section headers

References in corpus (13)

• Freezing by Heating in a Driven Mesoscopic System
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Traffic Instabilities in Self-Organized Pedestrian Crowds
• Dynamics of lane formation in driven binary complex plasmas
• Active and Nonlinear Microrheology in Dense Colloidal Suspensions
• Reentrance effect in the lane formation of driven colloids
• Journey of an intruder through the fluidisation and jamming transitions of a dense granular media
• Generalized Langevin equations for a driven tracer in dense soft colloids: construction and applications
• Diagonal patterns and chevron effect in intersecting traffic flows
• On the microscopic origin and macroscopic implications of lane formation in mixtures of oppositely-driven particles
• Stokes formula and density perturbances for driven tracer diffusion in an adsorbed monolayer
• Active microrheology of colloidal suspensions: simulation and microstructural theory
• Mean-field microrheology of a very soft colloidal suspension: inertia induces shear-thickening

Cited by in corpus (29)

• Tracer diffusion in crowded narrow channels. Topical review
• Active Rheology in Odd Viscosity Systems
• Laning and Clustering Transitions in Driven Binary Active Matter Systems
• Long-range fluctuation-induced forces in driven electrolytes
• Activity-induced phase transition in a quantum many-body system
• Pair correlation of dilute Active Brownian Particles: from low activity dipolar correction to high activity algebraic depletion wings
• Transient fluctuation-induced forces in driven electrolytes after an electric field quench
• Diffusion of a tracer in a dense mixture of soft particles connected to different thermostats
• Transverse density fluctuations around the ground state distribution of counterions near one charged plate: stochastic density functional view
• Bath-Mediated Interactions between Driven Tracers in Dense Single-Files
• Disordering, Clustering, and Laning Transitions in Particle Systems with Dispersion in the Magnus Term
• Emergent Synchronization and Flocking in Purely Repulsive Self-Navigating Particles
• Stochastic dynamics and thermodynamics around a metastable state based on the linear Dean-Kawasaki equation
• Perpendicular and Parallel Phase Separation in Two Species Driven Diffusive Lattice Gases
• Stochastic Density Functional Theory on Lane Formation in Electric-Field-Driven Ionic Mixtures: Flow-Kernel-Based Formulation
• Effects of Collectively Induced Scattering of Gas Stream by Impurity Ensembles: Shock-Wave Enhancement and Disorder-Stimulated Nonlinear Screening
• Correlations and forces in sheared fluids with or without quenching
• Aversion of face-to-face situation of pedestrians eases crowding condition
• Microscopic Insights into Dynamical Heterogeneity in a Lane-forming Liquid
• Competition between lanes and transient jammed clusters in driven binary mixtures
• Reversal of tracer advection and Hall drift in an interacting chiral fluid
• Algebraic depletion interactions in two-temperature mixtures
• The effect of driving on model C interfaces
• Macroscopic charge segregation in driven polyelectrolyte solutions
• Flowing emulsions through disorder: Critical depinning and smectic rivers
• Exact large-scale correlations in diffusive systems with general interactions: explicit characterisation without the Dean--Kawasaki equation
• Macroscopic fluctuation theory of interacting Brownian particles
• Dynamics of soft interacting particles on a comb
• Reentrant Melting of Lanes of Rough Circular Discs