Attraction and condensation of driven tracers in a narrow channel

Abstract

Emergent bath-mediated attraction and condensation arise when multiple particles are simultaneously driven through an equilibrated bath under geometric constraints. While such scenarios are observed in a variety of non-equilibrium phenomena, with an abundance of experimental and numerical evidence, little quantitative understanding of how these interactions arise is currently available. Here we approach the problem by studying the behavior of two driven "tracer" particles, propagating through a bath in a 1D lattice with excluded-volume interactions. We analytically explore the mechanism responsible for the tracers' emergent interactions and compute the resulting effective attractive potential. This mechanism is then numerically shown to extend to a realistic model of hard driven Brownian discs confined to a narrow 2D channel.

arXiv comment12 pages

References in corpus (19)

• Active and Nonlinear Microrheology in Dense Colloidal Suspensions
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Journey of an intruder through the fluidisation and jamming transitions of a dense granular media
• Motion of a driven tracer particle in a one-dimensional symmetric lattice gas
• Bias- and bath-mediated pairing of particles driven through a quiescent medium
• Colloids dragged through a polymer solution: experiment, theory and simulation
• Nonlinear microrheology of dense colloidal suspensions: a mode-coupling theory
• Diffusion of a sphere in a dilute solution of polymer coils
• Time-Dependent Fluctuations and Superdiffusivity in the Driven Lattice Lorentz Gas
• Biased diffusion in a one-dimensional adsorbed monolayer
• Correlation and fluctuation in Random Average Process on an infinite line with a driven tracer
• Exact correlations in a single file system with a driven tracer
• Dynamics of a driven probe molecule in a liquid monolayer
• Exact gap statistics for the random average process on a ring with a tracer
• Phase transition in a 1d driven tracer model
• Bath-Mediated Interactions between Driven Tracers in Dense Single-Files
• Driven Tracers in a One-Dimensional Periodic Hard-Core Lattice Gas
• Unbinding transition of probes in single-file systems
• Driven tracer dynamics in a one dimensional quiescent bath

Cited by in corpus (3)

• Current fluctuations in a partially asymmetric simple exclusion process with a defect particle
• Local resetting with geometric confinement
• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle