Driven tracers in narrow channels

Abstract

Steady state properties of a driven tracer moving in a narrow two dimensional (2D) channel of quiescent medium are studied. The tracer drives the system out of equilibrium, perturbs the density and pressure fields, and gives the bath particles a nonzero average velocity, creating a current in the channel. Three models in which the confining effect of the channel is probed are analyzed and compared in this study: the first is the simple symmetric exclusion process (SSEP), for which the stationary density profile and the pressure on the walls in the frame of the tracer are computed. We show that the tracer acts like a dipolar source in an average velocity field. The spatial structure of this 2D strip is then simplified to a one dimensional SSEP, in which exchanges of position between the tracer and the bath particles are allowed. Using a combination of mean field theory and exact solution in the limit where no exchange is allowed, gives good predictions of the velocity of the tracer and the density field. Finally, we show that results obtained for the 1D SSEP with exchanges also apply to a gas of overdamped hard disks in a narrow channel. The correspondence between the parameters of the SSEP and of the gas of hard disks is systematic and follows from simple intuitive arguments. Our analytical results are checked numerically.

17 pages, 14 figures

References in corpus (27)

• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Kinetic Equations for Diffusion in the Presence of Entropic Barriers
• Entropic transport: Kinetics, scaling and control mechanisms
• Biased diffusion in confined media: Test of the Fick-Jacobs approximation and validity criteria
• Geometry-induced superdiffusion in driven crowded systems
• 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
• Diffusion and subdiffusion of interacting particles on comb-like structures
• Drag forces in classical fields
• Local Melting and Drag for a Particle Driven Through a Colloidal Crystal
• Colloids dragged through a polymer solution: experiment, theory and simulation
• A perturbative path integral study of active and passive tracer diffusion in fluctuating fields
• Nonlinear response and emerging nonequilibrium micro-structures for biased diffusion in confined crowding environments
• Diffusion of a sphere in a dilute solution of polymer coils
• Biased diffusion in a one-dimensional adsorbed monolayer
• Hard Disks in Narrow Channels
• Force-velocity relation and density profiles for biased diffusion in an adsorbed monolayer
• Generalized model for dynamic percolation
• Correlation and fluctuation in Random Average Process on an infinite line with a driven tracer
• Dynamics of a driven probe molecule in a liquid monolayer
• Long-range steady state density profiles induced by localized drive
• Exact gap statistics for the random average process on a ring with a tracer
• Fluctuations and correlations of a driven tracer in a hard-core lattice gas
• Structural Responses of Quasi-2D Colloid Fluids to Excitations Elicited by Nonequilibrium Perturbations
• Long-range correlations in a locally driven exclusion process
• Distribution of the position of a driven tracer in a hardcore lattice gas
• Soft disks in a narrow channel

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• Bodies in an Interacting Active Fluid: Far-Field Influence of a Single Body and Interaction Between Two Bodies
• Duality relations in single-file diffusion
• Driven Tracers in a One-Dimensional Periodic Hard-Core Lattice Gas
• Matrix product solution for a partially asymmetric 1D lattice gas with a free defect
• Integrability of two-species partially asymmetric exclusion processes
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• Negative response to an excessive bias by a mixed population of voters
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