Hydrodynamically enforced entropic trapping of Brownian particles

Abstract

We study the transport of Brownian particles through a corrugated channel caused by a force field containing curl-free (scalar potential) and divergence-free (vector potential) parts. We develop a generalized Fick-Jacobs approach leading to an effective one-dimensional description involving the potential of mean force. As an application, the interplay of a pressure-driven flow and an oppositely oriented constant bias is considered. We show that for certain parameters, the particle diffusion is significantly suppressed via the property of hyrodynamically enforced entropic particle trapping.

5 pages, 4 figures, in press with Physical Review Letters

References in corpus (12)

• Induced-charge Electrokinetic Phenomena: Theory and Microfluidic Applications
• Kinetic Equations for Diffusion in the Presence of Entropic Barriers
• Entropic transport: Kinetics, scaling and control mechanisms
• Entropic Stochastic Resonance
• Entropic Splitter for Particle Separation
• Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation
• Entropic particle transport in periodic channels
• Biased Brownian motion in extreme corrugated tubes
• Gaussian noise and time-reversal symmetry in non-equilibrium Langevin models
• Accumulating Particles at the Boundaries of a Laminar Flow
• Impact of inertia on biased Brownian transport in confined geometries
• Particle entrapment as a feedback effect

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