Impact of inertia on biased Brownian transport in confined geometries

Abstract

We consider the impact of inertia on biased Brownian motion of point particles in a two-dimensional channel with sinusoidally varying width. If the time scales of the problem separate, the adiabatic elimination of the transverse degrees of freedom leads to an effective description for the motion along the channel given by the potential of mean force. The possibility of such description is intimately connected with equipartition. Numerical simulations show that in the presence of external bias the equipartition may break down leading to non-monotonic dependence of mobility on external force and several other interesting effects.

4 pages, 4 figures

References in corpus (4)

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• Biased diffusion in confined media: Test of the Fick-Jacobs approximation and validity criteria
• Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation
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• The effect of perception anisotropy on particle systems describing pedestrian flows in corridors
• Rectified motion in an asymmetric channel: the role of hydrodynamic interactions with walls
• Phase space reduction of the one-dimensional Fokker-Planck (Kramers) equation