Abstract

Transport of spherical Brownian particles of finite size possessing radiiR ≤ Rmax through narrow channels with varying cross-section width is considered. Applyingthe so-called Fick–Jacobs approximation, i.e. assuming fast equilibration in thedirection orthogonal to the channel axis, the 2D problem can be described interms of a 1D effective dynamics in which bottlenecks cause entropic barriers.Geometrical confinements result in entropic barriers which the particles have toovercome in order to proceed in the transport direction. The analytic findings forthe nonlinear mobility for the transport are compared with precise numericalsimulation results. The dependence of the nonlinear mobility on the particle sizeexhibits a striking resonance-like behavior as a function of the relative particle sizeρ = R/Rmax; this latter feature renders possible new effective particle separation scenarios.

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