Brownian transport in narrow channels subject to transverse periodic force

Brownian transport in two-dimensional narrow channels is extremely sensitive to the spatial modulation of the channel walls. The dependence of transport quantifiers, like the mobility and the diffusivity, on the longitudinal drive strongly varies with the sharpness of the channel corrugation. The two opposite regimes of smooth and septate channels are analyzed in the presence of a transverse periodic bias. Transverse periodic forces of appropriate frequencies enhance the particle mobility across sharp pores more effectively than across smooth bottlenecks.