113 citations · 379 across the 11 of their papers we have counts for
6 papers · 1 filter
Giant enhancement of hydrodynamically enforced entropic trapping in thin channels
S. Martens, A. V. Straube, G. Schmid +2
Using our generalized Fick-Jacobs approach [Martens et al., PRL 110, 010601 (2013); Martens et al., Eur. Phys. J. Spec. Topics 222, 2453-2463 (2013)] and extensive Brownian dynamic…
How entropy and hydrodynamics cooperate in rectifying particle transport
S. Martens, G. Schmid, A. V. Straube +2
Using the analytical Fick-Jacobs approximation formalism and extensive Brownian dynamics simulations we study particle transport through two-dimensional periodic channels with tria…
Hydrodynamically enforced entropic trapping of Brownian particles
S. Martens, A. V. Straube, G. Schmid +2
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) par…
Impact of inertia on biased Brownian transport in confined geometries
Steffen Martens, Igor M. Sokolov, Lutz Schimansky-Geier
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 separ…
Biased Brownian motion in extreme corrugated tubes
Steffen Martens, Gerhard Schmid, Lutz Schimansky-Geier +1
Biased Brownian motion of point-size particles in a three-dimensional tube with smoothly varying cross-section is investigated. In the fashion of our recent work [Martens et al., P…
Entropic particle transport: higher order corrections to the Fick-Jacobs diffusion equation
Steffen Martens, Gerhard Schmid, Lutz Schimansky-Geier +1
Transport of point-size Brownian particles under the influence of a constant and uniform force field through a three-dimensional channel with smoothly varying periodic cross-sectio…