64 citations · 411 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
Active Brownian particles with velocity-alignment and active fluctuations
Robert Grossmann, Lutz Schimansky-Geier, Pawel Romanczuk
We consider a model of active Brownian particles with velocity-alignment in two spatial dimensions with passive and active fluctuations. Hereby, active fluctuations refers to purel…
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…
Self-organized escape of oscillator chains in nonlinear potentials
D. Hennig, S. Fugmann, L. Schimansky-Geier +1
We present the noise free escape of a chain of linearly interacting units from a metastable state over a cubic on-site potential barrier. The underlying dynamics is conservative an…
First Passage Time Densities in Non-Markovian Models with Subthreshold Oscillations
T. Verechtchaguina, I. M. Sokolov, L. Schimansky-Geier
Motivated by the dynamics of resonant neurons we consider a differentiable, non-Markovian random process and particularly the time after which it will reach a certain level…