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- Tori, Matthew Hoehler, +5 authors Steffen Martens

Among the most fundamental constraints governing the distribution of microorganisms in the environment is the availability of chemical energy at biologically useful levels. To assess the minimum freeâ€¦ (More)

- Jakob LÃ¶ber, Steffen Martens, Harald Engel
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2014

We present a method to control the two-dimensional shape of traveling wave solutions to reaction-diffusion systems, such as, interfaces and excitation pulses. Control signals that realize a pregivenâ€¦ (More)

- Steffen Martens, G. Schmid, Lutz Schimansky-Geier, Peter HÃ¤nggi
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

Transport of point-size Brownian particles under the influence of a constant and uniform force field through a planar three-dimensional channel with smoothly varying, axis-symmetric periodic sideâ€¦ (More)

- Steffen Martens, Arthur V. Straube, G. Schmid, Lutz Schimansky-Geier, Peter HÃ¤nggi
- Physical review letters
- 2013

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) parts. We develop aâ€¦ (More)

- Pulak Kumar Ghosh, Peter HÃ¤nggi, +4 authors G. Schmid
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

We numerically investigate the transport of a suspended overdamped Brownian particle which is driven through a two-dimensional rectangular array of circular obstacles with finite radius. Two limitingâ€¦ (More)

- Steffen Martens, G. Schmid, Lutz Schimansky-Geier, Peter HÃ¤nggi
- Chaos
- 2011

Biased Brownian motion of point-size particles in a three-dimensional tube with varying cross-section is investigated. In the fashion of our recent work, Martens et al. [Phys. Rev. E 83, 051135â€¦ (More)

Using the analytical Fick-Jacobs approximation formalism and extensive Brownian dynamics simulations we study particle transport through two-dimensional periodic channels with triangularly shapedâ€¦ (More)

- Steffen Martens, I. M. Sokolov, Lutz Schimansky-Geier
- The Journal of chemical physics
- 2012

We consider the impact of inertia on biased Brownian motion of point-size particles in a two-dimensional channel with sinusoidally varying width. If the time scales of the problem separate, theâ€¦ (More)

- A Ziepke, Steffen Martens, Harald Engel
- The Journal of chemical physics
- 2016

We investigate wave propagation in rotationally symmetric tubes with a periodic spatial modulation of cross section. Using an asymptotic perturbation analysis, the governing quasi-two-dimensionalâ€¦ (More)

- Steffen Martens, Dirk Hennig, Simon Fugmann, Lutz Schimansky-Geier
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2008

We study the Langevin dynamics of a two-dimensional discrete oscillator chain absorbed on a periodic substrate and subjected to an external localized point force. Going beyond the commonly usedâ€¦ (More)