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Gerhard Schmid

 

Biased diffusion in confined geometries: Entropic Transport and Entropic Stochastic Resonance.

Gerhard Schmid
(Augsburg)

Friday, 10 September , 13.00, W2.19

Transport of biased Brownian particles in symmetric tubes in two and three dimensions with periodically varying cross-section is studied. Bottlenecks which produce entropic barriers hinder the motion of the particles and exhibit peculiar characteristics in the transport behavior which are different from that taking place in systems with energy barriers [1]. The constrained dynamics is responsible for an existence of a scaling regime for the particle current and the diffusion in terms of ratio between the work done to the particles and thermal energy.

We demonstrate the existence of stochastic resonance (SR) in confined systems arising from entropy variations associated to the presence of irregular boundaries [2]. When the motion of a Brownian particle is constrained to a region with uneven boundaries, the presence of a periodic input may give rise to a peak in the spectral amplification factor and therefore to the appearance of the SR phenomenon.

[1] P. S. Burada, P. Hanggi, F. Marchesoni, G. Schmid, and P. Talkner, Diffusion in confined geometries, ChemPhysChem 10, 45 (2009).

[2] P. S. Burada, G. Schmid, D. Reguera, J. M. Rubi, and P. Hanggi, Entropic stochastic resonance: the constructive role of the unevenness Eur. Phys. J. B 69, 11 (2009).

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