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* TITLE Entropic Particle Transport
* SPEAKERS
Name Affiliation E-mail
Prof. Dr. Peter Hänggi Universität Augsburg sec(at)apctp.org
* HOST(Applicant)
Name Affiliation E-mail
-
* DATE / TIME 2009-06-09, 3:00 p.m.
* PLACE APCTP, Pohang, Korea
* ABSTRACT
We demonstrate that transport in the presence of entropic barriers exhibits
peculiar characteristics which makes it distinctly different from that
occurring through energetic barriers. The constrained dynamics yields a
scaling regime for the particle current and the diffusion coefficient in
terms of the ratio between the work done to the particles and available
thermal energy [1, 2]. The problem is analyzed under the perspective of
the Fick-Jacobs equation which accounts for the effect of the lateral
confinement by introducing an entropic barrier in a one dimensional
diffusion. The validity of this approximation, being based on the assumption
of an instantaneous equilibration of the particle distribution
in the cross-section of the structure, is analyzed by comparing the different
time scales that characterize the problem. A validity criterion is
established in terms of the shape of the structure and of the applied
force [2, 3]. Moreover, we investigate the role of entropic barriers for the
phenomenon of \"Stochastic Resonance\" [4]. This Entropic Stochastic Resonance (ESR),
characteristic of small-scale systems, constitutes a useful mechanism for manipulation and control of single molecules and nanodevices.


[1] D. Reguera, G. Schmid, P. S. Burada, J. M. Rubi, P. Reimann, and
P. Hanggi, Entropic transport: Kinetics, scaling and control mechanisms
Phys. Rev. Lett. 96, 130603 (2006)
[2] P. S. Burada, G. Schmid, P. Talkner, P. Hänggi, D. Reguera, and J. M. Rubi,
Entropic particle transport in periodic channels
Biosystems 93, 16–22 (2008)
[3] P. S. Burada, P. Hänggi, F. Marchesoni, G. Schmid, and P. Talkner,
Diffusion in confined geometries, ChemPhysChem 10: 45–54 (2009) (Review)
[4] P. S. Burada, G. Schmid, D. Reguera, M. H. Vainstein, J. M. Rubi, and P. Hänggi
Entropic stochastic resonance
Phys. Rev. Lett. 101, 130602 (2008)
 
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