Seminars & Lectures
* TITLE | Entropic Particle Transport | ||||||
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* 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) |