How entropy and hydrodynamics cooperate in rectifying particle transport

作者: S. Martens , G. Schmid , A.V. Straube , L. Schimansky-Geier , P. Hänggi

DOI: 10.1140/EPJST/E2013-02029-4

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摘要: Using the analytical Fick-Jacobs approximation formalism and extensive Brownian dynamics simulations we study particle transport through two-dimensional periodic channels with triangularly shaped walls. Directed motion is caused by interplay of constant bias acting along channel axis a pressure-driven flow. In particular, analyze mobility effective diffusion coefficient. The mechanisms entropic rectification revealed in broken spatial reflection symmetry presence hydrodynamically enforced trapping. Due to combined action forcing flow field, efficient drastically reduced diffusivity achieved.

参考文章(43)
PETER K. KITANIDIS, BRUCE B. DYKAAR, Stokes flow in a slowly varying two-dimensional periodic pore Transport in Porous Media. ,vol. 26, pp. 89- 98 ,(1997) , 10.1023/A:1006575028391
Roger G Harrison, Paul Todd, Scott R Rudge, Demetri P Petrides, Bioseparations Science and Engineering ,(2002)
Lutz Schimansky-Geier, Steffen Martens, Igor M. Sokolov, Impact of inertia on biased Brownian transport in confined geometries arXiv: Statistical Mechanics. ,(2012) , 10.1063/1.3696002
S. Martens, G. Schmid, L. Schimansky-Geier, P. Hänggi, Biased Brownian motion in extremely corrugated tubes. Chaos. ,vol. 21, pp. 047518- ,(2011) , 10.1063/1.3658621
Leonardo Dagdug, Alexander M. Berezhkovskii, Yurii A. Makhnovskii, Vladimir Yu. Zitserman, Sergey M. Bezrukov, Force-dependent mobility and entropic rectification in tubes of periodically varying geometry Journal of Chemical Physics. ,vol. 136, pp. 214110- 214110 ,(2012) , 10.1063/1.4726193
John Happel, Howard Brenner, Low Reynolds number hydrodynamics ,(1965)
Lukas Bogunovic, Ralf Eichhorn, Jan Regtmeier, Dario Anselmetti, Peter Reimann, Particle sorting by a structured microfluidic ratchet device with tunable selectivity: theory and experiment Soft Matter. ,vol. 8, pp. 3900- 3907 ,(2012) , 10.1039/C2SM07053G
Pavol Kalinay, Jerome K. Percus, Mapping of diffusion in a channel with soft walls Physical Review E. ,vol. 83, pp. 031109- ,(2011) , 10.1103/PHYSREVE.83.031109
I. D. Kosińska, I. Goychuk, M. Kostur, G. Schmid, P. Hänggi, Rectification in synthetic conical nanopores: a one-dimensional Poisson-Nernst-Planck model. Physical Review E. ,vol. 77, pp. 031131- 031131 ,(2008) , 10.1103/PHYSREVE.77.031131
Arthur V Straube, Small-scale particle advection, manipulation and mixing: beyond the hydrodynamic scale Journal of Physics: Condensed Matter. ,vol. 23, pp. 184122- ,(2011) , 10.1088/0953-8984/23/18/184122