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Communication: Driven Brownian transport in eccentric septate channels
7.See, e.g., B. Hille, Ion Channels of Excitable Membranes (Sinauer, Sunderland, 2001);
7.J. Kärger and D. M. Ruthven, Diffusion in Zeolites and Other Microporous Solids (Wiley, New York, 1992).
16. H. Risken, The Fokker-Planck Equation (Springer, Berlin, 1984).
20. D. R. Cox, Renewal Theory (Methuen & Co., London, 1962).
21. S. Redner, A Guide to First-Passage Processes (Cambridge University Press, Cambridge, England, 2001), Sec. 2.2.
23. B.Y. Zhu, F. Marchesoni, and F. Nori, Physica E (Amsterdam) 18, 318 (2003).
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In eccentric septate channels the pores connecting adjacent compartments are shifted off-axis, either periodically or randomly, so that straight trajectories parallel to the axis are not allowed. Driven transport of a Brownian particle in such a channel is characterized by a strong suppression of the current and its dispersion. For large driving forces, both quantities approach an asymptotic value, which can be analytically approximated in terms of the stationary distribution of the particle exit times out of a single channel compartment.
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