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000011458 084__ $$2WoS$$aPhysics, Fluids & Plasmas
000011458 084__ $$2WoS$$aPhysics, Mathematical
000011458 1001_ $$0P:(DE-Juel1)VDB69128$$aBurkhardt, T.W.$$b0$$uFZJ
000011458 245__ $$aFluctuations of a long, semiflexible polymer in a narrow channel
000011458 260__ $$aCollege Park, Md.$$bAPS$$c2010
000011458 264_1 $$2Crossref$$3online$$bAmerican Physical Society (APS)$$c2010-10-01
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000011458 440_0 $$04924$$aPhysical Review E$$v82$$x1539-3755$$y4
000011458 500__ $$aT. W. B. thanks Theo Odijk for correspondence, Thomas Pfohl for sending the experimental data considered in Sec. IV, Dieter Forster for a helpful discussion, and Robert Intemann for help with MATHEMATICA. Y.Y. acknowledges financial support from the International Helmholtz Research School "BioSoft."
000011458 520__ $$aWe consider an inextensible, semiflexible polymer or wormlike chain, with persistence length P and contour length L, fluctuating in a cylindrical channel of diameter D. In the regime D << P << L, corresponding to a long, tightly confined polymer, the average length of the channel < R-parallel to > occupied by the polymer and the mean-square deviation from the average vary as < R-parallel to > = [1-alpha(o)(D/P)(2/3)]L and <Delta R-parallel to(2)> = beta(o)(D-2/P)L, respectively, where alpha(o) and beta(o) are dimensionless amplitudes. In earlier work we determined alpha(o) and the analogous amplitude alpha(square) for a channel with a rectangular cross section from simulations of very long chains. In this paper, we estimate beta(o) and beta(square) from the simulations. The estimates are compared with exact analytical results for a semiflexible polymer confined in the transverse direction by a parabolic potential instead of a channel and with a recent experiment. For the parabolic confining potential we also obtain a simple analytic result for the distribution of R-parallel to or radial distribution function, which is asymptotically exact for large L and has the skewed shape seen experimentally.
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000011458 7001_ $$0P:(DE-Juel1)VDB37724$$aYang, Y.$$b1$$uFZJ
000011458 7001_ $$0P:(DE-Juel1)130665$$aGompper, G.$$b2$$uFZJ
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000011458 8567_ $$uhttp://dx.doi.org/10.1103/PhysRevE.82.041801
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000011458 9132_ $$0G:(DE-HGF)POF3-551$$1G:(DE-HGF)POF3-550$$2G:(DE-HGF)POF3-500$$aDE-HGF$$bKey Technologies$$lBioSoft  Fundamentals for future Technologies in the fields of Soft Matter and Life Sciences$$vFunctional Macromolecules and Complexes$$x0
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