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In the regime $D\\ll P\\ll L$, corresponding to a long, tightly confined polymer, the average length of the channel $<R_\\parallel>$ occupied by the polymer and the mean square deviation from the average vary as $<R_\\parallel>=[1-\\alpha_\\circ(D/P)^{2/3}]L$ and $<\\Delta R_\\parallel^{\\thinspace 2}\\thinspace>=\\beta_\\circ(D^2/P)L$, respectively, where $\\alpha_\\circ$ and $\\beta_\\circ$ are dimensionless amplitudes. 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Burkhardt, Yingzi Yang","submitted_at":"2010-08-09T21:02:41Z","abstract_excerpt":"We consider an inextensible, semiflexible polymer or worm-like chain, with persistence length $P$ and contour length $L$, fluctuating in a cylindrical channel of diameter $D$. In the regime $D\\ll P\\ll L$, corresponding to a long, tightly confined polymer, the average length of the channel $<R_\\parallel>$ occupied by the polymer and the mean square deviation from the average vary as $<R_\\parallel>=[1-\\alpha_\\circ(D/P)^{2/3}]L$ and $<\\Delta R_\\parallel^{\\thinspace 2}\\thinspace>=\\beta_\\circ(D^2/P)L$, respectively, where $\\alpha_\\circ$ and $\\beta_\\circ$ are dimensionless amplitudes. 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