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@ARTICLE{Burkhardt:11458,
      author       = {Burkhardt, T.W. and Yang, Y. and Gompper, G.},
      title        = {{F}luctuations of a long, semiflexible polymer in a narrow
                      channel},
      journal      = {Physical review / E},
      volume       = {82},
      number       = {4},
      issn         = {1539-3755},
      address      = {College Park, Md.},
      publisher    = {APS},
      reportid     = {PreJuSER-11458},
      pages        = {041801},
      year         = {2010},
      note         = {T. 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."},
      abstract     = {We 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.},
      keywords     = {J (WoSType)},
      cin          = {IFF-2 / IAS-2 / JARA-HPC},
      ddc          = {530},
      cid          = {I:(DE-Juel1)VDB782 / I:(DE-Juel1)IAS-2-20090406 /
                      $I:(DE-82)080012_20140620$},
      pnm          = {BioSoft: Makromolekulare Systeme und biologische
                      Informationsverarbeitung},
      pid          = {G:(DE-Juel1)FUEK505},
      shelfmark    = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000282360900002},
      doi          = {10.1103/PhysRevE.82.041801},
      url          = {https://juser.fz-juelich.de/record/11458},
}