This title appears in the Scientific Report :
2010
Please use the identifier:
http://dx.doi.org/10.1103/PhysRevE.82.041801 in citations.
Please use the identifier: http://hdl.handle.net/2128/9310 in citations.
Fluctuations of a long, semiflexible polymer in a narrow channel
Fluctuations of a long, semiflexible polymer in a narrow channel
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-...
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Personal Name(s): | Burkhardt, T.W. |
---|---|
Yang, Y. / Gompper, G. | |
Contributing Institute: |
Theorie der Weichen Materie und Biophysik; IFF-2 JARA - HPC; JARA-HPC Theorie der Weichen Materie und Biophysik; IAS-2 |
Published in: | Physical Review E Physical review / E, 82 82 (2010 2010) 4 4, S. 041801 041801 |
Imprint: |
College Park, Md.
APS
2010
2010-10-01 2010-10-01 |
Physical Description: |
041801 |
DOI: |
10.1103/PhysRevE.82.041801 |
Document Type: |
Journal Article |
Research Program: |
BioSoft: Makromolekulare Systeme und biologische Informationsverarbeitung |
Series Title: |
Physical Review E
82 |
Subject (ZB): | |
Link: |
Get full text OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://hdl.handle.net/2128/9310 in citations.
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. |