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Bimodality in the transverse fluctuations of a grafted semiflexible polymer and the diffusion-convection analogue: an effective-medium approach | P. Benetatos
; T. Munk
; E. Frey
; | Date: |
22 Dec 2004 | Journal: | Phys. Rev. E 72, 030801(R) (2005) | Subject: | Soft Condensed Matter; Statistical Mechanics; Biomolecules | cond-mat.soft cond-mat.stat-mech q-bio.BM | Affiliation: | Hahn-Meitner Institute, Department of Theoretical Physics, Berlin, Germany, Arnold Sommerfeld Center for Theoretical Physics, Department of Physics, Ludwig-Maximilians University, Munich, Germany | Abstract: | Recent Monte Carlo simulations of a grafted semiflexible polymer in 1+1 dimensions have revealed a pronounced bimodal structure in the probability distribution of the transverse (bending) fluctuations of the free end, when the total contour length is of the order of the persistence length [G. Lattanzi et al., Phys. Rev E 69, 021801 (2004)]. In this paper, we show that the emergence of bimodality is related to a similar behavior observed when a random walker is driven in the transverse direction by a certain type of shear flow. We adapt an effective-medium argument, which was first introduced in the context of the sheared random-walk problem [E. Ben-Naim et al., Phys. Rev. A 45, 7207 (1992)], in order to obtain a simple analytic approximation of the probability distribution of the free-end fluctuations. We show that this approximation captures the bimodality and most of the qualitative features of the free-end fluctuations. We also predict that relaxing the local inextensibility constraint of the wormlike chain could lead to the disappearence of bimodality. | Source: | arXiv, cond-mat/0501546 | Other source: | [GID 306984] pmid16241403 | Services: | Forum | Review | PDF | Favorites |
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