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28 March 2024
 
  » arxiv » cond-mat/0501546

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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
AbstractRecent 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
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