Berlin 2005 – scientific programme
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AKB: Biologische Physik
AKB 100: Poster Session I
AKB 100.29: Poster
Saturday, March 5, 2005, 16:45–18:45, Poster TU D
An Analytical Approach to the Free-End Fluctuations of a Grafted Semiflexible Polymer — •Panayotis Benetatos1 and Erwin Frey1,2 — 1Hahn-Meitner-Institut, Abteilung Theoretische Physik, Glienicker Straße 100, D-14109 Berlin, Germany — 2Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
Monte Carlo simulations have revealed a pronounced double-peak structure in the reduced probability distribution of the transverse fluctuations of the free end of a grafted semiflexible polymer with intermediate stiffness in two dimensions (Lattanzi et al., Phys. Rev E 69, 021801 (2004)). We show that this departure from unimodality is related to a similar behavior observed when a random walker is driven by a certain type of shear flow in the transverse dimension (ben-Avraham et al., Phys. Rev. A 45, 2315 (1992)). We explain it by adapting an effective-medium argument first used in the context of the diffusion-convection system. We also use this approach to obtain an approximate analytical expression for the complete probability distribution of the free-end fluctuations.