Regensburg 2004 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 51: Polymers and Colloids

DY 51.1: Vortrag

Freitag, 12. März 2004, 10:45–11:00, H3

Field-theoretic description of semiflexible polymers — •Semjon Stepanow — Universität Halle, Fachbereich Physik, 06099 Halle

In using the connection between the Kratky-Porod model of a semiflexible polymer and the quantum rigid rotator in an external homogeneous field, and its treatment in the framework of the quantum mechanical propagator method we have shown that most relations for flexible polymers can be generalized to semiflexible ones, if one replaces the Edwards-de Gennes propagator, 1/(k²/3+p), through the matrix P(k,p)=(I+ikDM)⁻¹D, where the infinite rank matrices D and M are related to the spectrum of the quantum rigid rotator.

Within this framework we have expressed the distribution function for a semiflexible polymer in half space in terms of the end-to-end distribution function of free semiflexible polymer. We present results of the study of the behaviour of a semiflexible polymer in the vicinity of a wall, and of adsorption of a semiflexible polymer in weak interface and surface potentials.