Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.57: Poster

Monday, March 7, 2005, 15:30–18:00, Poster TU D

Mode-coupling theory for a Lorentz gas with orientational degree of freedom — •Felix Höfling, Erwin Frey, and Thomas Franosch — Hahn-Meitner-Institut, Glienicker Str. 100, 14109 Berlin

In this poster, we address the question of how a semiflexible polymer moves in a network of semiflexible polymers. We concentrate on a simplified model that is based on the two-dimensional Lorentz gas: instead of a structureless particle a needle moves through a random but fixed array of spherical obstacles. This implies that the original Lorentz model is enriched not only by a orientational degree of freedom but also by an additional length scale. Therefore, the phase diagram of the system depends on two parameters, e.g. the obstacle density and the length of the needle. It shows a critical line which separates an ergodic regime from a non-ergodic one. Above this line, the needle is trapped in the medium. Using a mode-coupling approximation, we obtain closed equations for the relevant correlation functions of the system. The theory is solved numerically in order to yield the phase diagram, non-ergodicity parameters and diffusion coefficients.