Dresden 2006 – wissenschaftliches Programm
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AKB: Biologische Physik
AKB 30: Poster Session I
AKB 30.34: Poster
Montag, 27. März 2006, 15:30–18:00, P1
Transport in Random Media with an Orientational Degree of Freedom — •Felix Höfling1, Thomas Franosch1,2, and Erwin Frey2 — 1Hahn-Meitner-Institut Berlin, Abteilung Theoretische Physik, Glienicker Str. 100, 14109 Berlin, Germany — 2Arnold Sommerfeld Center and CeNS, Department of Physics, Ludwig-Maximilians-Universität München, Theresienstr. 37, 80333 München, Germany
Towards an understanding of the complex dynamics of a semiflexible polymer in a biological polymer network, we concentrate on a minimal model that is based on the two-dimensional Lorentz model: instead of a structureless tracer particle a needle moves through a random array of obstacles. Therewith, the original model is enriched by an orientational degree of freedom. The phase diagram of the system is now governed by two control parameters: the obstacle density and the ratio between needle length and obstacle diameter. Above a critical line, the tracer is expected to be always trapped by the obstacles. This line should coincide with the percolation threshold of the phase space.
An interesting case is given for point-like obstacles. Then, the medium lacks a percolation transition, and the strong influence of the percolation scenario is stripped off the dynamics. Thus, new insight into different mechanisms for slow dynamics can be gained.
We present first results from Molecular Dynamics simulations for the mean-squared displacements and orientational correlation functions. These data are supplemented by an Boltzmann-Enskog theory.