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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 8: POSTER: Polymer Physics
CPP 8.1: Poster
Monday, March 26, 2007, 16:00–18:00, Poster B
A Monte Carlo study of a chain in a periodic potential — •Mircea Galiceanu1, Jens-Uwe Sommer2, and Alexander Blumen1 — 1Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany — 2Leibniz-Institut für Polymerforschung Dresden e. V., Hohe Strasse 6, D-01069 Dresden, Germany
We present Monte Carlo simulations of polymer chains of length N in a periodic array of traps. The static quantities, like the effective segment length and the end-to-end distance are controlled by the scaling variable E=δ ξ, where δ is the strength of adsorption and ξ is the distance between two neighboring traps. We study chains with N=500 and 1000 monomers and different values of δ and ξ. That the static quantities depend only on E=δ ξ is in very good agreement with former results[1]. The dynamic quantities which we study are the mean square displacement of all monomers, the mean square displacement of the center of mass and of the middle monomers relative to the center of mass. Using these results we are able to obtain the relaxation time as a function of the scaling variable E, and can show that at low values of E a chain in a periodic environment obeys a Rouse-like dynamics.
[1] J.-U. Sommer and A. Blumen, J. Chem. Phys. 105, 6008, (1996)