Dresden 2009 – wissenschaftliches Programm
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CPP: Fachverband Chemische Physik und Polymerphysik
CPP 13: POSTERS Polymer Physics
CPP 13.33: Poster
Dienstag, 24. März 2009, 14:00–16:30, P3
Shapes of two dimensional star polymers — •Christian von Ferber1,2, Yates Monteith3, and Marvin Bishop3 — 1Applied Mathematics Research Centre, Coventry University, UK — 2Physikalisches Institut, Universität Freiburg — 3Department of Mathematics/Computer Science, Manhattan College, New York, USA
We explore the shapes of excluded volume, two dimensional star polymers by both renormalization group methods and Monte Carlo computer sim- ulation of a tangent hard disk model. The mean-square radius of gy- ration, the g-ratio and the asphericity of linear and star polymers are examined. The standard expansion for the g-ratio is modified to use the known exact value of the radius of gyration exponent ν=3/4 rather than only the first order є-expansion value. Good agreement is obtained with the current Monte Carlo Pivot algorithm results and previous simulations of other polymer models. Our approach also improves the predictions of the g-ratio in three dimensions significantly enhancing the accuracy of the renormalization group results for calculating shape properties.