Regensburg 2013 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.47: Poster

Thursday, March 14, 2013, 17:00–19:00, Poster C

Self-avoiding walks on critical percolation clusters in two to seven dimensions — •Niklas Fricke and Wolfhard Janke — Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ),
Universität Leipzig, Postfach 100920, D–04009 Leipzig, Germany

Self-avoiding walks (SAWs) on critical percolation clusters are a basic model for polymers in crowded disordered media. The fractal nature of the substrate gives rise to interesting scaling behavior, which, despite considerable efforts in the past, is still poorly understood . We used a recently developed exact enumeration technique [1], which can handle walks of several thousand steps. This enabled us to determine the SAW scaling exponents very accurately. Varying the lattice dimension to the upper critical limit (D=6) allows us to closely check the predictions from field theory and to investigate the influence of the various fractal dimensions of the critical cluster.
[1] N. Fricke and W. Janke, Europhys. Lett. 99, 56005 (2012).