Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 40: Posters II

DY 40.36: Poster

Donnerstag, 17. März 2011, 17:00–19:00, P3

A new technique for complete enumeration of self-avoiding walks (SAWs) on percolation clusters — •Niklas Fricke and Wolfhard Janke — Institut für Theoretische Physik, Universität Leipzig, Germany

The critical behavior of SAWs on disordered lattices has been studied extensively in recent decades. Of particular interest is the situation at the percolation threshold where the fractal dimension changes. Unfortunately, the strong disorder poses a problem for Monte Carlo methods. Straightforward enumeration may benefit from the reduction of the number of paths at criticality, but the exponential increase still prohibits the study of longer chains. Here, a more effective enumeration scheme is presented. Exploiting the structural properties of the critical percolation cluster, it essentially removes the exponential increase in complexity. This permits studying walks of several hundred steps (involving effective enumeration of over 2¹⁰⁰ chains) at or close to the percolation threshold.