Berlin 2015 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

DY: Fachverband Dynamik und Statistische Physik

DY 33: Critical Phenomena and Phase Transitions

DY 33.2: Talk

Wednesday, March 18, 2015, 15:15–15:30, BH-N 334

True asymptotics of self-avoiding walks on 3D percolation clusters. — •Niklas Fricke and Wolfhard Janke — Institut für Theoretische Physik and Centre for Theoretical Sciences (NTZ), Universität Leipzig, Postfach 100920, 04009 Leipzig, Germany

We study self-avoiding walks on three-dimensional critical percolation clusters using a new exact enumeration method. It overcomes the exponential increase in computation time by exploiting the clusters’ fractal nature. We enumerate walks of over 10⁴ steps, far more than has ever been possible. We found the scaling exponent ν for the end-to-end distance to be smaller than previously thought and the same on backbones and full clusters. Furthermore, we find strong evidence against the widely assumed scaling law for the average number of conformations and propose an alternative, which perfectly fits our data.

N. Fricke and W. Janke, arXiv:1410.5960, to appear in PRL (in print).