Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 41: Poster - Pattern/ Nonlinear Dyn./ Fluids/ Granular/ Critical Phen.

DY 41.36: Poster

Donnerstag, 3. April 2014, 17:00–19:00, P3

Loop Percolation with non standard critical behavior — •Matthias J. F. Hoffmann, Susan Nachtrab, Gerd E. Schröder-Turk, and Klaus Mecke — Friedrich-Alexander-Universität Erlangen-Nürnberg

Loop percolation refers to a wide class of percolation models, that change the coordination of randomly selected vertices, rather than deleting bonds or sites. Bond and site percolation are included as special cases. Starting from a regular fully connected network each node is split with probability p. By introducing asymmetry into the splitting process the percolation threshold and the percolation critical exponents can be changed. The two dimensional square lattice and the three dimensional diamond lattice are shown as examples for this model class, each exhibiting different critical behavior to the stardard universality class of bond/site percolation.