Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Critical Phenomena and Phase Transitions

DY 8.2: Vortrag

Montag, 31. März 2014, 15:15–15:30, ZEU 118

Fragmentation of Potts clusters — •Eren M. Elçi and Martin Weigel — Applied Mathematics Research Centre, Coventry University, Coventry, CV1 5FB, England

The random cluster model is at the heart of a range of models in statistical physics, including uniform spanning trees, percolation and the Potts model. Many geometric and fractal aspects have been analysed, in particular at criticality, and a related zoo of exponents is known exactly or at least accessible by numerical methods. The fragmentation of clusters is a process of general importance for the modeling of a wide range of phenomena, including polymer fragmentation and processes in porous media. We use extensive numerical simulations employing a recent efficient implementation of Sweeny’s single-bond algorithm to study the distribution of cluster sizes as well as the density of fragmenting (or bridge) bonds relevant to the fragmentation properties. The latter quantity is of additional importance for algorithmic aspects such as the observed critical speeding up of the single-bond dynamics.