Dresden 2017 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 26: Posters - Statistical Physics, Stochastic Thermodynamics
DY 26.11: Poster
Tuesday, March 21, 2017, 18:15–21:00, P3
Percolation transition of Fortuin-Kasteleyn clusters for the three-dimensional ± J random-bond-Ising model — •Hauke Fajen and Alexander K. Hartmann — Institute of Physics, University of Oldenburg
We investigated the behavior of the Wolff algorithm for the ± J Random-Bond-Ising model on a three-dimensional lattice. We studied the percolation transition of the Fortuin-Kasteleyn clusters. Our motivation is that the Wolff algorithm works best when the percolation transition temperature Tp and the phase transition temperatureTc coincide. Fortuin-Kasteleyn clusters are constructed be randomly drawing subsets of bonds from all satisfied bonds of a given spin configuration. Each satisfied bond is considered with a possibility of 1−e−2J/T. Therefore we studied the percolation temperature Tp as a function of the fraction p of antiferromagnetic (−J) bonds. To measure the percolation probability we used the Swendsen-Wang algorithm to construct the Fortuin-Kasteleyn clusters. It’s already known that the Wolff algorithm doesn’t work efficiently for p=0.5. Our results show that Tp > Tc for most values of p, only near p=0 Tp is equal Tc. We also studied an effective cluster size near pc (ferromagnet-spin-glass transition) in the spin-glass phase. Nevertheless, close to Tc the effective cluster sizes remain small, showing that the Wolff algorithm is not efficient for all values p>pc.