Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-12-18
J.Stat.Mech.0904:P04013,2009
Physics
Condensed Matter
Statistical Mechanics
18 pages, 10 figures. v2: published version
Scientific paper
10.1088/1742-5468/2009/04/P04013
We present measurements of the fractal dimensions associated to the geometrical clusters for Z_4 and Z_5 spin models. We also attempted to measure similar fractal dimensions for the generalised Fortuyin Kastelyn (FK) clusters in these models but we discovered that these clusters do not percolate at the critical point of the model under consideration. These results clearly mark a difference in the behaviour of these non local objects compared to the Ising model or the 3-state Potts model which corresponds to the simplest cases of Z_N spin models with N=2 and N=3 respectively. We compare these fractal dimensions with the ones obtained for SLE interfaces.
Picco Marco
Santachiara Raoul
Sicilia Alberto
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