Percolation transition and the onset of non exponential relaxation in fully frustrated models

Details Percolation transition and the onset of non exponential relaxation in fully frustrated models Percolation transition and the onset of non exponential relaxation in fully frustrated models

1998-03-16

arxiv.org/abs/cond-mat/9803202v3

Phys. Rev. E 59, 60-66 (1999)

Physics

Condensed Matter

Statistical Mechanics

8 pages, 11 figures, revised version

Scientific paper

10.1103/PhysRevE.59.60

We numerically study the dynamical properties of fully frustrated models in 2 and 3 dimensions. The results obtained support the hypothesis that the percolation transition of the Kasteleyn-Fortuin clusters corresponds to the onset of stretched exponential autocorrelation functions in systems without disorder. This dynamical behavior may be due to the ``large scale'' effects of frustration, present below the percolation threshold. Moreover these results are consistent with the picture suggested by Campbell et al. in space of configurations.

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