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

TL;DR

This paper investigates how percolation transitions in fully frustrated models relate to the emergence of non-exponential relaxation dynamics, suggesting large-scale frustration effects influence system behavior.

Contribution

It provides numerical evidence linking percolation of Kasteleyn-Fortuin clusters to the onset of stretched exponential relaxation in frustrated systems.

Findings

Percolation transition coincides with non-exponential relaxation onset.

Frustration effects influence dynamics below the percolation threshold.

Results support the configuration space picture proposed by Campbell et al.

Abstract

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.