Vogel-Fulcher freezing in relaxor ferroelectrics

Details Vogel-Fulcher freezing in relaxor ferroelectrics Vogel-Fulcher freezing in relaxor ferroelectrics

2007-05-25

arxiv.org/abs/0705.3732v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevB.76.020101

A physical mechanism for the freezing of polar nanoregions (PNRs) in relaxor ferroelectrics is presented. Assuming that the activation energy for the reorientation of a cluster of PNRs scales with the mean volume of the cluster, the characteristic relaxation time $\tau$ is found to diverge as the cluster volume reaches the percolation limit. Applying the mean field theory of continuum percolation, the familiar Vogel-Fulcher equation for the temperature dependence of $\tau$ is derived.

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