Vogel-Fulcher freezing in relaxor ferroelectrics

R Pirc, R Blinc - Physical Review B—Condensed Matter and Materials …, 2007 - APS
R Pirc, R Blinc
Physical Review B—Condensed Matter and Materials Physics, 2007APS
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 τ 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 τ is derived.
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 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 is derived.
American Physical Society
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