Dynamics of relaxor ferroelectrics

Details Dynamics of relaxor ferroelectrics Dynamics of relaxor ferroelectrics

2000-10-02

arxiv.org/abs/cond-mat/0010022v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

15 pages, Revtex plus 5 eps figures

Scientific paper

10.1103/PhysRevB.63.054203

We study a dynamic model of relaxor ferroelectrics based on the spherical random-bond---random-field model and the Langevin equations of motion. The solution to these equations is obtained in the long-time limit where the system reaches an equilibrium state in the presence of random local electric fields. The complex dynamic linear and third-order nonlinear susceptibilities $\chi_1(\omega)$ and $\chi_3(\omega)$, respectively, are calculated as functions of frequency and temperature. In analogy with the static case, the dynamic model predicts a narrow frequency dependent peak in $\chi_3(T,\omega)$, which mimics a transition into a glass-like state.

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