Dynamics of relaxor ferroelectrics

Abstract

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.

15 pages, Revtex plus 5 eps figures

References in corpus (1)

• Coexistence of the Critical Slowing Down and Glassy Freezing in Relaxor Ferroelectrics

Cited by in corpus (12)

• Vogel-Fulcher freezing in relaxor ferroelectrics
• Interplay between static and dynamic polar correlations in relaxor Pb(Mg_{1/3}Nb_{2/3})O_{3}
• Asymmetric phase diagram of mixed $CuIn{P}_2(S_{x}S{e}_{1-x}{)}_6$ crystals
• A multicaloric material as a link between electrocaloric and magnetocaloric refrigeration
• Nonlinear dynamics of polar regions in paraelectric phase of (Ba1-x,Srx)TiO3 ceramics
• Condensation of the atomic relaxation vibrations in lead-magnesium-niobate at $T=T^{\ast }$
• Superconductivity in the vicinity of a ferroelectric quantum phase transition
• Spontaneous decay of a soft optical phonon in the relaxor ferroelectric PbMg${}_{1/3}$Nb${}_{2/3}$O${}_3$
• Phonon coupling to dynamic short-range polar order in a relaxor ferroelectric near the morphotropic phase boundary
• Fast broadband cluster spin-glass dynamics in PbFe${}_{1/2}$Nb${}_{1/2}$O${}_3$
• Modular Gene Dynamics and Network Theory at Mesoscopic Scale
• Magnetic skin effect in Pb(Fe${}_{1/2}$Nb${}_{1/2}$)O${}_3$