Vogel-Fulcher freezing in relaxor ferroelectrics

Abstract

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.

References in corpus (4)

• Direct observation of the formation of polar nanoregions in Pb(Mg${}_{1/3}$Nb${}_{2/3}$)O${}_3$ using neutron pair distribution function analysis
• Dynamics of relaxor ferroelectrics
• Theory of continuum percolation I. General formalism
• Theory of continuum percolation II. Mean field theory

Cited by in corpus (26)

• The origin of the Debye relaxation in liquid water and fitting the high frequency excess response
• Two refreshing views of Fluctuation Theorems through Kinematics Elements and Exponential Martingale
• Anisotropic Local Correlations and Dynamics in a Relaxor Ferroelectric
• Spatially Resolved Mapping of Local Polarization Dynamics in an Ergodic Phase of Ferroelectric Relaxor
• 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
• Polar nanoregions in water - a study of the dielectric properties of TIP4P/2005, TIP4P/2005f and TTM3F
• Insight into dielectric response of ferroelectric relaxors by statistical modeling
• Origin of relaxor behavior in barium-titanate based lead-free perovskites
• Preparation, structural, dielectric and magnetic properties of LaFeO3-PbTiO3 solid solutions
• Coexistence of local structural heterogeneities and long-range ferroelectricity in Pb-free (1-x)Ba(Zr0.2Ti0.8)O3-x(Ba0.7Ca0.3)TiO3 ceramics
• First-principles studies of the local structure and relaxor behavior of Pb(Mg${}_{1/3}$Nb${}_{2/3}$)O${}_3$-PbTiO${}_3$-derived ferroelectric perovskite solid solutions
• Epitaxial growth and magnetoelectric relaxor behavior in multiferroic 0.8Pb(Fe1/2Nb1/2)O3-0.2Pb(Mg1/2W1/2)O3 thin films
• Quantum percolation phase transition and magneto-electric dipole glass in hexagonal ferrites
• Proximate transition temperatures amplify linear magnetoelectric coupling in strain-disordered multiferroic BiMnO3
• Spontaneous decay of a soft optical phonon in the relaxor ferroelectric PbMg${}_{1/3}$Nb${}_{2/3}$O${}_3$
• Domain dynamics in LiCuVO${}_4$: Evidence for polarized nanoregions
• Liquid-crystal-like dynamic transition in ferroelectric/dielectric superlattices
• Anelastic relaxor behavior of Pb(Mg1/3Nb2/3)O3
• Subcoercive-field dielectric response of $0.5({\text{Ba}}_{0.7}{\text{Ca}}_{0.3}{\text{TiO}}_3)-0.5({\text{BaZr}}_{0.2}{\text{Ti}}_{0.8}{\text{O}}_3)$ thin film: peculiar third harmonic signature of phase transitions and residual ferroelectricity
• Quantum Critical Points in Ferroelectric Relaxors: Stuffed Tungsten Bronze K3Li2Ta5O15 and Lead Pyrochlore (Pb2Nb2O7)
• Ferroelectricity in underdoped La-based cuprates
• Fast broadband cluster spin-glass dynamics in PbFe${}_{1/2}$Nb${}_{1/2}$O${}_3$
• NMR study of Ni50+xTi50-x Strain-Glass
• Magnetic skin effect in Pb(Fe${}_{1/2}$Nb${}_{1/2}$)O${}_3$
• Magnetic control of large room-temperature polarization