Hardening-softening transition in Fe-doped Pb(Zr,Ti)O3 ceramics and   evolution of the third harmonic of the polarization response
  It is shown that the phase angle of the third harmonic of polarization response (delta3) is very sensitive to the ageing state of hard, Fe-doped lead zirconate titanate [Pb(Zr,Ti)O3 or PZT] ceramics and may thus provide rich information on processes responsible for ageing in hard ferroelectrics. When hard PZT ceramics experience hardening (aged state) - softening (deaged state) transition, delta3 changes by about 90 degrees at subswitching fields and by about 180 degrees at switching conditions. Evolution of delta3 with time, temperature and electric field amplitude during deageing suggests that at least two mechanisms of charge migration, one short-range and one long-range, may participate in the deageing process. 
Maxim I. Morozov, Dragan Damjanovic