  Spectral character of dielectric response in CaCu3Ti4O12 across 0.5Hz-4MHz
over 45-200K corresponding to neither the Debyean nor the KWW relaxation
patterns rather indicates a random-walk like diffusive dynamics of moments.
Non-linear relaxation here is due to the many body dipole-interactions, as
confirmed by spectral-fits of our measured permittivity to the Dissado-Hill
behaviour. Fractional power-laws observed in {\epsilon}*({\omega})
macroscopically reflect the fractal microscopic configurations. Below ~100K,
the power-law exponent m (n) steeply decreases (increases), indicating finite
length-scale collective response of moment-bearing entities. At higher
temperatures, m gradually approaches 1 and n falls to low values, reflecting
tendency towards the single-particle/Debyean relaxation.
