THE OBSERVATION OF THE FRACTIONAL KINETICS IN DIELECTRIC
RELAXATION: NEW INDICATORS OF THE COLLECTIVE MOTIONS
Raoul Nigmatullin
The author presented undoubted evidences that the fractional kinetics described by equations with non-integer integrals and derivatives containing real and complex-conjugated power-law exponents is observed experimentally in dielectric relaxation on the region of mesoscale. Besides, the author found the generalization of the well-known Vogel-Fulcher-Tamman empirical equation and showed that it divides one collective motion from another one in temperature region if dielectric spectra presented in the frequency domain. This important observation means that dielectric spectroscopy can be determined as the spectroscopy of the reduced collective motions on mesoscale region. The experimental confirmations of the last statement at analysis of complex dielectric spectra in conductive polymers have been found. Copyright © 2002 IFAC