Application of tikhonov regularization to dipole glass relaxation function

Abstract

Relaxation distribution function g(τ) was derived from the experimental data of dielectric measurements by use of the Tikhonov regularization method of solving for the inverse solution of the integral transform defining the relaxation time distribution g(τ) in the dipole glass system undergoing the glass freezing. The distribution function g(τ) allows to calculate the average or effective relaxation time (τ). The temperature dependence of (τ) was studied in DRADP-x (x = 0.4) dipole glass and found to follow the Vogel-Fulcher law of glass freezing with the static freezing temperature T 0≃16.5K.