Figure 1. Analyses of the computational results of the KWW relaxation time spectra for values of the stretching parameter β between 0.05 and 0.95.

The computational data points from Eq. 3 are shown in symbols and the calculated results from Eq. 5 are given in continuous curves. a, Log-log plots of the modulus function for values between 0.05 and 0.95. The results manifest a strong dependence on , and for the same , monotonically increases to attain a peak value and then decreases. b, Semi-log plots of the probability density function for values between 0.05 and 0.95. The outcomes reveal quite different, strong dependence on , which divides the values in two ranges split by  = 1/2. For the same below 1/2, shows the behavior of monotonic decrease, in contrary to the observation that for the same above 1/2, gives a rapid initial decrease, then increases to attain a peak value and then decreases.