On the Rajagopal relaxation-time distribution and its relationship to the Kohlrausch–Williams–Watts relaxation function

Advanced bismuth-doped lead-germanate glass for broadband optical gain devices

“…Stretched exponential relaxation is commonly interpreted as a sum of pure exponential decays with a probability distribution P of lifetime values for a given value of ␤ [30]. Recently, the probability distribution P͑ 0 / ͒ of the stretched exponential function for different ␤ values have been calculated [30][31][32]. Analysis of these distributions leads to the following physical inter- pretations: that 0 is that , which is equally likely to be less than 0 as it is to be greater, and that ␤ is a measure of the intrinsic long lifetime cutoff of P͑ 0 / , ␤͒ [30].…”

Heavy-tail properties of relaxation time distributions underlying the Havriliak–Negami and the Kohlrausch–Williams–Watts relaxation patterns

“…Note that such a representation is very useful in studying the power-law asymptotics of the considered functions [14]. In practice, instead of formula (6), to analyze experimental data, the following log-representation [11] is commonly used…”

Water Absorption and Degraded Stress Relaxation Behavior in Water-Borne Anticorrosive Urethane/Epoxy Coatings

“…The complex nature of the Equation typically results in it being simplified into a stretched exponential function, commonly called the W-W Equation [7]. [12][13][14][15]. In this equation τ represents a "characteristic relaxation time" for the system as a whole.…”

“…Conclusions drawn about the nature of the relationship between τ and β are properties of the W-W equation itself [12][13][14][15]. As the W-W equation is used as a best fit to the actual data, the calculated values of the equation fitted to the data will follow trends that relate to the nature of the equation.…”