N.m.r. relaxation parameters such as NOEF, T1 and T1π are computed for polycarbonate and polydimethylsiloxane using the new series and the results compared to experiment and to earlier computations which employed a decomposition of the KWW function into a sum of exponential terms....
3.Relationship between the Rajagopal relaxation-time distribution and the KWW relaxation response The relaxation function UðtÞ, represented by equivalent formulas (5) and(6) that connect the deterministic response of the relaxing system with its e,ective random representation,may be written in...
The subsine, subcosine, subhyperbolic sine, and subhyperbolic cosine associated with Kohlrausch芒鈧 Williams芒鈧 Watts (KWW) function and their scaling-law ODEs are proposed. The supersine, supercosine, superhyperbolic sine, and superhyperbolic cosine functions associated with Mittag-Leffler (ML) ...
The Kohlrausch-Williams-Watts (KWW) relaxation function, F_(KWW)(t) = exp{-(t/τ_(KWW))~(β)} with 0 < β≤ 1 has been often utilized to describe relaxation processes in systems governed by cooperativity/coupling of molecules therein. Nevertheless, this function has not been well ...
Afterward, we derive the time dependency of stress relaxation as a mode-averaged decay function, which expresses spatial and temporal heterogeneity. Both the results of simulation and calculation reproduce the KWW relaxation form and are in good agreement, confirming the spatially and temporally ...