Stability of the dielectric parameters in the R splitting region against methodical variations is demonstrated. The Williams product ansatz for correlation functions and an additive ansatz for dielectric functions are compared for poly(ethyl methacrylate). Both evaluation methods give a diminishing R intensity with increasing temperature, and a separate trace for the R relaxation different from both the secondary relaxation below and the high-temperature a process above the crossover. Furthermore, measurements on different poly(n-butyl methacrylate) samples and evaluation results of different experimentalists are compared. The intensity onset of the cooperative R relaxation, starting from zero at a characteristic temperature T on in the crossover region, and the parallel course of R and relaxations below Ton, separated by about one frequency decade in an Arrhenius diagram, remain stable against measurement and evaluation variations.
A. IntroductionThe dynamic glass transition (main transition or, conventionally, R relaxation) in low-molecular-weight glass formers, network glasses, and amorphous polymeric materials is usually accompanied by different secondary relaxations ( , γ relaxations and so on). 1,2 Whereas the glass transition at low temperatures is assumed to be caused by the cooperative motion of many particles, the secondary relaxations are of more localized molecular origin (for instance, Johari-Goldstein or process). 3,4 This process is distinct from the fast relaxation process in the picosecond time scale as described by the mode-coupling theory, 5 and distinct from the scattering effects at the boson peak. 6 The temperature dependence of characteristic relaxation times τ ) 1/ω max for the different processes can be visualized in an Arrhenius or activation diagram (log τ as a function of 1/T, ω max is the frequency of the maximum dynamic loss susceptibility, ′′(ω) here). The main transition is characterized by a curved trace, in particular for fragile glass formers, 7 whereas the traces of the secondary relaxations usually are straight lines.With increasing temperature and frequency the main transition and the trace will usually approach each other. 1 This crossover region, 8 called the R splitting region here, is of great importance for understanding the development of the glass transition below the crossover and the relation between both relaxation processes. To distinguish the qualitatively different relaxation processes of the main transition above and below the crossover we call the low-temperature part R and the high-temperature part a. 9 The details of the R splitting region were investigated in poly(n-alkyl methacrylate)s by means of broadband dielectric spectroscopy. 10 Supposing additivity of the R and compliances, an intensity onset of the cooperative R process, starting from zero at a characteristic onset temperature T on , was observed in all examples. For poly(n-butyl methacrylate) the traces of the developing R relaxation and the relaxation are parallel in the crossover region, separate...