Crossover temperature mode-coupling theory

Figure 47. Diffusion coefficient D as obtained from a molecular dynamics simulation study of a binary Lennard-Jones system reaching temperatures below the crossover temperature of mode coupling theory (MCT). Solid line represents interpolation by MCT power law note the large temperature range covered by the power law. (From Ref. 371.)...

Crossover Temperature for Various Glass Formers as Reported by the Different Methods From the Temperature Dependence of the Stretching Parameter y(T), Scaling the Time Constant xa — xa(r) [cf. Eq. (42)], Non-ergodicity Parameter 1 —f(T) Obtained from Spectra Analysis, Electron Paramagnetic Resonance (EPR), and from Tests of the Asymptotic Laws of Mode Coupling Theory ... 

Figure 4.6 l/logio(/oo//p) versus temperature for propylene carbonate. Here logjQ foo = InjToo -13.11, where too (in sec) is the high-frequency relaxation time in Eq. (4-3). Ta is the crossover temperature between Arrhenius and VFTH behavior. The prediction of the mode-coupling theory MCT (see Section 4.6) is also shown, where 7). is the critical temperature. (From Schbnhals et al. 1993, with permission.)... 

Figure 4.7 Cole-Davidson exponent as a function of temperature for glycerol (circles), propylene glycol (squares), and propylene carbonate (triangles). is the temperature at which the crossover from Arrhenius to VFTH behavior is observed, while is the best fit to the critical temperature of the mode-coupling theory (see Section 4.6). (From Schonhals et al. 1993, reprinted with permission from the American Physical Society.)...

Noteworthy is the strong evidence for the coincidence of Jg with the mode coupling theory (MCT) ergodic - non-ergodic crossover, critical , temperature MCT Moreover, the system-independent time-scale for the dynamic... 

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