G. Li et al., LOCATING THE NONERGODICITY-PARAMETER ANOMALY NEAR THE LIQUID-TO-GLASSCROSSOVER TEMPERATURE IN CAKNO3 BY BRILLOUIN-SCATTERING, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(2), 1993, pp. 1192-1206
A Brillouin-scattering experiment was performed on the ionic glass for
mer CaKNO3 to determine the temperature dependence of the nonergodicit
y parameter f(T) of mode-coupling theory. The spectra were analyzed us
ing a generalized hydrodynamics formulation with most of the parameter
s fixed by previously reported experimental results. A conventional Co
le-Davidson model for the memory function was found to be inadequate d
ue to the neglect of beta relaxation. An empirical memory function inc
luding both alpha and beta relaxation was therefore constructed, based
on a previous depolarized-light-scattering study. It was, found to pr
ovide good fits to the spectra for the whole temperature range studied
. The resulting nonergodicity parameter exhibits a cusp anomaly as pre
dicted by mode coupling theory at T approximately 102-degrees-C, in go
od agreement with the crossover temperature T(c) found from previous n
eutron-scattering and depolarized-light-scattering studies. Our result
s also suggest that fits of data for supercooled liquids to phenomenol
ogical a-relaxation-only models may generally tend to underestimate th
e relaxation time.