Abstract
The evolution of the tagged particle probability density for a hard sphere system is evaluated within the β-relaxation window. Relaxation curves obtained by molecular dynamics studies by Barrat, Hansen and Roux for a binary mixture are analyzed quantitatively with β-relaxation scaling formulae. The dynamical light scattering data obtained by Pusey and van Megen for colloidal suspensions are described by the combined α- and β-relaxation scaling results. The range of validity of asymptotic expressions near a glass transition singularity is discussed for the Debye-Waller factor as a function of packing fraction. The applied theoretical formulae are those of the mode coupling theory for the liquid to glass transition.
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Fuchs, M., Götze, W., Hildebrand, S. et al. β relaxation theory for simple systems: some addenda. Z. Physik B - Condensed Matter 87, 43–49 (1992). https://doi.org/10.1007/BF01308255
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DOI: https://doi.org/10.1007/BF01308255