2001/04/10 by Song‐Ho Chong, S. -H. Chong, W. Gotze +3 · 1 citation
Chemical Engineering · Engineering · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Thermodynamic properties of mixtures #cond-mat.soft
paper · pdf · doi:10.1103/physreve.64.011503
18 pages, 12 figures, Phys. Rev. E, in print
arxiv created 2001/04/10 · openalex publication_date 2001/06/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The mean-squared displacement (MSD) of a hard sphere and of a dumbbell molecule consisting of two fused hard spheres immersed in a dense hard-sphere system is calculated within the mode-coupling theory for ideal liquid-glass transitions. It is proven that the velocity correlator, which is the second time derivative of the MSD, is the negative of a completely monotone function for times within the structural-relaxation regime. The MSD is found to exhibit a large time interval for structural relaxation prior to the onset of the alpha process, which cannot be described by the asymptotic formulas for the mode-coupling-theory-bifurcation dynamics. The alpha process for molecules with a large elongation is shown to exhibit an anomalously wide crossover interval between the end of the von Schweidler decay and the beginning of normal diffusion. The diffusivity of the molecule is predicted to vary nonmonotonically as a function of its elongation.