Nearly-logarithmic decay in the colloidal hard-sphere system
arXiv:cond-mat/0502592 · doi:10.1103/PhysRevE.71.060401
Abstract
Nearly-logarithmic decay is identified in the data for the mean-squared displacement of the colloidal hard-sphere system at the liquid-glass transition [v. Megen et. al, Phys. Rev. E 58, 6073(1998)]. The solutions of mode-coupling theory for the microscopic equations of motion fit the experimental data well. Based on these equations, the nearly-logarithmic decay is explained as the equivalent of a beta-peak phenomenon, a manifestation of the critical relaxation when the coupling between of the probe variable and the density fluctuations is strong. In an asymptotic expansion, a Cole-Cole formula including corrections is derived from the microscopic equations of motion, which describes the experimental data for three decades in time.
4 pages, 3 figures
References in corpus (8)
- Asymptotic laws for tagged-particle motion in glassy systems
- Evidence of a higher-order singularity in dense short-ranged attractive colloids
- Tagged-particle dynamics in a hard-sphere system: mode-coupling theory analysis
- Alpha-Relaxation Processes in Binary Hard-Sphere Mixtures
- Nearly-logarithmic decay of correlations in glass-forming liquids
- Logarithmic Relaxation in a Colloidal System
- Aspects of the dynamics of colloidal suspensions: Further results of the mode-coupling theory of structural relaxation
- The mean-squared displacement of a molecule moving in a glassy system
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