Nearly-logarithmic decay in the colloidal hard-sphere system

Details Nearly-logarithmic decay in the colloidal hard-sphere system Nearly-logarithmic decay in the colloidal hard-sphere system

2005-02-24

arxiv.org/abs/cond-mat/0502592v1

Phys. Rev. E 71, 060401(R) (2005)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.71.060401

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.

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