Nearly logarithmic decay in the colloidal hard-sphere system

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2005
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Sperl, Matthias
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Physical Review E. 2005, 71, 60401. Available under: doi: 10.1103/PhysRevE.71.060401
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Nearly logarithmic decay is identified in the data for the mean-squared displacement of the colloidal hardsphere system at the liquid-glass transition. The solutions of the 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 ß-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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ISO 690SPERL, Matthias, 2005. Nearly logarithmic decay in the colloidal hard-sphere system. In: Physical Review E. 2005, 71, 60401. Available under: doi: 10.1103/PhysRevE.71.060401
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@article{Sperl2005Nearl-9452,
  year={2005},
  doi={10.1103/PhysRevE.71.060401},
  title={Nearly logarithmic decay in the colloidal hard-sphere system},
  volume={71},
  journal={Physical Review E},
  author={Sperl, Matthias},
  note={Article Number: 60401}
}
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    <dcterms:abstract xml:lang="eng">Nearly logarithmic decay is identified in the data for the mean-squared displacement of the colloidal hardsphere system at the liquid-glass transition. The solutions of the 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 ß-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.</dcterms:abstract>
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