@article{Fuchs1992theor-5178,
  year={1992},
  doi={10.1088/0953-8984/4/38/007},
  title={A theory for the beta-relaxation process near the liquid-to-glass crossover},
  volume={4},
  journal={Journal of Physics: Condensed Matter},
  pages={7709--7744},
  author={Fuchs, Matthias and Götze, Wolfgang and Hildebrand, S. and Latz, Arnulf}
}

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    <dc:creator>Fuchs, Matthias</dc:creator>
    <dcterms:bibliographicCitation>First publ. in: Journal of Physics: Condensed Matter  4 (1992), pp. 7709-7744</dcterms:bibliographicCitation>
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    <dc:contributor>Fuchs, Matthias</dc:contributor>
    <dc:creator>Latz, Arnulf</dc:creator>
    <dcterms:issued>1992</dcterms:issued>
    <dcterms:abstract xml:lang="eng">The mode coupling theory for supercooled liquid dynamics finds a beta-relaxation regime on mesoscopic timeseales. It is caused by the interplay between nonlinear interadions of density fluctuations and phonon-assisted hopping transport. In this regime all correlation functions and spectra can be expressed in terms of a single ß-correlator G, which is a homogeneous function of lime and two relevant control parameters. It is specified by a single number, namely the exponent parameter. Eight regions can be identified, where the equation for G can be solved by series expansions. The various possibilities are discussed in comparison with representative numerical solutions. For temperatures T sufficiently above the critical value Tc hopping effects can be neglected and a stretched susceptibility minimum is found as a crossover from von Sehweidler decay to critical decay. For T near Tc hopping effects balance the cage effect and this results on logarithmic scales in a rather abrupt crossover from the high-frequency delta-peak tail to the critical spectrum. For T telow Tc there appears a frequency window between two knees in the susceptibility spectrum, where hopping effects suppress the enhanced fractal spectra. There occurs a crossover from Debye relaxation to white noise. The resulting susceptibility minimum in the strongly supercooled state exhibits a subtle power law dependence on the separation parameter T - Tc. The measurable features in the susceptibilily, such as position and strength of the minimum, are evaluated and shown to characterize transparently the liquid-to-glass crossover as caused by the underlying glass transition singularity.</dcterms:abstract>
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    <dc:contributor>Hildebrand, S.</dc:contributor>
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    <dc:contributor>Götze, Wolfgang</dc:contributor>
    <dcterms:title>A theory for the beta-relaxation process near the liquid-to-glass crossover</dcterms:title>
    <dc:contributor>Latz, Arnulf</dc:contributor>
    <dc:creator>Hildebrand, S.</dc:creator>
    <dc:creator>Götze, Wolfgang</dc:creator>
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