Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities

Franosch, Thomas; Fuchs, Matthias; Götze, Wolfgang; Mayr, Matthias R.; Singh, A. P.

Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities

Dateien

Asymptotic_laws_and_preasymptotic_correction_formulas.pdfGröße: 563.14 KBDownloads: 483

Datum

1997

Autor:innen

Franosch, Thomas

Fuchs, Matthias

Götze, Wolfgang

Mayr, Matthias R.

Singh, A. P.

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Physik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Physical Review E. 1997, 55(6), pp. 7153-7176. Available under: doi: 10.1103/PhysRevE.55.7153

Zusammenfassung

Within the mode-coupling theory (MCT) for the dynamics of simple liquids, the leading corrections to the asymptotic solutions for the relaxation in the vicinity of an ideal glass transition are derived. The formulas are used to determine the range of validity of the scaling-law description of the MCT results for the a and ß processes in glass-forming systems. Solutions of the MCT equations of motion are calculated for a hard-sphere colloidal suspension model and compared with the derived analytical results. The leading-order formulas are shown to describe the major qualitative features of the bifurcation scenario near the transition and the leadingplus-next-to-leading-order formulas are demonstrated to give a quantitative description of the evolution of structural relaxation for the model.

Fachgebiet (DDC)

530 Physik

Zitieren

ISO 690

FRANOSCH, Thomas, Matthias FUCHS, Wolfgang GÖTZE, Matthias R. MAYR, A. P. SINGH, 1997. Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities. In: Physical Review E. 1997, 55(6), pp. 7153-7176. Available under: doi: 10.1103/PhysRevE.55.7153

BibTex

@article{Franosch1997Asymp-4772,
  year={1997},
  doi={10.1103/PhysRevE.55.7153},
  title={Asymptotic laws and preasymptotic correction formulas for the relaxation near glass-transition singularities},
  number={6},
  volume={55},
  journal={Physical Review E},
  pages={7153--7176},
  author={Franosch, Thomas and Fuchs, Matthias and Götze, Wolfgang and Mayr, Matthias R. and Singh, A. P.}
}

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