&agr;‐relaxation in supercooled liquids
作者:
W. Go¨tze,
L. Sjo¨gren,
期刊:
AIP Conference Proceedings
(AIP Available online 1992)
卷期:
Volume 256,
issue 1
页码: 95-104
ISSN:0094-243X
年代: 1992
DOI:10.1063/1.42464
出版商: AIP
数据来源: AIP
摘要:
The mode coupling equations for the description of supercooled liquid dynamics exhibit cuspoid bifurcation singularities. The simplest glass transition singularity causes a liquid to glass cross over at some ideal glass transition temperature Tc. There appear &agr;‐relaxation processes whose time scale crosses over near Tcfrom power law to Arrhenius variation. For T≳Tcthere holds the time‐temperature superposition principle and scale universality. Below Tcscales decouple and the &agr;‐scaling law may be invalid. Von Schweidler fractal decay is identified as reason for the stretching phenomenon. Simple schematic models can explain &agr;‐peaks quantitatively, in particular systematic deviations from the Kohlrausch law, &agr;’‐&agr;‐double peak patterns are obtained as result of self intersections of the bifurcation hypersurfaces. First principle calculations of the &agr;‐peaks for the hard sphere systems are discussed.
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