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&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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