Some consequences of the α/β bifurcation of relaxations in supercooled liquids

Xiao-Cheng Zeng; Daniel Kivelson; Gilles Tarjus

doi:10.1016/0022-3093(94)90417-0

Some consequences of the α/β bifurcation of relaxations in supercooled liquids

Xiao-Cheng Zeng, Daniel Kivelson, Gilles Tarjus

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

6 Citations (Scopus)

Abstract

Because it is a doubly projected quantity and is related to correlation functions of gradients of the intermolecular potential, the normalized second memory function corresponding to the relaxation of a dynamical quantity A(t) is taken to be a relaxation function dependent only upon collective modes and independent of the specific nature of the variable A(t). From this assumption alone the relaxation properties of many variables A(t) can be obtained and a rationale for the generalized Stokes-Einstein relation can be given. Further, by assuming that this memory function is biexponential, many of the properties characteristics of systems which exhibit bifurcation of their slow relaxations into α and 'slow β' processes can be obtained. © 1994.

Original language	English
Pages (from-to)	61-68
Journal	Journal of Non-Crystalline Solids
Volume	172-174
Issue number	PART 1
DOIs	https://doi.org/10.1016/0022-3093(94)90417-0
Publication status	Published - 1 Sept 1994
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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title = "Some consequences of the α/β bifurcation of relaxations in supercooled liquids",

abstract = "Because it is a doubly projected quantity and is related to correlation functions of gradients of the intermolecular potential, the normalized second memory function corresponding to the relaxation of a dynamical quantity A(t) is taken to be a relaxation function dependent only upon collective modes and independent of the specific nature of the variable A(t). From this assumption alone the relaxation properties of many variables A(t) can be obtained and a rationale for the generalized Stokes-Einstein relation can be given. Further, by assuming that this memory function is biexponential, many of the properties characteristics of systems which exhibit bifurcation of their slow relaxations into α and 'slow β' processes can be obtained. {\textcopyright} 1994.",

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AU - Zeng, Xiao-Cheng

AU - Kivelson, Daniel

AU - Tarjus, Gilles

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N2 - Because it is a doubly projected quantity and is related to correlation functions of gradients of the intermolecular potential, the normalized second memory function corresponding to the relaxation of a dynamical quantity A(t) is taken to be a relaxation function dependent only upon collective modes and independent of the specific nature of the variable A(t). From this assumption alone the relaxation properties of many variables A(t) can be obtained and a rationale for the generalized Stokes-Einstein relation can be given. Further, by assuming that this memory function is biexponential, many of the properties characteristics of systems which exhibit bifurcation of their slow relaxations into α and 'slow β' processes can be obtained. © 1994.

AB - Because it is a doubly projected quantity and is related to correlation functions of gradients of the intermolecular potential, the normalized second memory function corresponding to the relaxation of a dynamical quantity A(t) is taken to be a relaxation function dependent only upon collective modes and independent of the specific nature of the variable A(t). From this assumption alone the relaxation properties of many variables A(t) can be obtained and a rationale for the generalized Stokes-Einstein relation can be given. Further, by assuming that this memory function is biexponential, many of the properties characteristics of systems which exhibit bifurcation of their slow relaxations into α and 'slow β' processes can be obtained. © 1994.

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JO - Journal of Non-Crystalline Solids

JF - Journal of Non-Crystalline Solids

IS - PART 1

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Some consequences of the α/β bifurcation of relaxations in supercooled liquids

Abstract

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