Single-order-parameter description of glass-forming liquids

A one-frequency test

Niels Langager Ellegaard, Tage Emil Christensen, Peder Voetmann Christiansen, Niels Boye Olsen, Ulf Rørbæk Pedersen, Thomas Schrøder, Jeppe Dyre

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

Udgivelsesdato: 21 februar
OriginalsprogEngelsk
TidsskriftJournal of Chemical Physics
Vol/bind126
Udgave nummer7
Sider (fra-til)074502-1 - 074502-8
Antal sider8
ISSN0021-9606
DOI
StatusUdgivet - 2007

Citer dette

@article{b0dd8bc0d07211db9c7c000ea68e967b,
title = "Single-order-parameter description of glass-forming liquids: A one-frequency test",
abstract = "Thermoviscoelastic linear-response functions are calculated from the master equation describing viscous liquid inherent dynamics. From the imaginary parts of the frequency-dependent isobaric specific heat, isothermal compressibility, and isobaric thermal expansion coefficient, we define a {"}linear dynamic Prigogine-Defay ratio{"} with the property that if this ratio is unity at one frequency, then it is unity at all frequencies. This happens if and only if there is a single-order-parameter description of the thermoviscoelastic linear responses via an order parameter which may be nonexponential in time. Generalizations to other cases of thermodynamic control parameters than temperature and pressure are also presented.",
author = "Ellegaard, {Niels Langager} and Christensen, {Tage Emil} and Christiansen, {Peder Voetmann} and Olsen, {Niels Boye} and Pedersen, {Ulf R{\o}rb{\ae}k} and Thomas Schr{\o}der and Jeppe Dyre",
year = "2007",
doi = "10.1063/1.2434963",
language = "English",
volume = "126",
pages = "074502--1 -- 074502--8",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
publisher = "American Institute of Physics",
number = "7",

}

Single-order-parameter description of glass-forming liquids : A one-frequency test. / Ellegaard, Niels Langager; Christensen, Tage Emil; Christiansen, Peder Voetmann; Olsen, Niels Boye; Pedersen, Ulf Rørbæk; Schrøder, Thomas; Dyre, Jeppe.

I: Journal of Chemical Physics, Bind 126, Nr. 7, 2007, s. 074502-1 - 074502-8.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Single-order-parameter description of glass-forming liquids

T2 - A one-frequency test

AU - Ellegaard, Niels Langager

AU - Christensen, Tage Emil

AU - Christiansen, Peder Voetmann

AU - Olsen, Niels Boye

AU - Pedersen, Ulf Rørbæk

AU - Schrøder, Thomas

AU - Dyre, Jeppe

PY - 2007

Y1 - 2007

N2 - Thermoviscoelastic linear-response functions are calculated from the master equation describing viscous liquid inherent dynamics. From the imaginary parts of the frequency-dependent isobaric specific heat, isothermal compressibility, and isobaric thermal expansion coefficient, we define a "linear dynamic Prigogine-Defay ratio" with the property that if this ratio is unity at one frequency, then it is unity at all frequencies. This happens if and only if there is a single-order-parameter description of the thermoviscoelastic linear responses via an order parameter which may be nonexponential in time. Generalizations to other cases of thermodynamic control parameters than temperature and pressure are also presented.

AB - Thermoviscoelastic linear-response functions are calculated from the master equation describing viscous liquid inherent dynamics. From the imaginary parts of the frequency-dependent isobaric specific heat, isothermal compressibility, and isobaric thermal expansion coefficient, we define a "linear dynamic Prigogine-Defay ratio" with the property that if this ratio is unity at one frequency, then it is unity at all frequencies. This happens if and only if there is a single-order-parameter description of the thermoviscoelastic linear responses via an order parameter which may be nonexponential in time. Generalizations to other cases of thermodynamic control parameters than temperature and pressure are also presented.

U2 - 10.1063/1.2434963

DO - 10.1063/1.2434963

M3 - Journal article

VL - 126

SP - 074502-1 - 074502-8

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 7

ER -