Testing for one Generalized Linear Single Order Parameter

    Publikation: KonferencebidragPosterForskning

    Resumé

    We examine a linear single order parameter model for thermoviscoelastic relaxation in viscous liquids, allowing for a distribution of relaxation times. In this model the relaxation of volume and entalpy is completely described by the relaxation of one internal order parameter. In contrast to prior work the order parameter may be chosen to have a non-exponential relaxation. The model predictions contradict the general consensus of the properties of viscous liquids in two ways: (i) The model predicts that following a linear isobaric temperature step, the normalized volume and entalpy relaxation functions are identical. This assumption conflicts with some (but not all) reports, utilizing the Tool-Narayanaswamy formalism to extrapolate from non-linear measurements to the linear regime. (ii) The model predicts that the theoretical "linear Prigogine-Defay" ratio is one. This ratio has never been accurately measured, however, as this involves the measurement on a equilibrium liquid of three linear static responses and three linear instantaneous responses. The existing experimental reports of the Prigogine-Defay ratio either fail to measure a truly linear, instantaneous, isobaric and isothermal responses or extrapolate from measurements of a glassy state away from equilibrium. Starting from a master equation description of inherent dynamics, we calculate the complex thermodynamic response functions. We device a way of testing for the generalized single order parameter model by measuring 3 complex response functions at a single frequency.
    OriginalsprogEngelsk
    Publikationsdato2004
    StatusUdgivet - 2004
    BegivenhedInternational Workshop on Dynamics in Viscous Liquids - München, Tyskland
    Varighed: 14 mar. 200417 mar. 2004
    Konferencens nummer: 1

    Konference

    KonferenceInternational Workshop on Dynamics in Viscous Liquids
    Nummer1
    LandTyskland
    ByMünchen
    Periode14/03/200417/03/2004

    Citer dette

    Ellegaard, N. L., Christensen, T. E., Dyre, J., & Olsen, N. B. (2004). Testing for one Generalized Linear Single Order Parameter. Poster session præsenteret på International Workshop on Dynamics in Viscous Liquids, München, Tyskland.
    Ellegaard, Niels Langager ; Christensen, Tage Emil ; Dyre, Jeppe ; Olsen, Niels Boye. / Testing for one Generalized Linear Single Order Parameter. Poster session præsenteret på International Workshop on Dynamics in Viscous Liquids, München, Tyskland.
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    title = "Testing for one Generalized Linear Single Order Parameter",
    abstract = "We examine a linear single order parameter model for thermoviscoelastic relaxation in viscous liquids, allowing for a distribution of relaxation times. In this model the relaxation of volume and entalpy is completely described by the relaxation of one internal order parameter. In contrast to prior work the order parameter may be chosen to have a non-exponential relaxation. The model predictions contradict the general consensus of the properties of viscous liquids in two ways: (i) The model predicts that following a linear isobaric temperature step, the normalized volume and entalpy relaxation functions are identical. This assumption conflicts with some (but not all) reports, utilizing the Tool-Narayanaswamy formalism to extrapolate from non-linear measurements to the linear regime. (ii) The model predicts that the theoretical {"}linear Prigogine-Defay{"} ratio is one. This ratio has never been accurately measured, however, as this involves the measurement on a equilibrium liquid of three linear static responses and three linear instantaneous responses. The existing experimental reports of the Prigogine-Defay ratio either fail to measure a truly linear, instantaneous, isobaric and isothermal responses or extrapolate from measurements of a glassy state away from equilibrium. Starting from a master equation description of inherent dynamics, we calculate the complex thermodynamic response functions. We device a way of testing for the generalized single order parameter model by measuring 3 complex response functions at a single frequency.",
    author = "Ellegaard, {Niels Langager} and Christensen, {Tage Emil} and Jeppe Dyre and Olsen, {Niels Boye}",
    year = "2004",
    language = "English",
    note = "null ; Conference date: 14-03-2004 Through 17-03-2004",

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    Ellegaard, NL, Christensen, TE, Dyre, J & Olsen, NB 2004, 'Testing for one Generalized Linear Single Order Parameter' International Workshop on Dynamics in Viscous Liquids, München, Tyskland, 14/03/2004 - 17/03/2004, .

    Testing for one Generalized Linear Single Order Parameter. / Ellegaard, Niels Langager; Christensen, Tage Emil; Dyre, Jeppe; Olsen, Niels Boye.

    2004. Poster session præsenteret på International Workshop on Dynamics in Viscous Liquids, München, Tyskland.

    Publikation: KonferencebidragPosterForskning

    TY - CONF

    T1 - Testing for one Generalized Linear Single Order Parameter

    AU - Ellegaard, Niels Langager

    AU - Christensen, Tage Emil

    AU - Dyre, Jeppe

    AU - Olsen, Niels Boye

    PY - 2004

    Y1 - 2004

    N2 - We examine a linear single order parameter model for thermoviscoelastic relaxation in viscous liquids, allowing for a distribution of relaxation times. In this model the relaxation of volume and entalpy is completely described by the relaxation of one internal order parameter. In contrast to prior work the order parameter may be chosen to have a non-exponential relaxation. The model predictions contradict the general consensus of the properties of viscous liquids in two ways: (i) The model predicts that following a linear isobaric temperature step, the normalized volume and entalpy relaxation functions are identical. This assumption conflicts with some (but not all) reports, utilizing the Tool-Narayanaswamy formalism to extrapolate from non-linear measurements to the linear regime. (ii) The model predicts that the theoretical "linear Prigogine-Defay" ratio is one. This ratio has never been accurately measured, however, as this involves the measurement on a equilibrium liquid of three linear static responses and three linear instantaneous responses. The existing experimental reports of the Prigogine-Defay ratio either fail to measure a truly linear, instantaneous, isobaric and isothermal responses or extrapolate from measurements of a glassy state away from equilibrium. Starting from a master equation description of inherent dynamics, we calculate the complex thermodynamic response functions. We device a way of testing for the generalized single order parameter model by measuring 3 complex response functions at a single frequency.

    AB - We examine a linear single order parameter model for thermoviscoelastic relaxation in viscous liquids, allowing for a distribution of relaxation times. In this model the relaxation of volume and entalpy is completely described by the relaxation of one internal order parameter. In contrast to prior work the order parameter may be chosen to have a non-exponential relaxation. The model predictions contradict the general consensus of the properties of viscous liquids in two ways: (i) The model predicts that following a linear isobaric temperature step, the normalized volume and entalpy relaxation functions are identical. This assumption conflicts with some (but not all) reports, utilizing the Tool-Narayanaswamy formalism to extrapolate from non-linear measurements to the linear regime. (ii) The model predicts that the theoretical "linear Prigogine-Defay" ratio is one. This ratio has never been accurately measured, however, as this involves the measurement on a equilibrium liquid of three linear static responses and three linear instantaneous responses. The existing experimental reports of the Prigogine-Defay ratio either fail to measure a truly linear, instantaneous, isobaric and isothermal responses or extrapolate from measurements of a glassy state away from equilibrium. Starting from a master equation description of inherent dynamics, we calculate the complex thermodynamic response functions. We device a way of testing for the generalized single order parameter model by measuring 3 complex response functions at a single frequency.

    M3 - Poster

    ER -

    Ellegaard NL, Christensen TE, Dyre J, Olsen NB. Testing for one Generalized Linear Single Order Parameter. 2004. Poster session præsenteret på International Workshop on Dynamics in Viscous Liquids, München, Tyskland.