Correlation of cooperatively localized rearrangement on the “fluidized domain” in glass substances (or polymers) to their fragility III: Theory of dynamic fragility at isochoric state
Identifieur interne : 000630 ( Main/Exploration ); précédent : 000629; suivant : 000631Correlation of cooperatively localized rearrangement on the “fluidized domain” in glass substances (or polymers) to their fragility III: Theory of dynamic fragility at isochoric state
Auteurs : Yan Jin [République populaire de Chine] ; Mingshi Song [République populaire de Chine] ; Guixian Hu [République populaire de Chine] ; Daming Wu [République populaire de Chine]Source :
- Science China Physics, Mechanics and Astronomy [ 1674-7348 ] ; 2011.
English descriptors
- Teeft :
- Angell plot, Astron, Average relaxation time, Average structural relaxation time, Average time, Bifurcation, Bulk modulus, Characteristic time, Chem phys, China phys mech astron, Complex modulus, Compressible, Compressible substance, Conformation fraction, Constituent, Constituent chain, Correlation plot, Crossover, Datum, Decay function, Domain constituent chain, Dynamic equilibrium state, Dynamic fragility, Dynamic fragility index, Empirical equation, Exact definition, Exponential, Exponential function, External stress, Fluidized domain, Fragility, Glass former, Glass substance, Glass transition, In pressure, Isobaric, Isobaric state, Isochoric, Isochoric fragility, Isochoric fragility index, Isochoric state, Isostructural, Isostructural glass state, Isostructural parameter, Kinetic fragility, Linear correlation, Localized rearrangement, Main feature, Mech, Memory effect, Modulus, Ngai, Nonlinearity, Parameter, Phys, Polymer, Primary molecular weight, Rearrangement, Reference temperature, Relaxation, Relaxation stage, Relaxation time, Secondary constituent chain, Shear stress, Shear stress relaxation modulus, Shear stress relaxation modulus curve, Single structural relaxation, Strength parameter, Stress relaxation, Stress relaxation modulus, Stress relaxation state, Structural origin, Structural process, Structural relaxation, Structural relaxation process, Structural relaxation time, Temperature dependence, Thermal history, Total stress, Trans form, Universal equation, Variable quantity, Viscosity datum.
Abstract
Abstract: A set of universal equations on the reduced stress relaxation modulus with K-W-W stretched exponential function has been derived from the dynamics of α and β structural relaxation processes. In the present work, the K-W-W decay function is used to define the three types of relaxations (single α, single β relaxation and α-β co-relaxation), then their average times of relaxation are theoretically calculated from the reduced shear stress relaxation modulus and the relaxation time spectrum function H(τ). When the average time of co-relaxation, the reference temperatures (ficitive T f and glass transition T g) and the isostructural parameter achieved from the conditions of isostructural glass state are introduced into the reduced shear stress relaxation modulus (G T) under the equilibrium state, a set of correlations between isochoric fragility index (m να, m νβ and m ναβ) and the coupling strength (α and β) under the reference temperatures are derived from the exact definition of isochoric fragility. So the theory of dynamic fragility for glass substances at isochoric state is developed. The theory can predict the following main features of structural relaxations and behavior of isochoric fragility: the temperature dependence of peak relaxation frequency exhibits a bifurcation with a pair of single α and single β relaxations; the temperature dependence of Stickel equation on 1/T exhibits two crossovers with VFTH(1) and VFTH(2) at the temperatures of T f and T g regime; there are two linear correlations between isochoric fragility index (m να and m νβ) and the coupling strength. Fine agreements between the theoretical calculation and experimental results are obtained.
Url:
DOI: 10.1007/s11433-010-4236-2
Affiliations:
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China Phys. Mech. Astron.</title><idno type="ISSN">1674-7348</idno><idno type="eISSN">1869-1927</idno><imprint><publisher>SP Science China Press</publisher><pubPlace>Heidelberg</pubPlace><date type="published" when="2011">2011</date><biblScope unit="vol" from="54" to="54">54</biblScope><biblScope unit="issue" from="3" to="3">3</biblScope><biblScope unit="page" from="420">420</biblScope><biblScope unit="page" to="436">436</biblScope></imprint><idno type="ISSN">1674-7348</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">1674-7348</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Angell plot</term><term>Astron</term><term>Average relaxation time</term><term>Average structural relaxation time</term><term>Average time</term><term>Bifurcation</term><term>Bulk modulus</term><term>Characteristic time</term><term>Chem phys</term><term>China phys mech astron</term><term>Complex modulus</term><term>Compressible</term><term>Compressible substance</term><term>Conformation fraction</term><term>Constituent</term><term>Constituent chain</term><term>Correlation plot</term><term>Crossover</term><term>Datum</term><term>Decay function</term><term>Domain constituent chain</term><term>Dynamic equilibrium state</term><term>Dynamic fragility</term><term>Dynamic fragility index</term><term>Empirical equation</term><term>Exact definition</term><term>Exponential</term><term>Exponential function</term><term>External stress</term><term>Fluidized domain</term><term>Fragility</term><term>Glass former</term><term>Glass substance</term><term>Glass transition</term><term>In pressure</term><term>Isobaric</term><term>Isobaric state</term><term>Isochoric</term><term>Isochoric fragility</term><term>Isochoric fragility index</term><term>Isochoric state</term><term>Isostructural</term><term>Isostructural glass state</term><term>Isostructural parameter</term><term>Kinetic fragility</term><term>Linear correlation</term><term>Localized rearrangement</term><term>Main feature</term><term>Mech</term><term>Memory effect</term><term>Modulus</term><term>Ngai</term><term>Nonlinearity</term><term>Parameter</term><term>Phys</term><term>Polymer</term><term>Primary molecular weight</term><term>Rearrangement</term><term>Reference temperature</term><term>Relaxation</term><term>Relaxation stage</term><term>Relaxation time</term><term>Secondary constituent chain</term><term>Shear stress</term><term>Shear stress relaxation modulus</term><term>Shear stress relaxation modulus curve</term><term>Single structural relaxation</term><term>Strength parameter</term><term>Stress relaxation</term><term>Stress relaxation modulus</term><term>Stress relaxation state</term><term>Structural origin</term><term>Structural process</term><term>Structural relaxation</term><term>Structural relaxation process</term><term>Structural relaxation time</term><term>Temperature dependence</term><term>Thermal history</term><term>Total stress</term><term>Trans form</term><term>Universal equation</term><term>Variable quantity</term><term>Viscosity datum</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: A set of universal equations on the reduced stress relaxation modulus with K-W-W stretched exponential function has been derived from the dynamics of α and β structural relaxation processes. In the present work, the K-W-W decay function is used to define the three types of relaxations (single α, single β relaxation and α-β co-relaxation), then their average times of relaxation are theoretically calculated from the reduced shear stress relaxation modulus and the relaxation time spectrum function H(τ). When the average time of co-relaxation, the reference temperatures (ficitive T f and glass transition T g) and the isostructural parameter achieved from the conditions of isostructural glass state are introduced into the reduced shear stress relaxation modulus (G T) under the equilibrium state, a set of correlations between isochoric fragility index (m να, m νβ and m ναβ) and the coupling strength (α and β) under the reference temperatures are derived from the exact definition of isochoric fragility. So the theory of dynamic fragility for glass substances at isochoric state is developed. The theory can predict the following main features of structural relaxations and behavior of isochoric fragility: the temperature dependence of peak relaxation frequency exhibits a bifurcation with a pair of single α and single β relaxations; the temperature dependence of Stickel equation on 1/T exhibits two crossovers with VFTH(1) and VFTH(2) at the temperatures of T f and T g regime; there are two linear correlations between isochoric fragility index (m να and m νβ) and the coupling strength. Fine agreements between the theoretical calculation and experimental results are obtained.</div></front></TEI><affiliations><list><country><li>République populaire de Chine</li></country><settlement><li>Pékin</li></settlement></list><tree><country name="République populaire de Chine"><noRegion><name sortKey="Jin, Yan" sort="Jin, Yan" uniqKey="Jin Y" first="Yan" last="Jin">Yan Jin</name></noRegion><name sortKey="Hu, Guixian" sort="Hu, Guixian" uniqKey="Hu G" first="Guixian" last="Hu">Guixian Hu</name><name sortKey="Song, Mingshi" sort="Song, Mingshi" uniqKey="Song M" first="Mingshi" last="Song">Mingshi Song</name><name sortKey="Song, Mingshi" sort="Song, Mingshi" uniqKey="Song M" first="Mingshi" last="Song">Mingshi Song</name><name sortKey="Wu, Daming" sort="Wu, Daming" uniqKey="Wu D" first="Daming" last="Wu">Daming Wu</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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