Journal ArticleDOI
Detailed comparison of the Williams–Watts and Cole–Davidson functions
C. P. Lindsey,G. D. Patterson +1 more
TLDR
In this paper, the distribution function of relaxation times underlying the nonexponential relaxation function of Williams and Watts is derived and compared with the analogous Cole-Davidson distribution function, and several useful relations between relaxation and distribution functions are summarized or derived, and the limitations of deriving distribution functions from relaxation functions are discussed.Abstract:
The distribution function of relaxation times underlying the nonexponential relaxation function of Williams and Watts is derived and compared with the analogous Cole–Davidson distribution function. In order to make the comparison between the two distribution functions, a simple empirical relationship between the Cole–Davidson and Williams–Watts parameters was determined which may be used to compare data analyzed using the two fitting functions. Although the relaxation functions are similar to each other, the distribution functions are quite dissimilar. The Cole–Davidson distribution shows a sharp long time cutoff, while the Williams–Watts distribution decays approximately exponentially at long times. Finally, several useful relations between relaxation and distribution functions are summarized or derived, and the limitations of deriving distribution functions from relaxation functions are discussed.read more
Citations
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Effect of physical aging on the shape-memory behavior of amorphous networks
TL;DR: In this paper, the effects of physical aging on shape-memory performance of polyethylene glycol dimethacrylate (PEGDMA) based networks were investigated.
Journal ArticleDOI
Geometry of reorientational dynamics in supercooled poly(vinyl acetate) studied by 13C two-dimensional nuclear magnetic resonance echo experiments
TL;DR: In this article, a study of the reorientational segmental dynamics in supercooled polyvinyl acetate is presented, yielding detailed information about geometry and time scale of the motion close to the glass transition.
Journal ArticleDOI
Dynamics of glass-forming liquids. VI. Dielectric relaxation study of neat decahydro-naphthalene
Kalyan Duvvuri,Ranko Richert +1 more
TL;DR: In this paper, the authors measured the dielectric relaxation of neat cis/transdecahydro-naphthalene (decalin) in its supercooled regime as a function of temperature.
Journal ArticleDOI
Processability of Hyperbranched Poly(ether ketone)s with Different Degrees of Branching from Viewpoints of Molecular Mobility and Comparison with Their Linear Analogue
Seung-Yeop Kwak,Dae Up Ahn +1 more
TL;DR: In this article, the authors synthesized and characterized three hyperbranched poly(ether ketone)s with controlled degrees of branching and their linear analogous poly (ether ketones) (LPEK) whose chemical structure and molecular weights were similar to those of FHBPEKs.
Journal ArticleDOI
Translation-rotation decoupling and nonexponentiality in room temperature ionic liquids.
TL;DR: In this article, a combination of light scattering techniques and broadband dielectric spectroscopy was used to measure the temperature dependence of structural relaxation time and self diffusion in three imidazolium-based room temperature ionic liquids.
References
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Journal ArticleDOI
Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics
Kenneth S. Cole,Robert H. Cole +1 more
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Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
Graham Williams,David C. Watts +1 more
TL;DR: In this article, the empirical dielectric decay function γ(t)= exp −(t/τ 0)β was transformed analytically to give the frequency dependent complex dielectrics constant if β is chosen to be 0.50 in the range log(ωτ0) > −0.5.
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Analysis of Structural Relaxation in Glass Using Rate Heating Data
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Journal ArticleDOI
Further considerations of non symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
TL;DR: The empirical dielectric decay function ϕ(t)= exp −(t/τ0)β, 0 0, but significant corrections may have to be applied for β > 0.5 and log ωτ0 < 0.
Journal ArticleDOI
On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind
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TL;DR: In this article, the Laplace transform and other dilationally invariant integral equations of the first kind were derived for the eigenfunctions and eigenvalues, and the maximum possible amount of information was obtained when solving the inverse problem numerically.
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