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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Journal ArticleDOI
Time dependent stress relaxation and recovery in mechanically strained 3D microtissues.
TL;DR: An assessment of microtissues offers insights into how the collective behavior of cells in a 3D collagen matrix generates the dynamic mechanical properties of tissues, which is necessary to understand how cells deform and sense mechanical forces in vivo.
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Influence of equibiaxial extensional strain on stress relaxation of glycerol plasticised wheat gluten
TL;DR: In this paper, the authors evaluated the equibiaxial stress relaxation of 400 g kg−1 glycerol plasticised wheat gluten at different biaxial strains at room temperature for a better understanding of the processibility.
Journal ArticleDOI
The Mössbauer effect and collective motions in glass-forming liquids and polymeric networks
TL;DR: The application of the Mossbauer effect to the study of structural dynamics in complex systems is discussed in this paper, where the authors apply it to glass-forming liquids, synthetic polymers and biopolymers.
Journal ArticleDOI
Dynamics of Liquid 1-Ethyl-3-Methylimidazolium Acetate Measured with Implanted-Ion 8Li β-NMR
Derek Fujimoto,Ryan M. L. McFadden,M. H. Dehn,Yael Petel,Aris Chatzichristos,Lars Hemmingsen,Victoria L. Karner,Robert F. Kiefl,C. D. Philip Levy,Iain McKenzie,Iain McKenzie,Carl A. Michal,Gerald D. Morris,Matthew Pearson,Daniel Szunyogh,John O. Ticknor,Monika Stachura,W. Andrew MacFarlane,W. Andrew MacFarlane +18 more
TL;DR: In this paper, the authors demonstrate the application of implanted-ion β-detected NMR as a probe of ionic liquid molecular dynamics through the measurement of 8Li spin-lattice relaxation (SLR) and resonance in 1-ethyl-3-methylimidazolium acetate.
Journal ArticleDOI
Probing Purcell enhancement in plasmonic nanoantennas by broadband luminescent Si quantum dots
TL;DR: In this paper, the authors proposed a method to quantitatively measure the performance of plasmonic substrates for photoluminescence (PL) and Raman enhancements using spincoated silicon quantum dots (SiQDs).
References
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Journal ArticleDOI
Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics
Kenneth S. Cole,Robert H. Cole +1 more
TL;DR: In this paper, the locus of the dielectric constant in the complex plane was defined to be a circular arc with end points on the axis of reals and center below this axis.
Journal ArticleDOI
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.
Journal ArticleDOI
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
J G McWhirter,E R Pike +1 more
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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