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
Tailoring Relaxation Time Spectrum in Soft Glassy Materials
Manish Kaushal,Yogesh M. Joshi +1 more
TL;DR: In this article, a controlled deformation field was applied to tailor the rheological properties of out of equilibrium soft materials to prevent particles in an aging soft glassy material from occupying energy wells up to a certain depth.
Journal ArticleDOI
Chain Heterogeneity in Simulated Polymer Melts: NMR Free Induction Decay and Absorption Line
TL;DR: In this paper, the FID calculation for various length chains considering these peculiarities revealed in the previous article is presented. And the experimentally observed FID components are assigned to the corresponding fragments of the entangled chain, and reasons for the deviation from theoretical values defined by the chain structure are proposed.
Posted ContentDOI
Structural and mechanical remodeling of the cytoskeleton studied in 3D microtissues under acute dynamic stretch
TL;DR: A new high-throughput approach to measure the dynamic mechanical properties of cells and allow for sub-cellular imaging of physiologically relevant 3D microtissue cultures is developed, which finds that fibroblast, smooth muscle and skeletal muscle microtissues strain softened but did not fluidize, and upon loading cessation, they fully regained their initial mechanical properties.
Journal ArticleDOI
Effects of Sample Container Morphology on Agglomeration Dynamics of Magnetite Nanoparticles under Magnetic Field
Daeseong Jin,Hackjin Kim +1 more
Journal ArticleDOI
Critical behavior of trifunctional randomly branched polycyanurates
TL;DR: In this article, the behavior near the gelation threshold of trifunctional randomly branched polycyanurates is studied by static and dynamic light scattering, where the critical exponents γ, σ and η were obtained, which describe the divergence of the weight average (Mw) and the cutoff (M*) molecular weights and the radius of gyration (Rg) respectively.
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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