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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Fabrication of well-defined block copolymer nano-cylinders by controlling the thermodynamics and kinetics involved in block copolymer self-assembly
Dae Up Ahn,Erol Sancaktar +1 more
TL;DR: The fabrication strategy using the simple blending of a blockCopolymer with its homopolymer at an appropriate molecular weight creates new opportunities for the fabrication of low-cost and high-throughput nanostructured block copolymer materials with highly controlled 3-dimensional nanopatterns.
Journal ArticleDOI
Plasmon-Enhanced Emission Rate of Silicon Nanocrystals in Gold Nanorod Composites
Hiroshi Sugimoto,Hiroshi Sugimoto,Tianhong Chen,Ren Wang,Minoru Fujii,Björn M. Reinhard,Luca Dal Negro +6 more
TL;DR: In this paper, a colloidal nanocomposites consisting of coupled light-emitting Si nanocrystals (NCs) and Au nanorods was developed, which demonstrate significant enhancement of spontaneous emission rate with suppressed nonradiative quenching.
Journal ArticleDOI
Molecular-dynamics near the glass-transition - a 2-dimensional c-13 nmr-study of 1,3,5-tri-alpha-naphthylbenzene
TL;DR: In this paper, two-dimensional 13C exchange spectra were taken between 347 and 372 K to investigate the time scale and the geometry of rotational motions near the glass transition of the low-molar-mass van der Waals glass former 1,3,5-tri-α-naphthylbenzene (T g = 342 K).
Journal ArticleDOI
Kinetics of the coil-globule transition of poly(methyl methacrylate) in a mixed solvent
TL;DR: The coil−globule transition and chain collapse process were studied for poly(methyl methacrylate) in the mixed solvent tert-butyl alcohol + water by static light-scattering measurements and the stretched exponential process was suggested to be intrinsic to each polymer chain.
Journal ArticleDOI
Broadband enhancement of local density of states using silicon-compatible hyperbolic metamaterials
Yu Wang,Hiroshi Sugimoto,Hiroshi Sugimoto,Sandeep Inampudi,Antonio Capretti,Minoru Fujii,Luca Dal Negro +6 more
TL;DR: In this paper, light emitting silicon quantum dots by colloidal synthesis were uniformly spin-coated into a 20nm-thick film and deposited atop a hyperbolic metamaterial of alternating TiN and SiO2 subwavelength layers using steady-state and time-resolved photoluminescence spectroscopy as a function of the emission wavelength in partnership with rigorous electromagnetic modeling of dipolar emission.
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
TL;DR: In this paper, a method was developed to determine the kinetic parameters controlling structural relaxation in the glass transition region from data acquired during continuous heating or cooling, where the data were linearized using the method of Narayanaswamy, and the continuous temperature variation during heating and cooling was dealt with by invoking the superposition principle.
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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