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
Electrical relaxation and ageing effect in AgPO3 glass
M. B. M. Mangion,G. P. Johari +1 more
TL;DR: The complex relative permittivity of silver phosphate glass has been measured in the temperature range 200-400 K, and frequency range 12-105 Hz as discussed by the authors, and two relaxation processes are observed in the electrical modulus spectrum but only the low-temperature or faster process in the loss spectrum.
Journal ArticleDOI
Effects of polydispersity on the glass transition dynamics of aqueous suspensions of soft spherical colloidal particles
TL;DR: In this article, the effects of polydispersity on the dynamics of suspensions of soft PNIPAM colloidal particles were investigated using dynamic light scattering and scanning electron microscopy (SEM).
Journal ArticleDOI
1H NMR relaxation in glycerol solutions of nitroxide radicals: effects of translational and rotational dynamics.
TL;DR: It has been demonstrated that neglecting the rotational effects on the inter-molecular interactions leads to non-realistic conclusions regarding the translational dynamics of the paramagnetic molecules.
Journal ArticleDOI
Rotational relaxation in ortho-terphenyl: using atomistic simulations to bridge theory and experiment.
Michael P. Eastwood,Tarun Chitra,John M. Jumper,Kim Palmo,Albert C. Pan,David E. Shaw,David E. Shaw +6 more
TL;DR: The nature of the glass transition is a fundamental challenge in physical science and understanding the dynamics and eventual emergence of a disordered solid from a cooling liquid is a major challenge.
Journal ArticleDOI
Deuteron nuclear magnetic resonance study of high-pressure effects on the molecular dynamics in amorphous polyethylene
A.S. Kulik,K.O. Prins +1 more
TL;DR: In this paper, the effect of high pressure up to 2500 bar on the chain motion in amorphous chain-deuterated polyethylene is studied in a wide range of temperature (203 −393 K) using the deuteron nuclear magnetic resonance (2H n.m.r.) quadrupole echo and spin alignment echo technique.
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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