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
Blue Phase III: Topological Fluid of Skyrmions
Jaka Pišljar,S. Ghosh,Srikanth Turlapati,Nihal Rao,Miha Škarabot,Alenka Mertelj,A. N. Petelin,A. Nych,Matevž Marinčič,Anja Pusovnik,Miha Ravnik,Igor Muševič +11 more
TL;DR: Optical microscopy reveals that blue phases (molecularly ordered liquids)consist of filaments with vortexlike cross sections known as skyrmions, whirls in a material, with possible information storage applications as mentioned in this paper .
Journal ArticleDOI
Anharmonicity and fragility in semi-interpenetrating polymer networks
Giuseppe Carini,Giovanna D'Angelo,Gaspare Tripodo,Antonino Bartolotta,G. Di Marco,Valery P. Privalko +5 more
TL;DR: In this paper, two series of semi-interpenetrating polymer networks (semi-IPN) based on the same linear polyurethane and two different heterocyclic polymer networks were characterized in terms of the complex dynamic modulus and the mechanical loss tangent, measured between 150 and 500 K at a frequency varying in the range between 0.3 and 30 Hz.
Journal ArticleDOI
Glass transition in an elastohydrodynamic lubrication: A quasielastic light scattering approach
P. Bezot,C. Hesse‐Bezot +1 more
TL;DR: In this article, a study of the infinite frequency longitudinal modulus M∞ of 5P4E benzene as a function of pressure, by means of the Brillouin light scattering technique, through the glass transition, is presented to make measurements in different compression kinetics.
Journal ArticleDOI
Anharmonic and relaxation effects in polymer electrolytes with singly charged cations
TL;DR: In this paper, a short review of the structural phase behavior of polymer electrolytes based on complexes of poly(ethylene) oxide (PEO) and alkaline metal salts is presented.
Journal ArticleDOI
Lagrangian and Impedance-Spectroscopy Treatments of Electric Force Microscopy
TL;DR: In this article, the authors conduct a rigorous analysis of the coupled electromechanical motion of cantilever position and sample charge during an electrostatic force microscope experiment, and their results should inspire researchers to rethink such experiments, and reconsider what the resulting data are telling them about charge motion in their materials.
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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