On the Cole-cole Relaxation Function and Related Mittag-leeer Distribution

Random Walk Approach to Relaxation in Disordered Systems

A detailed study of the limiting probability distributions of R(t) | the location at time t | for one-dimensional random walks with waiting-time distributions having long tails, is presented. Equivalently, R(t) is the random sum of iid random variables. In the framework of the random walk approach the nonexponential character of relaxation as a function of time, given by the tail of the Mittag-...

Mittag-leeer Type Functions: Notes on Growth Properties and Distribution of Zeros

Integral representations, asymptotic behaviour and distribution of zeros for classical Mittag-Leeer functions as well as for the functions of Mittag-Leeer type are discussed. They are obtained by diierent approaches. Special attention is paid to the questions of growth regularity of these functions.

Bayesian inference of the Cole–Cole parameters from time- and frequency-domain induced polarization

The inversion of induced-polarization parameters is important in the characterization of the frequency electrical response of porous rocks. A Bayesian approach is developed to invert these parameters assuming the electrical response is described by a Cole–Cole model in the time or frequency domain. We show that the Bayesian approach provides a better analysis of the uncertainty associated with ...

LDPE and poly(1-butene) blends: Morphology, crystallinity and rheological properties

In this work, the compatibility and crystallinity of low density polyethylene (LDPE) and polybutene-1 (PB-1) blends were studied. Various blends of LDPE/PB-1 containing 5, 10 and 20 wt.% PB-1 were prepared in a corotating twin-screw extruder and characterized by scanning electron microscopy (SEM), shear oscillation rheology and wide-angle X-ray diffractometry (WAXD). A matrix-droplet morphology...

Compaction of quartz sands by pressure solution using a Cole-Cole distribution of relaxation times