Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region

Details Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region

2004-03-09

arxiv.org/abs/cond-mat/0403242v1

Journal of Applied Physics -- March 15, 2004 -- Volume 95, Issue 6, pp. 3131-3140

Physics

Condensed Matter

Soft Condensed Matter

11 pages 11 figures and 2 tables

Scientific paper

10.1063/1.1650888

In this paper, a recently developed numerical technique [{\em Tuncer E and Guba{\'n}ski S M, IEEE Trans Diel El Insul {\bf 8}(3)(2001) 310-320}] is applied to poly(propylene glycol) complex dielectric data to extract more information about the molecular relaxation processes. The method is based on a constrained-least-squares (\clsq) data fitting procedure together with the Monte Carlo (\mc) method. We preselect the number of relaxation times with no {\em a-priori} physical assumption, and use the Debye single relaxation as ``kernel'', then the obtained weighting factors at each \mc step from the \clsq method builds up a relaxation time spectrum. When the analysis is repeated for data at different temperatures a {\em relaxation-image} is created. The obtained relaxation are analyzed using the Lorentz (Cauchy) distribution, which is a special form of the L{\'e}vy statistics. In the present report the $\beta$ and $\alpha$ relaxations are resolved for the \ppg. A comparison of the relaxations to those earlier reported in the literature indicate that the presented method provides additional information compared to methods based on empirical formulas. The distribution of relaxation times analysis is especially useful to probe the crossover region where the $\alpha$- and $\beta$- relaxations merge and the results show that the relaxation after the crossover region at higher temperatures is Arrhenius-type as the $\beta$-relaxation. Moreover, this relaxation is more likely to be the continuation of the $\beta$-relaxation, but with a different activation energy.

Affiliated with

Also associated with

No associations

Rating

Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Resolving distribution of relaxation times in Poly(propylene glycol) on the crossover region will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180495