Tempered relaxation with clustering patterns

Aleksander Stanislavsky; Karina Weron

doi:10.1016/j.physleta.2011.10.021

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arXiv · 1111.3034

Tempered relaxation with clustering patterns

Aleksander Stanislavsky·Karina Weron

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Abstract

This work is motivated by the relaxation data for materials which exhibit a change of the relationship between the fractional power-law exponents when different relaxation peaks in their dielectric susceptibility are observed. Within the proposed framework we derive a frequency-domain relaxation function fitting the whole range of the two-power-law dielectric spectroscopy data with independent low- and high-frequency fractional exponents \gamma\ and -\alpha, respectively. We show that this effect results from a contribution of different processes. For high frequencies it is determined by random stops and movement of relaxing components, and the low-frequency slope is caused by clustering in their temporal changes.

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Aleksander Stanislavsky, Karina Weron. 2011-11-13. Tempered relaxation with clustering patterns. https://doi.org/10.1016/j.physleta.2011.10.021

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