Tempered relaxation with clustering patterns

Details Tempered relaxation with clustering patterns Tempered relaxation with clustering patterns

2011-11-13

arxiv.org/abs/1111.3034v1

Physics Letters A 375, 4244(2011)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 figures, 2 tables

Scientific paper

10.1016/j.physleta.2011.10.021

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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