Journal
PHYSICS LETTERS A
Volume 375, Issue 48, Pages 4244-4248Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2011.10.021
Keywords
Tempered alpha-stable process; Fractional two-power relaxation; Compound subordination
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Funding
- Ministry of Sciences and Higher Education [PB NN 507503539]
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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. (C) 2011 Elsevier B.V. All rights reserved.
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