Journal
JOURNAL OF NON-CRYSTALLINE SOLIDS
Volume 305, Issue 1-3, Pages 81-87Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0022-3093(02)01124-9
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We present a generalisation of the classical exponential relaxation based on the fractional Fokker-Planck equation framework. We show how fractional dynamics modifies the Brownian dynamics underlying standard relaxation processes, and gives rise to the Mittag-Leffler relaxation of modes and moments. The latter is characterised through a turnover from an initial stretched exponential to a final inverse power-law pattern and the associated complex susceptibility corresponds to the Cole-Cole pattern. (C) 2002 Published by Elsevier Science B.V.
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