Subordination scenario of anomalous relaxation

Details Subordination scenario of anomalous relaxation Subordination scenario of anomalous relaxation

2011-11-13

arxiv.org/abs/1111.3038v1

Physics Letters A 373, 2520(2009)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 3 figures

Scientific paper

10.1016/j.physleta.2009.05.027

The non-exponential relaxation is shown to result from subordination by inverse tempered \alpha-stable processes. The main feature of tempered \alpha-stable processes is a finiteness of their moments, and the class of random processes includes ordinary \alpha-stable processes as a particular case. Starting with the Cole-Cole response this subordination approach establishes its direct link with the Cole-Davidson law. We derive the relaxation function describing the tempered relaxation. The meaning of the empirical response function is clarified.

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