Subordination scenario of anomalous relaxation
Abstract
The non-exponential relaxation is shown to result from subordination by inverse tempered α-stable processes. The main feature of tempered α-stable processes is a finiteness of their moments, and the class of random processes includes ordinary α-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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