Subordination scenario of anomalous relaxation
Statistical Mechanics
2011-11-15 v1 Data Analysis, Statistics and Probability
Abstract
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.
Keywords
Cite
@article{arxiv.1111.3038,
title = {Subordination scenario of anomalous relaxation},
author = {Aleksander Stanislavsky and Karina Weron},
journal= {arXiv preprint arXiv:1111.3038},
year = {2011}
}
Comments
14 pages, 3 figures