Anomalous diffusion. A competition between the very large jumps in physical and operational times
Statistical Mechanics
2011-11-15 v1 Data Analysis, Statistics and Probability
Abstract
In this paper we analyze a coupling between the very large jumps in physical and operational times as applied to anomalous diffusion. The approach is based on subordination of a skewed Levy-stable process by its inverse to get two types of operational time - the spent and the residual waiting time, respectively. The studied processes have different properties which display both subdiffusive and superdiffusive features of anomalous diffusion underlying the two-power-law relaxation patterns.
Cite
@article{arxiv.1111.3008,
title = {Anomalous diffusion. A competition between the very large jumps in physical and operational times},
author = {Aleksander Stanislavsky and Karina Weron},
journal= {arXiv preprint arXiv:1111.3008},
year = {2011}
}
Comments
6 pages, 3 figures; corrected version