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arXiv · 1111.3008

Anomalous diffusion. A competition between the very large jumps in physical and operational times

Aleksander Stanislavsky·Karina Weron
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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.

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Aleksander Stanislavsky, Karina Weron. 2011-11-13. Anomalous diffusion. A competition between the very large jumps in physical and operational times. https://doi.org/10.1103/physreve.82.051120

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