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

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

2011-11-13

arxiv.org/abs/1111.3008v1

Phys. Rev. E 82, 051120 (2010)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 3 figures; corrected version

Scientific paper

10.1103/PhysRevE.82.051120

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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