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Average Shape of Fluctuations for Subdiffusive Walks by Yuste, Santos B.; Acedo, L. is a scholarly article available to read on EtoBox.

What is Average Shape of Fluctuations for Subdiffusive Walks about?

We study the average shape of fluctuations for subdiffusive processes, i.e., processes with uncorrelated increments but where the waiting time distribution has a broad power-law tail. This shape is obtained analytically by means of a fractional diffusion approach. We find that, in contrast with processes where the waiting time between increments has finite variance, the fluctuation shape is no longer a semicircle: it tends to adopt a table-like form as the subdiffusive character of the process increases. The theoretical predictions are compared with numerical simulation results.

Author

Yuste, Santos B.; Acedo, L.

Published

2003

Language

EN