Average shape of fluctuations for subdiffusive walks.
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 tablelike form as the subdiffusive character of the process increases. The theoretical predictions are compared with numerical simulation results.
Yuste
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SB
Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain. santos@unex.es
Acedo
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