title: Average shape of fluctuations for subdiffusive walks.
abstract: 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.
authors.affiliation: Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain. santos@unex.es
authors.forename: S B
authors.initials: SB
authors.lastname: Yuste
authors.forename: L
authors.initials: L
authors.lastname: Acedo