Average shape of fluctuations for subdiffusive walks

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dc.creatorYuste, Santos B.
dc.creatorAcedo, L.
dc.date2003-10-21
dc.date2004-02-19
dc.date.accessioned2026-07-07T02:54:20Z
dc.date.available2026-07-07T02:54:20Z
dc.descriptionWe 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.
dc.description4 pages, 6 figures. Accepted for publication Phys. Rev. E (Replaced for the latest version, in press.) Section II rewritten
dc.identifierhttps://arxiv.org/abs/cond-mat/0310491
dc.identifierhttp://arxiv.org/abs/cond-mat/0310491
dc.identifierPhys. Rev. E 69, 031104 (2004)
dc.identifierdoi:10.1103/PhysRevE.69.031104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22505
dc.subjectStatistical Mechanics
dc.titleAverage shape of fluctuations for subdiffusive walks
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