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Universal fluctuations in subdiffusive transport

AuthorsSokolov, Igor M.; Heinsalu, Els ; Hänggi, Peter; Goychuk, Igor
Keywords[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
[PACS] Random walks and Levy flights
[PACS] Probability theory, stochastic processes, and statistics
Issue Date22-May-2009
PublisherEDP Sciences
CitationEurophysics Letters 86: 30009 (2009)
AbstractSubdiffusive transport in tilted washboard potentials is investigated within the fractional Fokker-Planck equation approach by making reference to the associated continuous time random walk (CTRW) framework. The scaled subvelocity is shown to obey a universal law. The latter is defined by the index of subdiffusion α and the mean subvelocity only. Interestingly this law depends neither on the size of the system or measurement time, nor on the bias strength or on the specific form of the washboard potential. These scaled, universal subvelocity fluctuations emerge due to the weak ergodicity breaking and are vanishing in the limit of normal diffusion. The results of the analytical reasoning are corroborated by Monte Carlo simulations of the underlying CTRW.
DescriptionArXiv pre-print: http://arxiv.org/abs/0811.4738. 6 pages, 3 figures.-- PACS nrs.: 05.40.-a; 05.40.Fb; 02.50.-r.
Publisher version (URL)http://dx.doi.org/10.1209/0295-5075/86/30009
Appears in Collections:(IFISC) Artículos
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