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Fractional Fokker-Planck subdiffusion in alternating force fields

AuthorsHeinsalu, Els ; Patriarca, Marco ; Goychuk, Igor; Hänggi, Peter
Issue Date22-Apr-2009
PublisherAmerican Physical Society
CitationPhysical Review E Statistical Nonlinear and Soft Matter Physics 79(4): 041137-1/041137-7 (2009)
AbstractThe fractional Fokker-Planck equation for subdiffusion in time-dependent force fields is derived from the underlying continuous time random walk. Its limitations are discussed and it is then applied to the study of subdiffusion under the influence of a time-periodic rectangular force. As a main result, we show that such a force does not affect the universal scaling relation between the anomalous current and diffusion when applied to the biased dynamics: in the long-time limit, subdiffusion current and anomalous diffusion are immune to the driving. This is in sharp contrast with the unbiased case when the subdiffusion coefficient can be strongly enhanced, i.e., a zero-frequency response to a periodic driving is present.
Description7 pages, 4 figures.-- PACS number(s): 05.40.Fb, 05.60.-k, 02.50.Ey.-- ArXiv pre-print: http://arxiv.org/abs/arXiv:0902.3878v1
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.79.041137
Appears in Collections:(IFISC) Artículos
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