2024-03-28T15:50:10Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/255062016-02-16T07:20:31Zcom_10261_2855com_10261_4col_10261_2857
Sokolov, Igor M.
Heinsalu, Els
Hänggi, Peter
Goychuk, Igor
2010-06-22T10:50:36Z
2010-06-22T10:50:36Z
2009-05-22
Europhysics Letters 86: 30009 (2009)
0295-5075
http://hdl.handle.net/10261/25506
10.1209/0295-5075/86/30009
Subdiffusive 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.
eng
openAccess
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
[PACS] Random walks and Levy flights
[PACS] Probability theory, stochastic processes, and statistics
Universal fluctuations in subdiffusive transport
artículo