Anomalous diffusion as a stochastic component
in the dynamics of complex processes.
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We propose an interpolation expression using the difference moment (Kolmogorov transient structural.
function) of the second order as the average characteristic of displacements for identifying the anomalous
diffusion in complex processes when the stochastic 1 dynamics of the system under study reaches a steady
state (large time intervals). Our procedure based on this expression for identifying anomalous diffusion
and calculating its parameters in complex processes is applied to the analysis of the dynamics of blinking
fluorescence of quantum dots, X-ray emission from accreting objects, fluid velocity in Rayleigh-Benard
convection, and geoelectrical signal for a seismic area. For all four examples, the proposed interpolation is
able to adequately describe the stochastic part of the experimental difference moment, which implies that
anomalous diffusion manifests itself in these complex processes. The results of this study make it possible
to broaden the range of complex natural processes in which anomalous diffusion can be identified
Публикации на близкие темы:.
http://arxiv.org/find/physics/1/au:+Timashev_S/0/1/0/all/0/1