DOI: https://doi.org/10.30970/jps.05.14
CONDITIONS OF THE ANOMALOUS DIFFUSION IN STOCHASTIC SYSTEMS
D. O. Kharchenko
Sumy State University
2 Ryms'kyi-Korsakov Str., Sumy, UA-40007, Ukraine
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Journal of Physical Studies 5(1), 14–18 (2001)
DOI: https://doi.org/10.30970/jps.05.14 CONDITIONS OF THE ANOMALOUS DIFFUSION IN STOCHASTIC SYSTEMSD. O. Kharchenko
Sumy State University |
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A system with a probability for the microscopic transition of scaling character entering the master equation is considered. We show that such a kind of approximation reduces to a fractional order the Fokker-Planck equation. It provides for the appearance of the superdiffusion conditions. Such an anomalous behaviour is explained by the fractal phase space of the system with multiplicative noise.
PACS number(s): 05.40.+j, 05.70.Fh, 64.60.-i, 82.20.Fd