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• W1660114984 abstract "Competition between subdiffusion and Levy flights is conveniently described by the fractional Fokker–Planck equation with temporal and spatial fractional derivatives. The equivalent approach is based on the subordinated Langevin equation with stable noise. In this paper we examine the properties of such Langevin equation with the heavy-tailed noise belonging to the class of geometric stable distributions. In particular, we consider two physically relevant examples of geometric stable noises, namely Linnik and Mittag–Leffler. We describe in detail a numerical algorithm for visualization of subdiffusion coexisting with Levy flights. Using Monte Carlo simulations we demonstrate the realizations as well as the probability density functions of the considered anomalous diffusion process." @default.
• W1660114984 created "2016-06-24" @default.
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• W1660114984 date "2008-05-01" @default.
• W1660114984 modified "2023-09-23" @default.
• W1660114984 title "CAN ONE SEE A COMPETITION BETWEEN SUBDIFFUSION AND LÈVY FLIGHTS? A CASE OF GEOMETRIC-STABLE NOISE ∗" @default.
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