After a short excursion from the discovery of Brownian motion to the Richardson" law of four
thirds" in turbulent diffusion, the article introduces the Lévy flight superdiffusion as a self …

Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

For both Lévy flight and Lévy walk search processes we analyse the full distribution of first-
passage and first-hitting (or first-arrival) times. These are, respectively, the times when the …

We propose a threshold detector for Lévy-distributed fluctuations based on a Josephson
junction. The Lévy-noise current added to a linearly ramped bias current results in clear …

We explore the effect of noise on the ballistic graphene-based small Josephson junctions in
the framework of the resistively and capacitively shunted model. We use the non-sinusoidal …

Nonlinear relaxation phenomena in three different systems of condensed matter are
investigated.(i) First, the phase dynamics in Josephson junctions is analyzed. Specifically, a …

We numerically investigate the generation of solitons in current-biased long Josephson
junctions in relation to the superconducting lifetime and the voltage drop across the device …

Lévy flights and Lévy walks serve as two paradigms of random walks resembling common
features but also bearing fundamental differences. One of the main dissimilarities is the …

We consider a model of a stepping molecular motor consisting of two connected heads.
Directional motion of the stepper takes place along a one-dimensional track. Each head is …

We consider a Lotka-Volterra system of two competing species subject to multiplicative α-
stable Lévy noise. The interaction parameter between the species is a random process …