76 citations · 126 across the 10 of their papers we have counts for
11 papers
Nanostructured Electrodes as Random Arrays of Active Sites: Modeling and Theoretical Characterization
Alexander Oleinick, Oleksii Sliusarenko, Irina Svir +1
This review presents the main principles underlying the theoretical description of the behavior of regular and random arrays of nanometric active sites. It is further shown how the…
Finite-energy Lévy-type motion through heterogeneous ensemble of Brownian particles
Oleksii Yu. Sliusarenko, Silvia Vitali, Vittoria Sposini +4
Complex systems display anomalous diffusion, whose signature is a space/time scaling with in the Probability Density Function (PDF). Anomalous diffusion can…
Langevin equation in complex media and anomalous diffusion
Silvia Vitali, Vittoria Sposini, Oleksii Sliusarenko +3
The problem of biological motion is a very intriguing and topical issue. Many efforts are being focused on the development of novel modeling approaches for the description of anoma…
Centre-of-mass like superposition of Ornstein-Uhlenbeck processes: a pathway to non-autonomous stochastic differential equations and to fractional diffusion
Mirko D'Ovidio, Silvia Vitali, Vittoria Sposini +4
We consider an ensemble of Ornstein-Uhlenbeck processes featuring a population of relaxation times and a population of noise amplitudes that characterize the heterogeneity of the e…
Reduced description method in the kinetic theory of Brownian motion with active fluctuations
Yu. V. Slyusarenko, O. Yu. Sliusarenko, A. V. Chechkin
We develop a microscopic approach to the kinetic theory of many-particle systems with dissipative and potential interactions in presence of active fluctuations. The approach is bas…
Ab initio quantum-statistical approach to kinetic theory of low-temperature dilute gases of hydrogen-like atoms
Yu. V. Slyusarenko, O. Yu. Sliusarenko
We develop a microscopic approach to the consistent construction of the kinetic theory of dilute weakly ionized gases of hydrogen-like atoms. The approach is based on the framework…
The BBGKY Hierarchy and Fokker-Planck Equation for Many-Body Dissipative Randomly Driven Systems
Oleksii Sliusarenko, Alexei Chechkin, Yurii Slyusarenko
By generalizing Bogolyubov's reduced description method, we suggest a formalism to derive kinetic equations for many-body dissipative systems in external stochastic field. As a sta…
Stationary States in Bistable System Driven by Lévy Noise
O. Yu. Sliusarenko, D. A. Surkov, V. Yu. Gonchar +1
We study the properties of the probability density function (PDF) of a bistable system driven by heavy tailed white symmetric Lévy noise. The shape of the stationary PDF is found a…
Generalized Fokker-Planck equation and its solution for linear non-Markovian Gaussian systems
O. Yu. Sliusarenko
In this paper we suggest a consistent approach to derivation of generalized Fokker-Planck equation (GFPE) for Gaussian non-Markovian processes with stationary increments. This appr…
Kramers escape driven by fractional Brownian motion
Oleksii Yu. Sliusarenko, Vsevolod Yu. Gonchar, Aleksei V. Chechkin +2
We investigate the Kramers escape from a potential well of a test particle driven by fractional Gaussian noise with Hurst exponent 0<H<1. From a numerical analysis we demonstrate t…
Barrier crossing driven by Levy noise: Universality and the Role of Noise Intensity
Aleksei V. Chechkin, Oleksii Yu. Sliusarenko, Ralf Metzler +1
We study the barrier crossing of a particle driven by white symmetric Levy noise of index and intensity $DD for three different generic types of potentials: (a) a bistable pote…