activity
20102021
most citedFractional processes: from Poisson to branching one

94 citations · 159 across the 12 of their papers we have counts for

collaborators

12 papers

cond-mat.mes-hall2021

Electronic and thermoelectric properties of quasi-fractal carbon nitride nanoribbons

R. T. Sibatov, Alireza Khalili Golmankhaneh, R. M. Meftakhutdinov +2

Recent works devoted to the synthesis of artificial molecular systems with quasi-fractal geometry provide new opportunities for the experimental study of electronic properties in a…

cond-mat.dis-nn2021

Phase-field model of ion transport and intercalation in lithium-ion battery

Pavel E. L'vov, Mikhail Yu. Tikhonchev, Renat T. Sibatov

The unified 3D phase-field model for the description of the lithium-ion cell as a whole is developed. The model takes into account the realistic distribution of particles in porous…

cond-mat.mes-hall2020★ 21 cited

Graphenylene nanoribbons: electronic, optical and thermoelectric properties from first-principles calculations

Ruslan M. Meftakhutdinov, Renat T. Sibatov, Aleksey I. Kochaev

Recently synthesized two-dimensional graphene-like material referred to as graphenylene is a semiconductor with a narrow direct bandgap that holds great promise for nanoelectronic…

astro-ph.HE2017★ 3 cited

Calculations of CR energy spectra within the NoRD model

Vladimir Uchaikin, Renat Sibatov

Energy spectra of galactic cosmic rays calculated within the framework of the NoRD (nonlocal relativistic diffusion) model are presented. The model accounts for the turbulent chara…

cond-mat.dis-nn2013

Transient processes in disordered semiconductor structures under dispersive transport conditions: Fractional calculus approach

Renat T. Sibatov, Vladimir V. Uchaikin

We continue to develop a new approach to description of charge kinetics in disordered semiconductors. It is based on fractional diffusion equations. This article is devoted to tran…

astro-ph.GA2012★ 5 cited

Leaky-box approximation to the fractional diffusion model of cosmic rays

V. V. Uchaikin, R. T. Sibatov, V. V. Saenko

Two models of anomalous diffusion of cosmic ray in the leaky-box approximation are compared: one of them is based on the decoupled time-space Lévy flights and the other on fraction…

astro-ph.GA2011★ 2 cited

Cosmic ray propagators in the fractional differential model of bounded anomalous diffusion

Vladimir V. Uchaikin, Renat T. Sibatov

Fractional differential approach to cosmic ray physics problems is discussed. A short review in this field is given, some results are represented, analyzed and criticized. A new mo…

physics.plasm-ph2010★ 1 cited

Fractional Boltzmann equation for resonance radiation transport in plasma

Vladimir V. Uchaikin, Renat T. Sibatov

The fractional Boltzmann equation for resonance radiation transport in plasma is proposed. We start from the standard Boltzmann equation, averaging over frequencies leads to appear…

cond-mat.other2010★ 14 cited

Fractional relaxation and wave equations for dielectrics characterized by the Havriliak-Negami response function

Renat T. Sibatov, Dmitry V. Uchaikin

A fractional relaxation equation in dielectrics with response function of the Havriliak-Negami type is derived. An explicit expression for the fractional operator in this equation…

cond-mat.dis-nn2010★ 19 cited

Truncated Levy statistics for transport in disordered semiconductors

Renat T. Sibatov, Vladimir V. Uchaikin

Probabilistic interpretation of transition from the dispersive transport regime to the quasi-Gaussian one in disordered semiconductors is given in terms of truncated Levy distribut…

cond-mat.stat-mech2010★ 94 cited

Fractional processes: from Poisson to branching one

Vladimir V. Uchaikin, Dexter O. Cahoy, Renat T. Sibatov

Fractional generalizations of the Poisson process and branching Furry process are considered. The link between characteristics of the processes, fractional differential equations a…

cond-mat.dis-nn2010

Statistical model of charge transport in colloidal quantum dot array

Renat T. Sibatov

A new statistical model of charge transport in colloidal quantum dot arrays is proposed. It takes into account Coulomb blockade forbidding multiple occupancy of nanocrystals and in…