Volgograd Institute of Business

Volgograd, Russia

Volgograd Institute of Business

Volgograd, Russia
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Sudorgin S.A.,Volgograd State Technical University | Belonenko M.B.,Volgograd Institute of Business | Lebedev N.G.,Volgograd State University
Physica Scripta | Year: 2013

The diffusion and conduction electrons in a bilayer graphene ribbon in an external electric field have been calculated. The Boltzmann kinetic equation in the semi-classical approximation of the relaxation time has been used. The analytical expressions for the diffusion of electrons and its nonlinear dependence on the electric field intensity were found. These relations are constructed and analyzed for different values of the electrostatic potential between the layers of a tape. © 2013 The Royal Swedish Academy of Sciences.


Pak A.V.,Volgograd State University | Belonenko M.B.,Entropique Inc. | Belonenko M.B.,Volgograd Institute of Business
Physics of the Solid State | Year: 2013

The propagation of an ultrashort optical pulse in a multilayer structure formed by alternating graphene and boron nitride layers has been considered. Conduction electrons of this system have been described within the long-wavelength effective Hamiltonian in the case of low temperatures, and the electromagnetic field has been taken into account based on classical Maxwell's equations. The dependence of the evolution on the velocity and maximum amplitude of the ultrashort pulse has been revealed. © 2013 Pleiades Publishing, Ltd.


Yanushkina N.N.,Volgograd State University | Belonenko M.B.,Volgograd Institute of Business | Lebedev N.G.,Volgograd State University
Optics and Spectroscopy (English translation of Optika i Spektroskopiya) | Year: 2010

The Maxwell equations for an electromagnetic field propagating in graphene are considered taking into account strong Coulomb repulsion between electrons of the same site possessing opposite spin projections. The derived effective equation has the form of a classical 2D sine-Gordon equation. Electrons are treated in terms of quantum formalism with allowance for the dispersion law in the presence of Coulomb interaction. The effective equation is analyzed numerically and the effect of Coulomb repulsion is revealed. It is shown that the system in an external homogeneous electromagnetic field, with its period much shorter than the characteristic pulse length, may show the amplification of an ultimately short pulse. © 2010 Pleiades Publishing, Ltd.


Belonenko M.B.,Volgograd Institute of Business | Popov A.S.,Volgograd State University | Lebedev N.G.,Volgograd State University
Technical Physics Letters | Year: 2011

The problem of the propagation of a solitary wave-a two-dimensional analog of the so-called laser (light) bullet-in an array of carbon nanotubes with metal inhomogeneities (defects) has been considered. An effective equation for the vector potential of this wave is obtained and numerically studied. It is established that the scattering of a laser bullet on a pair of metal inhomogeneities is accompanied by characteristic "beats" of the electromagnetic field. © 2011 Pleiades Publishing, Ltd.


Konobeeva N.N.,Volgograd State University | Belonenko M.B.,Volgograd Institute of Business
Physica B: Condensed Matter | Year: 2014

The paper addresses the propagation of ultra-short optical pulses in chiral carbon nanotubes in the presence of external alternating electric field. Following the assumption that the considered optical pulses are represented in the form of discrete solitons, we analyze the wave equation for the electromagnetic field and consider the dynamics of pulses in external field, their initial amplitudes and frequencies. © 2014 Elsevier B.V.


Konobeeva N.N.,Volgograd State University | Belonenko M.B.,Volgograd Institute of Business
Physics of the Solid State | Year: 2013

The wave equation for the electromagnetic field propagating in chiral carbon nanotubes has been analyzed. The phenomenological equation similar to the sine-Gordon equation has been derived. The dynamics of the electromagnetic pulse has been investigated. © 2013 Pleiades Publishing, Ltd.


Zhukov A.V.,Singapore University of Technology and Design | Bouffanais R.,Singapore University of Technology and Design | Pak A.V.,Volgograd State University | Belonenko M.B.,Volgograd Institute of Business
Physics Letters, Section A: General, Atomic and Solid State Physics | Year: 2013

In this study we investigate the propagation of extremely short optical pulses in a thin film formed by a graphene grown on a boron nitride substrate. Conduction electrons of the system are described on the basis of the long-wavelength effective Hamiltonian in the case of low temperatures; the electromagnetic field being taken into account within the framework of the classical Maxwell equations. The time evolution of the pulse's shape for different speeds and maximum amplitudes of an extremely short pulse is analyzed. © 2013 Elsevier B.V. All rights reserved.


Belonenko M.B.,Volgograd Institute of Business | Lebedev N.G.,Volgograd State University | Popov A.S.,Volgograd State University
JETP Letters | Year: 2010

The problem of the propagation of two-dimensional solitary electromagnetic waves in an array of carbon nanotubes has been considered. The electromagnetic field and the electron system of carbon nanotubes have been treated on the basis of the Maxwell's equations and the Boltzmann kinetic equation in the relaxation-time approximation, respectively. The derived effective equation has been analyzed and the state of the electromagnetic field that is localized in two spatial dimensions has been found. © 2010 Pleiades Publishing, Ltd.


Zhukov A.V.,Singapore University of Technology and Design | Bouffanais R.,Singapore University of Technology and Design | Belonenko M.B.,Volgograd Institute of Business | Fedorov E.G.,Volgograd State University of Architecture and Civil Engineering
Modern Physics Letters B | Year: 2013

In this paper, we consider propagation of a monochromatic laser beam in an array of semiconductor carbon nanotubes. Initial distribution of the beam intensity is taken in the form of a Gaussian profile in the plane perpendicular to the wave vector. The electromagnetic field in an array of nanotubes is described by Maxwell equations, reduced to a multidimensional wave equation. With an approximation of the slowly varying amplitudes and phases, we derive the effective equation describing the time-averaged field intensity distribution of the laser beam in a medium. Numerical solution of the derived equations allows us to analyze the dependence of the diffractive spreading of the beam on its frequency and initial amplitude. Furthermore, the influence of the nanotube radius on the diffractive spreading of the laser beam is investigated. © 2013 World Scientific Publishing Company.


Belonenko M.B.,Volgograd Institute of Business | Fedorov E.G.,Volgograd State University of Architecture and Civil Engineering
Physics of the Solid State | Year: 2013

The propagation of bipolar electromagnetic pulses in an array of semiconductor carbon nanotubes has been investigated. The inhomogeneity of the pulse field along the axis of the nanotubes has been taken into account for the first time. The evolution of the electromagnetic field and charge density in the sample has been described by the set of Maxwell's equations and the continuity equation. The possibility of stable propagation of bipolar electromagnetic pulses occurring in an array of nanotubes has been demonstrated by numerical simulation. It has been shown that the propagation of the electromagnetic pulses induces the redistribution of the electron density in the sample. © 2013 Pleiades Publishing, Ltd.

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