arXiv subjects

B. Atamaniuk

Publications and source records attributed to B. Atamaniuk.

6 recordsLinked to original sources

arXiv2008

Reduced nonlinear description of Farley-Buneman instability

In the study on nonlinear wave-wave processes in an ionosphere and a magnetosphere usually the main attention is paid to investigation of plasma turbulence at well developed stage, when the wide spectrum of plasma wave is present. On the other side, it is well known that even if the number of cooperating waves remains small due to a competition of processes of their instability and attenuation, the turbulence appears in the result of their stochastic behavior. The regimes of nonlinear dynamics of low frequency waves excited due to Farley-Buneman instability in weakly ionized and inhomogeneous ionospheric plasma in the presence of electric current perpendicular to ambient magnetic field are considered. The problem is essentially three dimensional and difficult for full numerical simulation, but the strong collisional damping of waves allow to assume that in this case a perturbed state of plasma can be described as finite set of interacting waves, some of which are unstable and other strongly damping. The proposed nonlinear model allow to make full study of nonlinear stabilization, conditions of stochasticity and to consider the different regimes and properties of few mode plasma turbulence.

physics.plasm-ph↗

arXiv2007

Charge Fluctuation of Dust Grain and Its Impact on Dusty-Acoustic Wave Damping

We consider the influence of dust charge fluctuations on damping of the dust-ion-acoustic waves. It is assumed that all grains have equal masses but charges are not constant in time - they may fluctuate in time. The dust charges are not really independent of the variations in the plasma potentials. All modes will influence the charging mechanism, and feedback will lead to several new interesting and unexpected phenomena. The charging of the grains depends on local plasma characteristics. If the waves disturb these characteristic, then charging of the grains is affected and the grain charge is modified, with a resulting feedback on the wave mode. In the case considered here, when the temperature of electrons is much greater than the temperature of the ions and the temperature of electrons is not great enough for further ionization of the ions, we show that attenuation of the acoustic wave depends only on one phenomenological coefficient

physics.plasm-ph↗

arXiv2004

Two-Ion Dusty Plasma Waves and Landau Damping

The paper analyses the properties of dusty plasmas in the extreme conditions when the free electrons are absent. The nonlinear Korteveg de Vries equation with a nonlocal (integral) term in a small parameter approximation is derived. The conditions are determined when the integral term is essential hence the Landau damping of two-ion-dusty plasma waves is substantial.

nlin.PS↗

arXiv2004

Electromagnetic diffraction on a moving half-plane

A problem of electromagnetic (EM) plane wave diffraction on a moving half-plane in a homogeneous and isotropic medium is considered. It is shown, that unlike the stationary case, the shadow boundaries of the incident and reflected wave are not parallel to propagation directions of those waves. Other diffraction phenomena reported earlier for objects with moving edges, are also observed here.

math-ph↗

arXiv2003

Non-Linear Phenomena in Dusty Plasmas

The main objective of the paper is to determine asymptotic solutions to the initial-value conditions for Vlasov-Ampere/Gauss system of equations that is to find the "far field" solutions. Next, we determine dispersion relations for longitudinal waves (DAW and DIAW) by use of the linearized Vlasov equations. In case of simplified equilibrium velocity distributions but for fully nonlinear plasmas, we determine velocity distributions and by use of Sagdeev potential equations, we compute the solitary and double layer structures for a set of dusty plasma parameters. By use of Sagdeev potential, we determine the electrical capacity of plasma double layers.

physics.plasm-ph↗

arXiv2002

Fractional Derivative Analysis of Helmholtz and Paraxial-Wave Equations

Fundamental rules and definitions of Fractional Differintegrals are outlined. Factorizing 1-D and 2-D Helmholtz equations four fractional eigenfunctions are determined. The functions exhibit incident and reflected plane waves as well as diffracted incident and reflected waves of the half-plane edge. They allow to construct the Sommerfeld half-plane diffraction solutions. Parabolic-Wave Equation (PWE, Leontovich-Fock) for paraxial propagation is factorized and differetial fractional solutions of Fresnel-integral type are derived. We arrived at two solutions, which are the mothers of known and new solutions.

physics.optics↗