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Vol 43, No 4 (2017)

Oscillations and Waves in Plasma

Nonlinear propagation of ion-acoustic waves through the Burgers equation in weakly relativistic plasmas

Hafez M.G., Talukder M.R., Hossain Ali M.

Abstract

The Burgers equation is obtained to study the characteristics of nonlinear propagation of ionacoustic shock, singular kink, and periodic waves in weakly relativistic plasmas containing relativistic thermal ions, nonextensive distributed electrons, Boltzmann distributed positrons, and kinematic viscosity of ions using the well-known reductive perturbation technique. This equation is solved by employing the (G'/G)-expansion method taking unperturbed positron-to-electron concentration ratio, electron-to-positron temperature ratio, strength of electrons nonextensivity, ion kinematic viscosity, and weakly relativistic streaming factor. The influences of plasma parameters on nonlinear propagation of ion-acoustic shock, periodic, and singular kink waves are displayed graphically and the relevant physical explanations are described. It is found that these parameters extensively modify the shock structures excitation. The obtained results may be useful in understanding the features of small but finite amplitude localized relativistic ion-acoustic shock waves in an unmagnetized plasma system for some astrophysical compact objects and space plasmas.

Plasma Physics Reports. 2017;43(4):499-509
pages 499-509 views

Nonlinear heavy-ion-acoustic waves in an adiabatic collisionless Bi-ion plasma

Hossen M.A., Rahman M.M., Hossen M.R., Mamun A.A.

Abstract

The basic properties of heavy-ion-acoustic (HIA) waves have been investigated in a collisionless plasma system which is supposed to be composed of nonthermal electrons, Boltzmann distributed light ions, and adiabatic positively charged inertial heavy ions. The Kortewg-de Vries and Burgers equations are derived in nonplanar (cylindrical and spherical) geometry by employing the standard reductive perturbation method for studying the basic features (viz. amplitude, phase speed, etc.) of HIA solitary and shock waves, which are associated with either positive or negative potential. It is found that the effects of nonplanar geometry, adiabaticity of positively charged inertial heavy ions, the presence of nonthermal (Cairns distributed) electrons, and number densities of the plasma components significantly modify the basic features of nonplanar HIA waves. It has been observed that the properties of solitary and shock waves associated with HIA waves in a nonplanar geometry differ from those in a planar geometry. The implications of our results may be helpful in understanding the electrostatic perturbations in various laboratory and astrophysical plasma environments.

Plasma Physics Reports. 2017;43(4):464-471
pages 464-471 views

Tokamaks

Turbulent-convective block for the ASTRA transport code

Dnestrovskij A.Y., Pastukhov V.P., Chudin N.V.

Abstract

A physical model for the enhanced transport code is presented, which explicitly takes into account the contribution of turbulent convection to the processes of particle and heat transport in the hot core of the tokamak plasma. The model is based on the specially developed CONTRA-A turbulent block, while an adapted version of the existing ASTRA transport code is used as a transport envelope. The CONTRA-A turbulent block, based on the adiabatically reduced quasi-2D magnetohydrodynamic equations, calculates the generation and self-consistent evolution of low-frequency turbulence, including the spatiotemporal structure of turbulent fluctuations of the plasma velocity, density, and temperatures of electrons and ions. Using the obtained data on fluctuations, the CONTRA-A block calculates the turbulent-convective particle and heat fluxes and transfers them to the modified ASTRA code, which computes the evolution of quasi-equilibrium plasma parameters. To illustrate the capabilities of the enhanced transport model, the results of simulations of turbulent plasma evolution in two discharge scenarios with nonstationary auxiliary plasma heating in the T-10 and T-15MD tokamaks are presented.

Plasma Physics Reports. 2017;43(4):405-421
pages 405-421 views

Characteristics of major plasma discharge disruption in the Globus-M spherical tokamak

Sakharov N.V., Gusev V.K., Iblyaminova A.D., Kavin A.A., Kamenshchikov S.N., Kurskiev G.S., Lobanov K.M., Mineev A.B., Patrov M.I., Petrov Y.V., Tolstyakov S.Y.

Abstract

The characteristics of the major disruption of plasma discharges in the Globus-M spherical tokamak are analyzed. The process of current quench is accompanied by the loss of the vertical stability of the plasma column. The plasma boundary during the disruption is reconstructed using the algorithm of movable filaments. The plasma current decay is preceded by thermal quench, during which the profiles of the temperature and electron density were measured. The data on the time of disruption, the plasma current quench rate, and the toroidal current induced in the tokamak vessel are compared for hydrogen and deuterium plasmas. It is shown that the disruption characteristics depend weakly on the ion mass and the current induced in the vessel increases with the disruption time. The decay rate of the plasma toroidal magnetic flux during the disruption is determined using diamagnetic measurements. Such a decay is a source of the poloidal current induced in the vessel; it may also cause poloidal halo currents.

Plasma Physics Reports. 2017;43(4):422-432
pages 422-432 views

Hamiltonian formalism in the problem on the modification of the current density profile during the development of tearing instability in a tokamak

Skovoroda A.A.

Abstract

The formation of a magnetic island as a result of tearing instability can be interpreted as the bifurcation of an axisymmetric equilibrium configuration at which nested magnetic surfaces are preserved. The modification of the current density profile due to such bifurcation is studied using the Hamiltonian formalism. In the case of a long narrow island, the gradient profile changes to a profile with an extremum on the axis of the magnetic island.

Plasma Physics Reports. 2017;43(4):433-438
pages 433-438 views

Stellarators

Determination of the power absorbed during plasma ECR heating from diamagnetic measurements

Kovrizhnykh L.M.

Abstract

Probable reasons are discussed why the absorbed energy determined from diamagnetic measurements in experiments on electron cyclotron resonance plasma heating is less than the input microwave energy.

Plasma Physics Reports. 2017;43(4):439-443
pages 439-443 views

Plasma Dynamics

Study of the expansion dynamics of the plasma of a thin aluminum foil under the action of soft X-ray emission

Mitrofanov K.N., Aleksandrov V.V., Grabovski E.V., Gritsuk A.N., Frolov I.N., Branitsky A.V., Laukhin Y.N.

Abstract

Results are presented from experiments on the irradiation of thin aluminum foils by an intense soft X-ray (SXR) source on the basis of the Z-pinch formed during the implosion of a tungsten wire array at the Angara-5-1 facility. The state of the foil target is examined by taking two-dimensional X-ray frames. The expansion velocity of the plasma formed under the action of pulsed SXR emission on the front (irradiated) and back sides of the foil and the glow intensity of aluminum plasma on the back side are found from the spatial distribution of the radiation intensity of the plasma of the irradiated foil. The time at which the foil plasma becomes transparent to Z-pinch radiation is determined from the increase in the intensity of transmitted SXR emission.

Plasma Physics Reports. 2017;43(4):444-457
pages 444-457 views

Magnetic susceptibility and Landau diamagnetism of quantum collisional plasma

Latyshev A.V., Yushkanov A.A.

Abstract

Quantum collisional plasma with an arbitrary degree of degeneracy of the electron gas is considered. Using the exact expression for the transverse electric conductivity of quantum collisional plasma, the magnetic susceptibility is described using the kinetic approach and a formula for calculating Landau diamagnetism is derived. Quantum Maxwellian plasma is considered as a special case. To this end, in the formulas derived, the limit is taken for the chemical potential tending to minus infinity. The properties of the magnetic susceptibility of quantum plasma are compared to those of degenerate and Maxwellian plasmas.

Plasma Physics Reports. 2017;43(4):458-463
pages 458-463 views

Plasma Diagnostics

Specificity of probe measurements in diffuse plasmas of dense gases in strong electric fields

Akishev Y.S., Medvedev M.A., Napartovich A.P., Petryakov A.V., Trushkin N.I., Shafikov A.G.

Abstract

The article is devoted to extending the applicability of the probe diagnostics to the range of higher pressures of the plasma-forming gas by taking into account the effect of the probe shadow on the anode. The probe current–voltage characteristic in the diffuse plasma of a dense gas in a strong electric field was measured, and the influence of the probe potential and probe current on the dimensions of the probe shadow on the anode was studied experimentally. The experiments were carried at different currents of a steady-state glow discharge and different velocities of the gas flow through the discharge. The plasma-forming gas was nitrogen at a pressure of P = 100 Torr.

Plasma Physics Reports. 2017;43(4):472-479
pages 472-479 views

Plasma diagnostics from intensities of resonance line series of He-like ions

Ryazantsev S.N., Skobelev I.Y., Faenov A.Y., Grum-Grzhimailo A.N., Pikuz T.A., Pikuz S.A.

Abstract

The possibility of using the relative intensities of the 1snp1P1–1s21S0 transitions with n = 3–6 in He-like multicharged ions to diagnose plasma in a nonstationary ionization state is considered. The calculations performed for F VIII ions show that, at electron temperatures of Te = 10–100 eV, the intensity ratios are sensitive to the plasma electron density in the range of Ne = 1016–1020 cm–3. The universal calculated dependences can be used to diagnose various kinds of recombining or ionizing plasmas containing such ions.

Plasma Physics Reports. 2017;43(4):480-485
pages 480-485 views

Plasma Accelerators

On the longitudinal distribution of electric field in the acceleration zones of plasma accelerators and thrusters with closed electron drift

Kim V.P.

Abstract

The long-term experience in controlling the electric field distribution in the discharge gaps of plasma accelerators and thrusters with closed electron drift and the key ideas determining the concepts of these devices and tendencies of their development are analyzed. It is shown that an electrostatic mechanism of ion acceleration in plasma by an uncompensated space charge of the cloud of magnetized electrons “kept” to the magnetic field takes place in the acceleration zones and that the electric field distribution can be controlled by varying the magnetic field in the discharge gap. The role played by the space charge makes the mechanism of ion acceleration in this type of thrusters is fundamentally different from the acceleration mechanism operating in purely electrostatic thrusters.

Plasma Physics Reports. 2017;43(4):486-498
pages 486-498 views

Applied Physics

On the role of electron impact in an atmospheric-pressure microwave discharge in liquid n-heptane

Lebedev Y.A., Tatarinov A.V., Epstein I.L.

Abstract

The role of electron impact in the dissociation of n-heptane in an atmospheric-pressure microwave discharge in liquid n-heptane was investigated using a self-consistent two-dimensional model. The model includes the Navier–Stokes equations for a two-phase subsonic flow of incompressible liquid and compressible gas, the heat conduction equation, Maxwell’s equations for the microwave field, the Boltzmann equation for plasma electrons, and the balance equations for the electron density and weight fraction of n-heptane in the gaseous and liquid phases. It is shown that the effect of electron impact is negligible at times longer than 10–3 s.

Plasma Physics Reports. 2017;43(4):510-513
pages 510-513 views

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