Vol 50, No 8 (2024)

TOKAMAKS

Gyrokinetic calculations of heat fluxes in the T-10 tokamak ohmic discharge

Isaev M.Y., Anuaruly O., Kuyanov A.Y., Smirnov D.V.

Abstract

The results of the first gyrokinetic calculations of anomalous heat fluxes in the T-10 tokamak plasma obtained for typical conditions of a discharge No. 71568 with ohmic heating are presented. The calculations have been performed at the Kurchatov Institute Supercomputer Center. The experimentally measured electron density and temperature profiles, ion temperature profiles with a large gradient leading to the so-called ion temperature gradient (ITG) turbulence, and also the profiles of carbon and oxygen impurity densities measured using the charge exchange recombination spectroscopy (CXRS) active diagnostics are used as input data. The “experimental” electron and ion heat fluxes are estimated from the heat balance condition using the ASTRA transport code. The analytical dependence of heat fluxes on the effective plasma charge is presented. Gyrokinetic calculations of anomalous electron and ion heat fluxes are performed for the T-10 tokamak for the first time. The well-known gyrokinetic GENE code is used in the so-called linear and nonlinear approximation with fixed density and temperature gradients taking into account the influence of carbon and oxygen impurities. A linear dependence of heat fluxes on the effective plasma charge is found, and the sensitivity of the results to input parameter errors is investigated. The results of gyrokinetic calculations for the T-10 tokamak are compared with the results obtained for facilities with similar input parameters. A comparison is made of gyrokinetic calculations of heat fluxes performed using the GENE code with the results of calculations by the CONTRA-T code, intended for the self-consistent simulation of low-frequency turbulence and transport processes in tokamaks with a large aspect ratio. Good agreement obtained in the work between the results of transport calculations using the ASTRA, GENE, and CONTRA-T codes based on various transport models for the ohmic discharge of the T-10 tokamak with a circular cross section, provides grounds for the further simulation of transport processes in plasma with additional heating and a more complex cross section shape of the plasma column.

Fizika plazmy. 2024;50(8):823-841
pages 823-841 views

Diffusive-convective model of impurity transport in quasi-stationary plasma: criticism and alternative

Shurygin V.А.

Abstract

In studies of impurity transport in quasi-stationary hot plasma, the initial kinetic equation and the diffusive-convective transport model take into account ionization and recombination as “sources and sinks” of particles. Due to the incompatible representation of the radial dynamics and charge kinetics of impurity charge states, this approach and the results obtained appear to be out of system. The basis for their systematic criticism is the ideas of the theory of random processes proposed by M.A. Leontovich in 1935 as a theoretical alternative to the gas-kinetic equation. In this case, the charge-radial transport of an impurity in a quasi-stationary plasma is defined as a syncretic vector random Markov process of charge state transport. Its coupling (ergodicity) in a two-dimensional Markov system excludes “sources and sinks” from it in principle, and the relaxation convergence is directed to the formation of equilibrium invariant density profiles. The impurity equilibrium and density profiles are specified by a system of invariant functions that provide analysis of any types of density profiles observed in experiments. Modeling of radial profiles of helium, boron and carbon impurities allows us to find variants of their transformation from accumulation in the center to concentration near the plasma edge, transport coefficients and systematic connection with plasma parameters.

Fizika plazmy. 2024;50(8):842-865
pages 842-865 views

МАГНИТНЫЕ ЛОВУШКИ

Wigner function method for describing electromagnetic field in plasma-like media with spatial dispersion and resonant dissipation

Gospodchikov Е.D., Balakin A.A., Shalashov A.G.

Abstract

The paper gives a systematic presentation of the Wigner function method (Weyl formalism) for modeling the propagation and absorption of electromagnetic waves in anisotropic and gyrotropic dissipative media with spatial dispersion. A general kinetic equation for the Wigner function (tensor) is formulated, and its asymptotic expansion up to the second order for smoothly inhomogeneous and weakly dissipative media is constructed. As a result, a modification of the method of the kinetic equation for rays is proposed, based on the stochastic description of rays, making it possible to increase the accuracy of numerical modeling of wave problems with strong transverse inhomogeneity of the absorption coefficient without increasing the amount of calculations. The technique developed can be used to describe the propagation, absorption, and scattering of electron-cyclotron waves in high-temperature plasma of magnetic traps for controlled fusion in cases where standard modeling methods do not provide the necessary accuracy.

Fizika plazmy. 2024;50(8):866-886
pages 866-886 views

PLASMA DYNAMICS

Numerical modeling of plasma dynamics and neutron generation in Z-pinch at the Angara-5-1 facility

Garanin S.F., Dolinskii V.Y.

Abstract

Deuterium Z-pinch experimental studies [1] were carried out at the Angara-5-1 facility at a current of 2–2.5 MA with 100 ns rise time. Neutron yield in experiments ranged from 5 Å~ 1010 to 8 Å~ 1011 neutrons per pulse. In order to explain experimental results, the two-dimensional MHD calculations were performed taking into account the generation of DD-neutrons using thermonuclear and beam-target mechanisms. MHD calculations of pinch dynamics, carried out taking into account the deuterium density distribution in the gas puff, satisfactory agree with voltage measurements. The neutron yield in the calculations ranges from 4 Å~ 1010 to 1.5 Å~ 1011 depending on the deuterium density and the time delay between the start of gas puff and the moment of generator start-up. The energy of accelerated deuterons, which lead to neutron generation in the beam-target mechanism, is calculated to be from 55 to 900 keV, which is in satisfactory agreement with the estimates obtained [1]. An important difference between neutron generation in a fast gas Z-pinch and neutron generation in a dense plasma focus is that the contributions of thermonuclear and beam-target mechanisms to neutron generation in a fast gas Z-pinch are comparable, whereas in a dense plasma focus the main neutron generation mechanism is the beam-target mechanism.

Fizika plazmy. 2024;50(8):887-904
pages 887-904 views

Acceleration of metal flyers at the Angara-5-1 facility

Oleinik G.M., Branitsky A.V., Galanin M.P., Grabovski E.V., Tishchenko I.Y., Gubskii K.L., Kuznetsov А.P., Laukhin Y.N., Lototskii A.P., Rodin A.S., Smirnov V.P., Tkachenko S.I., Frolov I.N.

Abstract

The results of flyer acceleration up to the velocity of 10 km/s at the Angara-5-1 facility at the current of 5 MA by the magnetic field pressure are presented. 1D and 2D simulation of aluminum flyer acceleration is performed. The simulation results agree with each other and with the experimental data.

Fizika plazmy. 2024;50(8):905-916
pages 905-916 views

ПЫЛЕВАЯ ПЛАЗМА

Selection of dust particles in radio frequency inductive discharge

Novikov L.А., Gasilov М.A., Golubev M.S., Morozova M.V., Dzlieva E.S., Pavlov S.I., Karasev V.Y.

Abstract

Selection of dust particles in three-dimensional plasma–dust trap in the electrodeless radio frequency inductive discharge in neon was studied for the first time. The discharge conditions and the discharge chamber design were chosen so that the dust structures of polydisperse quartz particles are created in the resulting dust trap. The structure lengths were of up to 1.5 cm and the number of particles in them was of up to 4000. Statistical analysis of the sizes of trapped particles has shown that under the conditions chosen the average particle size is close to 4 μm, and in a wide range from 0.25 to 1.0 Torr, it weakly depends on neon pressure. It was found that in the three-dimensional dust structure formed, the longitudinal interparticle distance changes in anomalously wide range, as compared to the dust structures formed in plasma of glow discharge. The characteristic size of the trapped particles was estimated based on the vertical balance of forces acting on dust particle. It was shown that, in terms of a number of parameters, the method of particle selection in radio frequency inductive discharge is preferable, as compared to similar method used in glow discharges in strata, and the dust trap applied can be used for studying three-dimensional dusty plasmas in the magnetic field.

Fizika plazmy. 2024;50(8):917-923
pages 917-923 views

Effect of plasma flows in a magnetic field on the dusty structures in different inert gases

Pavlov S.I., Dzlieva E.S., Dyachkov L.G., Golubev M.S., Morozova М.B., Novkov L.A., Karasev V.Y.

Abstract

The effect of the dust grain flows on a spatial dusty structure in a stratum of a glow discharge in two inert gases (neon and argon) in a weak magnetic field was studied. The discharge parameters were determined that are necessary for the creation of three-dimensional dusty structures made from dust grains of the same size in both gases in a magnetic field. The dependences were obtained of the angular velocities of the dusty structures in the two gases on the magnetic field and on the gas pressure. The rotation speeds of the dust grains in the magnetic field were used to compare the ion fluxes acting on the dust formations.

Fizika plazmy. 2024;50(8):924-930
pages 924-930 views

PLASMA RADIATION

Short-wavelength emission from a hot dense plasma

Krainov V.P., Smirnov B.М.

Abstract

We calculate the photorecombination emission intensity, which determines emission from a hot plasma at thermodynamic equilibrium at a noticeable degree of ionization. In the case of air, the contribution of the short-wavelength emission in the range 60–100 nm to the total emission power is about 90%. Above 10 kK, this contribution is temperature-independent.

Fizika plazmy. 2024;50(8):931-935
pages 931-935 views

LOW TEMPERATURE PLASMA

On the processes of charging the wall of a discharge tube under external illumination

Meshchanov А.V., Ionikh Y.Z.

Abstract

The breakdown and discharge ignition in discharge tubes with a diameter of about 1 cm and a length of 80 cm in inert gases (neon, argon, krypton, and xenon) at a pressure of about 1 Torr are studied experimentally. The tube is illuminated by radiation from continuous or pulsed light sources in the visible spectrum range. A ramp voltage with a small slope steepness (of about 50 V/s) is applied to the anode of the tube. Previously, the authors established that under these conditions external illumination can increase the breakdown voltage in several times. This effect was explained by the appearance of a charge on the tube wall as a result of photodesorption of electrons from its inner surface. In this work, it is found that charging the wall begins only when the anode potential approaches the breakdown potential measured without illumination. In addition, it is found that during the increase in the voltage on the anode and charging the wall, the anode potential differs from the breakdown potential by a constant and small value (less than 200 V).

Fizika plazmy. 2024;50(8):936-945
pages 936-945 views

0D model of microwave discharge in water with barbotage of methane through the discharge zone

Lebedev Y.А., Batukaev T.S., Bilera I.V., Tatarinov A.V., Titov A.Y., Epstein I.L.

Abstract

A microwave discharge inside of a methane bubble in boiling water is modeled in a 0D approximation taking into account the change in the size of the plasma bubble. The process of quenching the reaction products after the bubble detaches from the electrode surface is also simulated. The working pressure is 1 atm. It is shown that the main reaction products are H2, CO2, and CO. The ratio of CO2 and CO concentrations depends on the ratio of the initial flows of water vapor and methane. The calculated concentrations of the main decomposition products of methane and water are in good agreement with experimental data.

Fizika plazmy. 2024;50(8):946-958
pages 946-958 views

КОНФЕРЕНЦИИ

Status of research in the field of plasma physics and plasma technologies in Russia in 2023

Grishina I.А., Ivanov V.A.

Abstract

The most interesting new results are discussed that were presented at the LI International Zvenigorod Conference on Plasma Physics and Controlled Fusion, held from March 18 to 22, 2024 in Zvenigorod, Moscow region. The achievements in the main fields of research in plasma physics in Russia were analyzed and compared with those obtained abroad.

Fizika plazmy. 2024;50(8):959-980
pages 959-980 views