Simulations of tokamak discharges with fast L-H transitions

Results are presented from the simulations of discharges with fast L-H transitions in the JET tokamak. During a transition, electron temperature perturbations propagate into the plasma core over a time much shorter than the transport time characteristic of this device. It is shown that the experimentally observed variations in the electron temperature may be caused by the change in the particle source intensity in the plasma when the atomic flux decreases, which is detected from the drop in the intensity of the D_α hydrogen spectral line. Hence, the experiments under consideration can be explained without the assumption about the nonlocal character of transport processes in tokamaks, which was made in some papers devoted to JET experiments. The plasma component responsible for the apparent nonlocal character of transport processes is the neutral component, whose propagation time across the plasma column is sufficiently short (t<100 μs). __________ Translated from Fizika Plazmy, Vol. 28, No. 1, 2002, pp. 3–8. Original Russian Text Copyright ? 2002 by Leonov.     

Nonlocal transport in hot plasma. Part II

The second part of the review, the first part of which was published earlier in Plasma Phys. Rep. 39, 698 (2013), is presented. A wide range of electromagnetic phenomena in laser plasma under nonlocal transport conditions requiring kinetic consideration are described. Among them, there are nonlocal transport in magnetized plasma, absorption and penetration of laser radiation in dense plasma, nonlocal effects related to inverse-bremsstrahlung heating and ponderomotive interaction, plasma fluctuations caused by a speckled laser beam, propagation of laser radiation and parametric instabilities in low-density plasma, and ion-acoustic instability of the return current. Many results are applicable for arbitrary relations between the characteristic spatial and time scales of the plasma parameters, which substantially advances the concept of laser-plasma interaction in hot plasma as compared to the conventional theories of collisionless and strongly collisional plasmas.     

Multiparticle nature of collisions in plasma and a unique feature of Coulomb interaction

It is shown that the lower limit in the Coulomb logarithm is governed by the collective behavior of a plasma rather than by binary collisions with small impact parameters. For this reason, under the assumption that the particle-to-particle momentum transfer is governed mainly by binary collision, the numerical coefficient in the second moment of the momentum transferred turns out to be overestimated by a factor of two. In other words, the multiparticle character of the lower limit in the Coulomb logarithm governs not only the logarithm itself but also the numerical coefficient in front of it. Correctly incorporating the fluctuation electric fields on spatial scales shorter than or close to the Debye radius (the multiparticle nature of collisions in a plasma) provides a new insight into the physics of Coulomb collisions and leads to the appearance of a new characteristic spatial scale (r _Dr_min)^1/2 in plasma theory. Hence, an almost ideal plasma possesses a unique feature: the existence of a spatial scale that is much shorter than the mean distance between the particles and has no analogues in the systems of particles in which the interaction potential is not of Coulomb origin. The problem is considered in the limit of infinitely large values of the Coulomb logarithm.     

Specific features of microheterogeneous plasma produced by irradiation of a polymer aerogel target with an intense 500-ps-long laser pulse

The properties of microheterogeneous plasma produced by irradiation of a polymer aerogel target with an intense (10¹⁴ W/cm³) short (0.5 ps) 1.064-μm laser pulse were studied. It is found that, even at plasma densities exceeding the critical density, a small fraction of the incident laser radiation penetrates through the plasma in which the processes of density and temperature equalization still take place. The intensification (as compared to plasmas produced from denser foams and solid films) of transport processes in such plasma along and across the laser beam can be caused by the initial microheterogeneity of the solid target. The replacement of a small (10% by mass) part of the polymer with copper nanoparticles leads to a nearly twofold increase in the intensity of the plasma X-ray emission.     

Nonstationary kinetic theory of ion transport in plasma with small perturbations

A theory of charged particle transport for small potential perturbations in a fully ionized plasma is developed on the basis of solving a linearized kinetic equation with the Landau collision integral. This theory is free of any constraints on the characteristic time and spatial scales of perturbations. Ion fluxes appropriate for an arbitrary ion-ion collision frequency that can ensure nonlocal space-time transport in the plasma are calculated. The obtained ion transport coefficients are used to calculate the partial contribution of ions to the longitudinal permittivity of collisional plasma. The resulting expression for the plasma permittivity is applicable in the entire range of frequencies and wavenumbers.     

Recent development in GAMMA 10 experiment

After the attainment of the density doubling due to the potential confinement, GAMMA 10 experiments have been directed to obtain a high-density plasma with potential confinement and also to study the dependence of the confining potential and confinement time on the plasma density. These problems are important to understand the physics of potential formation in tandem mirrors and also for the development of a tandem mirror reactor. GAMMA 10 experiments have advanced greatly after the Sorrento IAEA Conference, where high-density plasma production by using an ICRF heating at a higher harmonic frequency was reported. Recently, a high-density plasma was attained and the reproducibility of high-density plasma production was much improved by adjusting the spacing of the conducting plates installed in the anchor transition regions. In this paper, we report the production of a high-density plasma and the dependence of the confining potential and confinement time on the density up to a density of 4×10¹² cm^?3.     

Investigation of the H-mode during ECRH in the T-10 tokamak

An improved confinement regime with an external transport barrier (H-mode) is obtained during electron-cyclotron resonance heating of a plasma in the T-10 tokamak. A characteristic feature of this regime is a spontaneous density growth accompanied by a drop in the intensity of D_α line and an increase in β_p by a factor of ～1.6. The threshold power for the L-H transition is close to that predicted by the ITER scaling. The best characteristics of the H-mode are achieved with decreasing q _L to 2.2. It is shown that the external transport barrier arises for electrons, whereas the heat transport barrier insignificantly contributes to improved confinement.     

Scaling the seas

Primary producers in aquatic environments cover a range of living biomasses from 10^?13 to 10⁴ g dw. Benthic plants at the high end of this range contribute 5 Gt C year,¹ to global primary productivity. Plankton at the lower end (up to 10^?4 g dw) contributes about 30 Gt C year^?1. While many problems of interpretation remain, in general terms the size of the organisms which dominate particular habitats can be related to the physics of water movement and its interaction with the availability of light and nutrients, the generation time of the organism, and the attentions of grazers. A second scaling problem is that of methods of studying the global energy flow and nutrient cycling roles of aquatic primary producers. Problems with scaling up from small-scale and mesoscale to regional or global scale, and the prospects of more direct estimates of large-scale productivity, are discussed.     

Parameters of an ion beam and characteristic features of its slowing-down in a plasma during fast ignition of an inertial fusion target

The physics of the heating of an inertial fusion target by a high-energy ion beam under the conditions of fast ignition of fusion reactions is studied theoretically. The characteristic features of the formation of the spatial distribution of the energy transferred to the plasma from a beam of ions with different initial energies, masses, and charges under fast ignition conditions are determined. The notion of the Bragg peak is extended with respect to the spatial distribution of the temperature of the ion-beam-heated medium. The parameters of the ion beams are determined with which to initiate different regimes of fast ignition of a thermonuclear fuel precompressed to a density of 300–500 g/cm³—the edge regime, in which the ignition region is formed at the outer boundary of the target, and the internal regime, in which the ignition region is formed within the target and, in particular, in its central parts.     

Do circulating plasma AVT and/or cortisol levels control pulsatile urea excretion in the gulf toadfish (Opsanus beta)?

Previous work has shown that pulsatile urea excretion at the gills of the gulf toadfish is due to periodic activation of a facilitated diffusion transport system with molecular and pharmacological similarity to the UT-A transport system of the mammalian kidney. In mammals, AVP and glucocorticoids are two important endocrine regulators of this system. The present study focused on the potential role of circulating AVT (the teleost homologue of AVP) and cortisol levels as possible triggers for urea pulses. Long-term (34–84 h) monitoring of plasma levels by repetitive sampling at 2-h intervals from chronic cannulae in individual toadfish demonstrated that circulating AVT concentrations are low (10⁻¹²–10⁻¹¹ M), and show no relationship to the occurrence of natural urea pulses. In contrast, plasma cortisol levels decline greatly prior to natural pulses and rise rapidly thereafter. AVT injections into the caudal artery or ventral aorta elicited pulse events, but these were extremely small (1–10%) relative to natural pulses, and occurred only at unphysiological dose levels (10⁻⁹ M in the plasma). AVP was a partial agonist, but isotocin, insulin-like growth factor-1, and atrial natriuretic peptide were without effect at the same concentration. Artificially raising plasma cortisol levels by cortisol injection tended to reduce responsiveness to AVT. Pharmacological reduction of plasma cortisol levels by metyrapone injection elicited small pulses similar to those caused by AVT. Following such pulse events, AVT was ineffective in inducing pulses. We conclude that decreases in circulating cortisol play an important permissive role in urea pulsing, but that circulating AVT levels are not involved.     

Potential of a dust grain in a nitrogen plasma with a condensed disperse phase at room and cryogenic temperatures

The first numerical study is presented of the self-consistent potential of a dust grain in a nitrogen plasma with a condensed disperse phase at room and cryogenic temperatures and at high gas pressures for which the electron and ion transport in the plasma can be described in the hydrodynamic approximation. It is shown that the potential of the dust grain is described with good accuracy by the Debye potential, in which case, however, the screening radius turns out to be larger than the electron Debye radius. The difference between the radii is especially large in a plasma with high ionization rates (about 10¹⁶–10¹⁸ cm^?3 s^?1) at room temperature. It is found that, in a certain range of the parameters of a nitrogen dusty plasma, the parameter describing the interaction between the grains exceeds the critical value above which one would expect the formation of plasma-dust structures such as Coulomb crystals. For a plasma at cryogenic temperature (T=77 K), this range is significantly wider.     

On the characteristic features of the magnetic field diffusion in an inhomogeneous plasma in the EMHD approximation

The magnetic field transport in a spatially inhomogeneous plasma is studied theoretically in the electron MHD approximation. A model problem with a given periodic plasma density profile is considered in plane geometry. In this case, the magnetic field is transported diffusively and the effective diffusion coefficient is determined by the geometric and time parameters of the perturbed density, as well as by the magnetization parameter. It is found that, under certain relationships between the parameters of the problem, there is a kind of resonant effect—a decrease in the plasma conductivity. The problem under consideration does not refer solely to plasma physics: the results obtained here can also be used to describe transport processes in other branches of physics.     

Effect of the nonlocal nature of the electron energy spectrum on the dissociation of oxygen molecules in a discharge

The effect of the nonlocal nature of the electron distribution function on the dissociation rate of oxygen molecules in a dc glow discharge is studied. The concentration of oxygen atoms and the probability of their loss at the discharge tube wall are measured as functions of the discharge parameters by means of the timeresolved actinometric method involving argon atoms. An analysis of the measurement data in terms of both a discharge model in which the effect of the nonlocal nature of the electron energy spectrum is taken into account and a model in which this effect is ignored makes it possible to thoroughly investigate the balance of oxygen atoms in the discharge. The production rate of O(³P) atoms and their concentration in the plasma are calculated with allowance for the nonlocal nature of the electron energy distribution function. The calculated values agree well with the experimental data and differ substantially from those obtained using a spatially homogeneous distribution function.     

Numerous but Rare: An Exploration of Magic Squares

How rare are magic squares? So far, the exact number of magic squares of order n is only known for n ≤ 5. For larger squares, we need statistical approaches for estimating the number. For this purpose, we formulated the problem as a combinatorial optimization problem and applied the Multicanonical Monte Carlo method (MMC), which has been developed in the field of computational statistical physics. Among all the possible arrangements of the numbers 1; 2, …, n ² in an n × n square, the probability of finding a magic square decreases faster than the exponential of n. We estimated the number of magic squares for n ≤ 30. The number of magic squares for n = 30 was estimated to be 6.56(29) × 10²⁰⁵⁶ and the corresponding probability is as small as 10−²¹². Thus the MMC is effective for counting very rare configurations.     

Na+, K+-ATPase in HeLa cells after prolonged growth in low K+ or ouabain

Effects of long-term, subtotal inhibition of Na⁺-K⁺ transport, either by growth of cells in sublethal concentrations of ouabain or in low-K⁺ medium, are described for HeLa cells. After prolonged growth in 2 × 10^?8 M ouabain, the total number of ouabain molecules bound per cell increases by as much as a factor of three, mostly due to internalization of the drug. There is only about a 20% increase in ouabain-binding sites on the plasma membrane, representing amodest induction of Na⁺, K⁺-ATPase. In contrast, after long-term growth in low K⁺ there can be a twofold or greater increase in ouabain binding per cell, and in this case the additional sites are located in the plasma membrane. The increase is reversible. To assess the corresponding transport changes, we have separately estimated the contributions of increased intracellular [Na⁺] and of transport capacity (number of transport sites) to transport regulation. During both induction and reversal, short-term regulation is achieved primarily by changes in [Na⁺]_i. More slowly, long-term regulation is achieved by changes in the number of functional transporters in the plasma membrane as assessed by ouabain binding, V_max for transport, and specific phosphorylation. Parallel exposure of cryptic Na⁺, K⁺-ATPase activity with sodium dodecyl sulfate in the plasma membranes of both induced and control cells showed that the induction cannot be accounted for by an exposure of preexisting Na⁺, K⁺-ATPase in the plasma membrane. Analysis of the kinetics of reversal indicates that it may be due to a post-translational event.     

Long-lived Ar-Hg plasma in the afterglow of a high-current pulsed discharge

High-density (n > 10¹² cm^?3) argon-mercury plasma produced by a short (t ～ 20 μs) high-power pulsed discharge in argon with an admixture of mercury vapor at a discharge current of ～50 A, an argon pressure of ～4 mm Hg, and a mercury vapor pressure of ～10^?3 mm Hg was studied using optical spectroscopy and radio physics methods. It is found that the lifetime of this plasma after the end of the discharge pulse is up to 10^?2 s. It is shown that such an abnormally long lifetime of such an afterglow plasma, as compared to the plasma of an argon discharge without an admixture of mercury vapor, is related to the long residence time of atoms and ions of both argon and mercury in highly excited states due to chemi-ionization processes involving long-lived metastable argon ions. It is suggested that dissociative recombination of highly excited molecular ions of argon play an important role in the transfer of excitation to argon atoms and ions that are close to autoionization states.     

Progress in theory of instabilities in a rotating plasma

A review is given of the basic results of modern theory of instabilities in a rotating plasma. Both axisymmetric and nonaxisymmetric perturbations are considered. Main attention is given to the magnetorotational instability (MRI), discovered earlier by Velikhov, and the rotational-convective instability (RCI) discussed in a number of papers of astrophysical trend. For qualitative explanation of the results, a local approach is used which, with equilibrium plasma pressure gradient and/or nonsymmetry of perturbations, requires operation with nonlocal azimuthal perturbed magnetic field. The gravity and effects of pressure anisotropy are taken into account. In addition to hydrodynamic, the electrodynamic approach is formulated. The drift effects are considered. Analyzed are the ideal instabilities and those depending on the dissipative effects: viscosity and heat conductivity. The MRI is considered at presence of the charged dust particles. Besides the local approach, the nonlocal approach is formulated for the plasma model with a steplike profile of angular rotation frequency. Alongside with perturbations which frequencies are small compared to the ion cyclotron frequency, the perturbations are analyzed with frequencies larger than the ion cyclotron frequency. The latter corresponds to the Hall regime and subregime of nonmagnetized plasma.     

H<Superscript>−</Superscript> ion density in the plasma of a low-voltage cesium-hydrogen discharge as a function of the cathode emission current

It was shown theoretically that the increase in the cathode emission current in a low-voltage cesium-hydrogen discharge to ≈10 A/cm² leads to an increase in the electron temperature in the anode plasma to T _e ≥ 1 eV. In this regime, the rate constant for the production of H^? ions via dissociative electron attachment to vibrationally excited H₂ molecules is close to its maximum value and the density of H^? ions is maximal (about 10¹³ cm^?3) in the anode plasma.     

Production and study of a high-temperature plasma in the central solenoid of the AMBAL-M device

Results are presented from experiments on the production and study of a hot dense plasma in the central solenoid of the AMBAL-M fully axisymmetric ambipolar magnetic confinement system. The hot plasma in the solenoid and end cell is produced by filling the system with a thermally insulated current-carrying plasma stream with developed low-frequency turbulence. The plasma stream is generated by a gas-discharge plasma source placed upstream from the magnetic mirror of the solenoid. As a result, an MHD-stabilized plasma with a length of 6 m, a diameter of 40 cm, a density of 2×10¹³ cm^?3, an ion energy of 250 eV, and an electron temperature of 60 eV is produced in the central solenoid. It is found that, in the quiescent decay phase, transverse plasma losses from the solenoid due to low-frequency oscillations and nonambipolar transport are rather small and comparable with the classical diffusion losses.     

Isolation of an organic anion binding protein from rat liver plasma membrane fractions by affinity chromatography

As part of a study of hepatic organic anion transport, solubilized liver plasma membrane proteins were subjected to affinity chromatography on bilirubin- and sulfobromophthalein-labeled agarose columns. Both columns retained a Sudan Black and PAS negative protein of molecular weight 60,000 daltons, which cochromatographed with [³⁵S]sulfobromophthalein on Sephadex G-75, and reversibly bound [³⁵S]sulfobromophthalein in vitro with high affinity (K_a ? 10⁷ M^?1) and a valence of 2. Erythrocyte ghost membranes did not contain this protein. Sulfobromophthalein-agarose retained two additional smaller proteins which did not cochromatograph with [³⁵S]sulfobromophthalein. Their significance is unclear. This study supports the hypothesis that liver cell plasma membranes participate in the hepatic transport of organic anions.