Physics of Fluids B: Plasma Physics Current Issue
https://aipp.silverchair.com/pfb
en-usWed, 01 Dec 1993 00:00:00 GMTSat, 18 Feb 2023 22:45:21 GMTSilverchaireditor@aipp.silverchair.com/pfbwebmaster@aipp.silverchair.com/pfbCoupled tearing modes in plasmas with differential rotation
https://aipp.silverchair.com/pfb/article/5/12/4273/451395/Coupled-tearing-modes-in-plasmas-with-differential
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">The global asymptotic matching equations for multiple coupled resistive modes of arbitrary parity in a cylindrical plasma are derived. Three different variational principles are given for the outer region matching data, while the inner region analysis features a careful treatment of the symmetry‐breaking effect of a gradient in the equilibrium current for a zero‐β slab model. It is concluded that the usual constant‐ψ result remains valid and constrains the matrix matching formalism. The dispersion relation is compared with initial value calculations of a double tearing mode when there are small relative rotation velocities between the rational surfaces. In treating differential rotation within the asymptotic matching formalism, flow is ignored in the outer region and is assumed to affect the inner response solely through a Doppler shift. It is shown that the relative rotation can have a strong stabilizing effect by making all but one rational surface effectively ideal.</span>5124273428610.1063/1.860595https://aipp.silverchair.com/pfb/article/5/12/4273/451395/Coupled-tearing-modes-in-plasmas-with-differentialDynamics of Ne‐like populations in the germanium x‐ray laser
https://aipp.silverchair.com/pfb/article/5/12/4465/451386/Dynamics-of-Ne-like-populations-in-the-germanium-x
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Time‐ and two‐dimensional (2‐D) space‐resolved monochromatic imaging is used to study the dynamics of Ne‐like populations in the electron collisionally excited germanium x‐ray laser. Large‐scale variations in the <span style="font-style:italic;">n</span>=3 level population, specifically the upper level of the 2<span style="font-style:italic;">s</span>2<span style="font-style:italic;">p</span><sup>6</sup>3<span style="font-style:italic;">d</span>‐2<span style="font-style:italic;">s</span>2<span style="font-style:italic;">p</span><sup>6</sup>3<span style="font-style:italic;">p</span> laser transition, are observed in plasmas created in uniform and nonuniform irradiation conditions, and the degree of homogeneity along the amplification axis is related to the x‐ray gain. The influence of inhomogeneities on the core‐excited 3<span style="font-style:italic;">d</span>‐3<span style="font-style:italic;">p</span> x‐ray lasers is discussed.</span>5124465447210.1063/1.860561https://aipp.silverchair.com/pfb/article/5/12/4465/451386/Dynamics-of-Ne-like-populations-in-the-germanium-xOn nonlinear effects in electron‐cyclotron resonance plasma heating by microwave radiation
https://aipp.silverchair.com/pfb/article/5/12/4347/451376/On-nonlinear-effects-in-electron-cyclotron
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Possible nonlinear effects in electron‐cyclotron plasma production and heating by microwave radiation are analyzed. They include nonlinear regimes of electron acceleration in strong microwave fields under cyclotron resonance conditions, nonstationary regimes of microwave beam self‐focusing, and some parametric processes. Presented results may be of importance for predictions of plasma response to electron‐cyclotron resonance (ECR) heating or preionization by powerful radiation.</span>5124347435910.1063/1.860552https://aipp.silverchair.com/pfb/article/5/12/4347/451376/On-nonlinear-effects-in-electron-cyclotronModulational instabilities in strongly pumped systems
https://aipp.silverchair.com/pfb/article/5/12/4456/451371/Modulational-instabilities-in-strongly-pumped
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">In this paper, results of a set of numerical simulations applicable to the problem of particle acceleration by the beating of high‐energy laser waves are presented. The simulations have periodic or open‐ended boundary conditions. The growth rates of the parametric instabilities that are present in both situations are identical. In all cases they yield a destruction of the large amplitude plasma wave in a very short time. The amplitude of the saturation level is shown to be strongly dependent on initial conditions. Finally, some results in the term of the evolution of the distribution function of the background plasma in the context of strong turbulence are shown.</span>5124456446410.1063/1.860560https://aipp.silverchair.com/pfb/article/5/12/4456/451371/Modulational-instabilities-in-strongly-pumpedIon mobility and transport barriers in the tokamak plasmas
https://aipp.silverchair.com/pfb/article/5/12/4499/451363/Ion-mobility-and-transport-barriers-in-the-tokamak
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">The character of charged particle motion in an axisymmetric toroidal system with a constant radial electric field is investigated both analytically and numerically. Ion radial mobility caused by the combined effects of the radial electric field and charge exchange is found. A simple moment argument in the banana regime matches the simulation results well. Relation of present work and high confinement (H‐mode) experiment is also discussed.</span>5124499450110.1063/1.860566https://aipp.silverchair.com/pfb/article/5/12/4499/451363/Ion-mobility-and-transport-barriers-in-the-tokamakImploding cylindrical shock in a perfectly conducting and radiating gas
https://aipp.silverchair.com/pfb/article/5/12/4287/451356/Imploding-cylindrical-shock-in-a-perfectly
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Similarity solutions to a problem in radiative magnetogasdynamics with strong shocks are presented. Group theoretic methods are used to obtain a condition on the shock Cowling number, and to characterize the state dependent form of the gas absorption coefficient for which the self‐similar solutions are admitted. Numerical calculations have been performed to determine the value of the self‐similar exponent and the profiles of the flow variables, which enable one to assess the influence of thermal radiation, the magnetic field strength, and the adiabatic heat exponent on the flow pattern.</span>5124287429410.1063/1.860596https://aipp.silverchair.com/pfb/article/5/12/4287/451356/Imploding-cylindrical-shock-in-a-perfectlyCumulative hose instabilities of a magnetically self‐focused slab electron beam
https://aipp.silverchair.com/pfb/article/5/12/4432/451343/Cumulative-hose-instabilities-of-a-magnetically
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Transverse instabilities are investigated for the slab analog of the Bennett equilibrium of a magnetically self‐focused relativistic electron beam propagating through a plasma. Two kinds of plasma are considered: a channel matched to the beam and a broad uniform plasma. The high‐frequency electrostatic transverse two‐stream instability and the lower‐frequency resistive‐hose instability are treated analytically with a distributed tune (‘‘mass’’) model. Asymptotic growth is computed for each instability in various regimes, and analytic results are benchmarked against numerical solutions of the linearized system and particle‐in‐cell simulations. It is found that in the limit of large collisionless skin depth the electrostatic hose is the more virulent mode of beam breakup. Numerical examples are discussed for parameters in the range considered for plasma focusing of the asymmetric beams of interest in high‐energy physics.</span>5124432445510.1063/1.860559https://aipp.silverchair.com/pfb/article/5/12/4432/451343/Cumulative-hose-instabilities-of-a-magneticallyScattering of ordinary‐mode electromagnetic waves by density fluctuations in tokamaks
https://aipp.silverchair.com/pfb/article/5/12/4299/451331/Scattering-of-ordinary-mode-electromagnetic-waves
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Discussion and applications are presented for two approaches for estimating the effects of scattering of electromagnetic waves by turbulent density fluctuations in tokamaks. Ordinary‐mode waves propagating nearly perpendicular to the equilibrium magnetic field are considered. The multiple‐scattering approach provides analytic results for the angular and spatial spreading of a microwave beam by the turbulence. The single‐scattering approach yields numerical results and is derived by a compact technique involving Wigner functions. Both approaches are applied to idealized tokamaks to clarify relationships between the approaches and to test limits of applicability of the multiple‐scattering approach.</span>5124299431110.1063/1.860547https://aipp.silverchair.com/pfb/article/5/12/4299/451331/Scattering-of-ordinary-mode-electromagnetic-wavesCharacterization of laser‐produced plasma density profiles using grid image refractometry
https://aipp.silverchair.com/pfb/article/5/12/4419/451317/Characterization-of-laser-produced-plasma-density
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Grid image refractometry (GIR) is proposed as a technique for determining the two‐dimensional density profiles of long scale‐length laser‐produced plasmas. Its distinctive feature is that an optical probe beam is broken up into ‘‘rays’’ by being passed through a grid before traversing the plasma. The refraction angles of the rays are measured by imaging the plasma at two or more object planes and are integrated to yield the phase front. For cylindrically symmetric plasmas the density profile is then determined using Abel inversion. The feasibility of GIR is illustrated by an experiment in which a thick CH target was irradiated with ∼100 J of 527 nm radiation and diagnosed with a 20 ps, 263 nm probe. The resulting density profile is substantially larger than any that have previously been reported using interferometry and compares quite closely with hydrodynamic simulations.</span>5124419443110.1063/1.860558https://aipp.silverchair.com/pfb/article/5/12/4419/451317/Characterization-of-laser-produced-plasma-densityA limitation to the analogy between pure electron plasmas and two‐dimensional inviscid fluids
https://aipp.silverchair.com/pfb/article/5/12/4295/451310/A-limitation-to-the-analogy-between-pure-electron
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Thermal corrections to <strong>E×B</strong> drifts cause small structures in pure electron plasmas to smear. This smearing breaks the strict analogy between the behavior of pure electron plasmas and the behavior of two‐dimensional inviscid fluids. The causes and consequences of this smearing are discussed, a criterion for the validity of the plasma/fluid analogy is constructed, and experimental examples of the failure of the analogy are presented. The criterion indicates that fluid‐like behavior can persist to scale lengths far smaller than the normal ‘‘collective’’ behavior limit.</span>5124295429810.1063/1.860546https://aipp.silverchair.com/pfb/article/5/12/4295/451310/A-limitation-to-the-analogy-between-pure-electronInvestigations of diffusional effects in applied‐ B ion diodes
https://aipp.silverchair.com/pfb/article/5/12/4408/451299/Investigations-of-diffusional-effects-in-applied-B
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">In this article, a general study of diffusional effects is made numerically as well as theoretically with the aim to reproduce not only the current scaling of ion diodes but also the divergence of the ion beam and physical features such as virtual cathode movement due to the diamagnetic effect. It has been observed experimentally that the ion current exceeds that quantity which would be expected in the presence of a strong magnetic field. It is demonstrated that with the introduction of a diffusional field <span style="font-style:italic;">E</span><sub>θ</sub> into the stationary 21/2‐dimensional particle‐in‐cell code based on boundary‐fitted coordinates [T. Westermann, Nucl. Instrum. Methods A <strong>263</strong>, 271 (1988)] the simulation results agree well with experiment. This <span style="font-style:italic;">ad</span> <span style="font-style:italic;">hoc</span> model is supported theoretically by linear stability analysis of the stationary state.</span>5124408441810.1063/1.860956https://aipp.silverchair.com/pfb/article/5/12/4408/451299/Investigations-of-diffusional-effects-in-applied-BElectron acoustic surface waves in a two‐electron component plasma
https://aipp.silverchair.com/pfb/article/5/12/4502/451295/Electron-acoustic-surface-waves-in-a-two-electron
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Surface electron acoustic waves on a two‐electron component plasma in a semi‐infinite half‐space are investigated. The dispersion relation of these waves differs considerably from that of the surface electron plasma waves. </span>5124502450410.1063/1.860567https://aipp.silverchair.com/pfb/article/5/12/4502/451295/Electron-acoustic-surface-waves-in-a-two-electronStudy of the diffusion across a magnetic field in a beam–plasma interaction using a drift‐kinetic Vlasov code
https://aipp.silverchair.com/pfb/article/5/12/4312/451290/Study-of-the-diffusion-across-a-magnetic-field-in
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">A drift‐kinetic Eulerian Vlasov code, with fluid equations for the ions, is developed to study the problem of the injection of an electron beam into a two‐dimensional magnetized plasma, often referred to as direct current (dc) helicity injection. The diffusion of electrons across a magnetic field in the presence of a beam–plasma instability is studied. The case of a magnetic field tilted with respect to the beam direction is considered. The competition between the velocity shear Kelvin–Helmholtz (KH) and the beam–plasma (BP) instabilities is investigated in order to analyze the plasma heating and current drive mechanism induced by the beam injection. The KH instability generates low‐frequency plasma convection motion associated with <span style="font-style:italic;">c</span><strong>E×B</strong>/<span style="font-style:italic;">B</span><sup>2</sup> drift. In particular, the diffusion coefficients <span style="font-style:italic;">D</span><sub><span style="font-style:italic;">y</span></sub> and <span style="font-style:italic;">D</span><sub><span style="font-style:italic;">v</span></sub> <sub>∥</sub> describing, respectively, the anomalous diffusion process induced in space across the magnetic field by the KH instability, and the velocity diffusion process due to the kinetic effects induced in velocity space along the magnetic field by the BP instability, are computed using test‐particle diagnostics. In the present Cartesian model, it is found that <span style="font-style:italic;">D</span><sub><span style="font-style:italic;">y</span></sub> = <span style="font-style:italic;">D</span><sub><span style="font-style:italic;">v</span><sub>∥</sub> tan<sup>2</sup> θ/ω<sub><span style="font-style:italic;">ce</span></sub></sub><sup>2</sup> where θ is the angle between the magnetic field and the <span style="font-style:italic;">x</span> axis. This relation which links the electron dynamics in the <span style="font-style:italic;">x</span>‐<span style="font-style:italic;">y</span> real space and in the <span style="font-style:italic;">x</span>‐<span style="font-style:italic;">v</span><sub>∥</sub> phase space is verified by the numerical code. The Vlasov code provides a powerful tool to study particle diffusion in space and in phase space, especially in the low‐density regions of the distribution function.</span>5124312432610.1063/1.860548https://aipp.silverchair.com/pfb/article/5/12/4312/451290/Study-of-the-diffusion-across-a-magnetic-field-inStatistical theory of wave propagation and multipass absorption for current drive in tokamaks
https://aipp.silverchair.com/pfb/article/5/12/4391/451288/Statistical-theory-of-wave-propagation-and
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">In this work the effect of ray stochasticity on the multipass absorption of lower‐hybrid waves, used to drive current in tokamaks, is considered. In toroidal geometry, stochasticity arises as an intrinsic property of the Hamiltonian ray trajectories for lower‐hybrid waves. Based on the wave kinetic equation, a diffusion equation is derived, with damping and sources, for the wave energy density in the stochastic layer. This equation is solved simultaneously with the electron Fokker–Planck equation to describe the quasilinear flattening of the electron distribution function and the subsequent modification of the wave damping. Steady‐state solutions of this system (obtained numerically) indicate that the spectral gap is filled in a self‐regulating manner, so that the boundaries of the diffused wave spectrum are independent of the level of ray stochastic diffusion. This allows the development of a simple (semianalytic) model for the self‐consistent wave spectrum and the radial profile of absorbed power. </span>5124391440710.1063/1.860557https://aipp.silverchair.com/pfb/article/5/12/4391/451288/Statistical-theory-of-wave-propagation-andAbsence of Dicke narrowing in x‐ray laser plasmas?
https://aipp.silverchair.com/pfb/article/5/12/4495/451283/Absence-of-Dicke-narrowing-in-x-ray-laser-plasmas
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Present x‐ray laser plasmas are in the intermediate coupling regime (0.1<Γ<4, Γ≡<span style="font-style:italic;">Z</span><sup>2</sup><span style="font-style:italic;">e</span><sup>2</sup>/<span style="font-style:italic;">kTa</span>, with <span style="font-style:italic;">a</span> the ion sphere radius), where the binary collision based arguments of low density plasma kinetic theory can be misleading. The difficulty of modeling the spectral output from neonlike lasers at wavelengths near 200 Å has led to the suggestion, based on a low density, electron screened, plasma model, that collisional (‘‘Dicke’’) narrowing may be important. Molecular dynamics results, which include ion collisions and screening effects, are presented here. They indicate that the free‐particle Doppler approximation is still quite accurate for λ∼200 Å and Γ≲1. Collisional narrowing will become important at somewhat stronger couplings (Γ∼5) and at this wavelength the diffusion approximation is reasonable for Γ≳10. Collisional narrowing is found to be small even for the higher density (Γ≊4) nickel‐like lasers operating near 45 Å.</span>5124495449810.1063/1.860565https://aipp.silverchair.com/pfb/article/5/12/4495/451283/Absence-of-Dicke-narrowing-in-x-ray-laser-plasmasOn the fast penetration of magnetic field into plasma
https://aipp.silverchair.com/pfb/article/5/12/4327/451279/On-the-fast-penetration-of-magnetic-field-into
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">The fast penetration of a strong magnetic field into a plasma, caused by the Hall effect, is studied. The phenomenon is likely to govern the early evolution of the magnetic field not only in two‐dimensional geometry, to which previous studies were restricted, but also in three dimensions. This penetration mechanism is suppressed, if both the plasma and electrodes are collisionless, <span style="font-style:italic;">v</span><sub>A<span style="font-style:italic;">e</span></sub>τ<sub><span style="font-style:italic;">e</span></sub>≳<span style="font-style:italic;">a</span>, where <span style="font-style:italic;">v</span><sub>A<span style="font-style:italic;">e</span></sub> is the electron Alfvén velocity, τ<sub><span style="font-style:italic;">e</span></sub><sup>−1</sup> the collision frequency, and <span style="font-style:italic;">a</span> the characteristic space‐scale. However, the collisionless penetration can occur in the case of a resistive cathode. The self‐consistent effect of ion motion is shown to be of importance only in a very special geometry. Then the penetration speed is limited by the value <span style="font-style:italic;">V</span><sub>A</sub>(<span style="font-style:italic;">a</span>ω<sub><span style="font-style:italic;">pi</span></sub>/<span style="font-style:italic;">c</span>)<sup>−1/3</sup>, where <span style="font-style:italic;">V</span><sub>A</sub> is the Alfvén velocity and <span style="font-style:italic;">c</span>/ω<sub><span style="font-style:italic;">pi</span></sub> the ion skin depth.</span>5124327433210.1063/1.860549https://aipp.silverchair.com/pfb/article/5/12/4327/451279/On-the-fast-penetration-of-magnetic-field-intoAn experimental study of magnetic islands as Hamiltonian systems
https://aipp.silverchair.com/pfb/article/5/12/4384/451273/An-experimental-study-of-magnetic-islands-as
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Magnetic islands play an important role in determining plasma transport in toroidal magnetic confinement systems. The magnetic error fields and the associated islands can be theoretically described by a Hamiltonian approach. Experiments have been conducted on the Compact Auburn Torsatron [Fusion Technol. <strong>18</strong>, 281 (1990)] to test the applicability and limits of the first‐order Hamiltonian theory to magnetic islands. A novel set of helical trim coils with the same spatial periodicity as an ι– = 1/2 magnetic island were used to create a perturbation field of variable magnitude and phase. Extensive experimental parametric studies of the magnetic island were conducted and compared with theory. It was found that the first‐order Hamiltonian theory is applicable for the complete range of experimental error fields.</span>5124384439010.1063/1.860556https://aipp.silverchair.com/pfb/article/5/12/4384/451273/An-experimental-study-of-magnetic-islands-asComment on ‘‘Effects of neutral beam injection on poloidal rotation and energy transport in tokamaks’’ [Phys. Fluids B 5 , 3012 (1993)]
https://aipp.silverchair.com/pfb/article/5/12/4505/451270/Comment-on-Effects-of-neutral-beam-injection-on
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">A comment on effects of neutral beam injection on poloidal rotation and energy transport in tokamaks plasma is presented. The enhanced neoclassical effects such as poloidal mass flow, viscous heating and the convective flow of main plasma ions which is inward for coinjection should be taken into account in the interpretation of experimental data. (AIP)</span>5124505450510.1063/1.860568https://aipp.silverchair.com/pfb/article/5/12/4505/451270/Comment-on-Effects-of-neutral-beam-injection-onRevisiting the validity of quasilinear theory
https://aipp.silverchair.com/pfb/article/5/12/4333/451263/Revisiting-the-validity-of-quasilinear-theory
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">The weak turbulence theory of Langmuir waves in a one‐dimensional, one‐species plasma is discussed. Analytic calculations using the theory of two‐point correlations show that in the weak turbulence regime, τ<sub>ac</sub>≪min(τ<sub>tr</sub>,γ<sup>−1</sup><sub><span style="font-style:italic;">k</span></sub>) (where τ<sub>ac</sub> is the field autocorrelation time and τ<sub>tr</sub> is the particle decorrelation time), the nonlinear enhancement of the mode growth rate γ<sub><span style="font-style:italic;">k</span></sub> beyond the linear, Landau growth rate γ<sub><span style="font-style:italic;">k</span></sub><sup>L</sup> is small, additive, and higher order in the weak turbulence expansion parameter. This result thus supports the validity of the quasilinear theory for Langmuir wave turbulence, and disagrees with the predictions of Adam, Laval, and Pesme [Phys. Rev. Lett. <strong>43</strong>, 1671 (1979)], which indicate a non‐negligible, multiplicative enhancement in the regime τ<sub>ac</sub>≪τ<sub>tr</sub>≪γ<sup>−1</sup><sub><span style="font-style:italic;">k</span></sub>. Analysis shows that their result comes from the use of an invalid source term for the fluctuations.</span>5124333434010.1063/1.860550https://aipp.silverchair.com/pfb/article/5/12/4333/451263/Revisiting-the-validity-of-quasilinear-theoryFilamentation, current profiles, and transport in a tokamak
https://aipp.silverchair.com/pfb/article/5/12/4378/451256/Filamentation-current-profiles-and-transport-in-a
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">A tokamak with slightly imperfect magnetic surfaces should have a microscopically filamented current structure. If so, its equilibrium has an analog in the dynamics of interacting charged rods. Then there will be a natural current profile, analogous to thermal equilibrium of the rods (and the natural profile can be calculated by conventional statistical mechanics). This would account for the phenomenon of profile consistency or resilience in tokamaks. In addition to the natural profiles, this filamentary model also predicts an anomalous inward flux of both heat and particles in a tokamak, as well as an anomalous diffusion. These ‘‘inward‐pinch’’ components are related to the current gradient.</span>5124378438310.1063/1.860555https://aipp.silverchair.com/pfb/article/5/12/4378/451256/Filamentation-current-profiles-and-transport-in-aNonlinear theory of stable, efficient operation of a gyrotron at cyclotron harmonics
https://aipp.silverchair.com/pfb/article/5/12/4473/451248/Nonlinear-theory-of-stable-efficient-operation-of
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">One of the main obstacles in achieving stable, efficient operation at the cyclotron harmonics in a gyrotron is mode competition with parasitic modes at the fundamental frequency. In this article, the nonlinear dynamics of mode interactions in such a system are studied using a multifrequency, time‐dependent model. The results of numerical simulations for a second harmonic gyrotron are presented by considering two starting scenarios: (a) fast voltage rise or an instant turn‐on case, and (b) slow voltage rise case. For the first case, it is demonstrated that for a certain range of operating parameters, the presence of a parasitic mode at the fundamental can be helpful in the excitation of the second harmonic operating mode. In the second case, it is found that the unstable operating region increases with the value of the rise time constant of the electrode voltages. Stable, efficient gyrotron operation at the second harmonic is demonstrated using the numerical study.</span>5124473448510.1063/1.860562https://aipp.silverchair.com/pfb/article/5/12/4473/451248/Nonlinear-theory-of-stable-efficient-operation-ofNumerical calculation of axisymmetric non‐neutral plasma equilibria
https://aipp.silverchair.com/pfb/article/5/12/4267/451245/Numerical-calculation-of-axisymmetric-non-neutral
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Efficient techniques for computing axisymmetric non‐neutral plasma equilibria are described. These equilibria may be obtained either by requiring global thermal equilibrium, by specifying the midplane radial density profile, or by specifying the radial profile of ∫<span style="font-style:italic;">n</span> <span style="font-style:italic;">dz</span>. Both splines and finite‐differences are used, and the accuracy of the two is compared by using a new characterization of the thermal equilibrium density profile which gives a simple formula for estimating the radial and axial gradient scale lengths of thermal equilibria. It is found that for global thermal equilibrium 1% accuracy is achieved with splines if the distance between neighboring splines is about two Debye lengths while finite differences require a grid spacing of about one‐half Debye length to achieve the same accuracy.</span>5124267427210.1063/1.860594https://aipp.silverchair.com/pfb/article/5/12/4267/451245/Numerical-calculation-of-axisymmetric-non-neutralStability of field‐reversed configurations in the large s experiment (LSX)
https://aipp.silverchair.com/pfb/article/5/12/4366/451238/Stability-of-field-reversed-configurations-in-the
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Data from several diagnostics employed on the Large <span style="font-style:italic;">s</span> Experiment (LSX) field‐reversed theta pinch were analyzed to seek correlation between plasma distortions and the confinement properties of the field‐reversed configurations (FRC’s) formed. In particular, an array of <span style="font-style:italic;">B</span><sub>θ</sub> probes was used to determine separatrix movement, which might indicate the existence of low‐order modes, such as a tilt instability. No correlation between the quality of confinement and signal was observed. The parameter <span style="font-style:italic;">s</span>, equal to the average number of ion gyroradii inside the separatrix, has been postulated as a measure of FRC stability with values above 2, leading to instability and loss of confinement. However, the confinement observed in experiments conducted over a large range of <span style="font-style:italic;">s</span> (1<<span style="font-style:italic;">s</span><8) appeared to correlate more with the shape of the equilibrium radial density profile produced during formation rather than <span style="font-style:italic;">s</span>. Flatter profiles correlated with poorer confinement.</span>5124366437710.1063/1.860554https://aipp.silverchair.com/pfb/article/5/12/4366/451238/Stability-of-field-reversed-configurations-in-theLinear and nonlinear analysis of the cyclotron two‐stream instability
https://aipp.silverchair.com/pfb/article/5/12/4490/451234/Linear-and-nonlinear-analysis-of-the-cyclotron-two
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">A two‐dimensional, self‐consistent, nonlinear model is used to determine the growth rate and saturation level of the cyclotron two‐stream instability for two weakly relativistic electron beams copropagating along a uniform magnetic field with an inverted population in the perpendicular momentum. This instability has been proposed recently as the basis for a double‐stream cyclotron maser. Good agreement is found between the dispersion analysis and computer simulations in the linear regime. The effect of axial momentum spread on the instability is investigated. It is shown that the cyclotron two‐stream instability is primarily electrostatic, which calls for further exploration of an effective input and output coupling scheme for the maser.</span>5124490449410.1063/1.860564https://aipp.silverchair.com/pfb/article/5/12/4490/451234/Linear-and-nonlinear-analysis-of-the-cyclotron-twoIon‐temperature‐gradient instability driven transport and its parametric scaling
https://aipp.silverchair.com/pfb/article/5/12/4341/451227/Ion-temperature-gradient-instability-driven
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Experiments are reported on the ion thermal transport due to the ion‐temperature‐ gradient‐driven instability (ITG mode) and its transport scaling properties with respect to instability parameters like fluctuation level <span style="font-style:italic;">n</span>̃/<span style="font-style:italic;">n</span><sub><span style="font-style:italic;">i</span></sub> and linear growth rate as well as the drive parameter η<sub><span style="font-style:italic;">i</span></sub>(=∂ ln[<span style="font-style:italic;">T</span><sub><span style="font-style:italic;">i</span></sub>]/∂ ln[<span style="font-style:italic;">n</span><sub><span style="font-style:italic;">i</span></sub>]) in the Columbia Linear Machine [Phys. Fluids <strong>26</strong>, 1044 (1983)]. The measured local ion thermal conductivity χ<sub>⊥</sub>(<span style="font-style:italic;">r</span>) is highly anomalous and strongly correlated with the radial profile of the ITG mode. The linear scaling of the averaged thermal conductivity 〈χ<sub>⊥</sub>(<span style="font-style:italic;">r</span>)〉 with the averaged mode fluctuation level 〈<span style="font-style:italic;">n</span>̃/<span style="font-style:italic;">n</span><sub><span style="font-style:italic;">i</span></sub>〉 and linear growth rate indicates strong turbulence‐type scaling. The scaling of χ<sub>⊥</sub> with the drive parameter η<sub><span style="font-style:italic;">i</span></sub> is offset linear.</span>5124341434610.1063/1.860551https://aipp.silverchair.com/pfb/article/5/12/4341/451227/Ion-temperature-gradient-instability-drivenNeoclassical viscosity of a tokamak plasma with large mass flow
https://aipp.silverchair.com/pfb/article/5/12/4360/451223/Neoclassical-viscosity-of-a-tokamak-plasma-with
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">Neoclassical ion viscosity of a steady tokamak plasma with large mass flow is calculated in a general geometry. In addition to the usual ‘‘resonant’’ contribution, the ‘‘nonresonant’’ contribution has been evaluated. It is found that the nonresonant contribution is not small compared to the resonant contribution when the poloidal rotation speed is large. The viscosity evaluation has been reduced to one‐dimensional integrals. Furthermore, simple analytic formula for the viscosity coefficients are suggested. The velocity strain, which is the source of the viscosity, is also analyzed in detail.</span>5124360436510.1063/1.860553https://aipp.silverchair.com/pfb/article/5/12/4360/451223/Neoclassical-viscosity-of-a-tokamak-plasma-withLimiting current in a crossed‐field gap
https://aipp.silverchair.com/pfb/article/5/12/4486/451219/Limiting-current-in-a-crossed-field-gap
Wed, 01 Dec 1993 00:00:00 GMT<span class="paragraphSection">An analytic theory is presented that yields the maximum transmittable current across an anode–cathode gap that is embedded in an arbitrary transverse magnetic field (<span style="font-style:italic;">B</span>). The limiting current is found to be relatively insensitive to <span style="font-style:italic;">B</span> for all <span style="font-style:italic;">B</span><<span style="font-style:italic;">B</span><sub>H</sub>, where <span style="font-style:italic;">B</span><sub>H</sub> is the Hull cutoff magnetic field required for magnetic insulation. The classical Child–Langmuir solution is recovered in the limit <span style="font-style:italic;">B</span>→0.</span>5124486448910.1063/1.860563https://aipp.silverchair.com/pfb/article/5/12/4486/451219/Limiting-current-in-a-crossed-field-gap