Experimental, Numerical and Analytical Studies of the MHD-driven plasma jet, instabilities and waves

This thesis describes a series of experimental, numerical, and analytical studies involving the Caltech magnetohydrodynamically (MHD)-driven plasma jet experiment. The plasma jet is created via a capacitor discharge that powers a magnetized coaxial planar electrodes system. The jet is collimated and accelerated by the MHD forces.

We present three-dimensional ideal MHD finite-volume simulations of the plasma jet experiment using an astrophysical magnetic tower as the baseline model. A compact magnetic energy/helicity injection is exploited in the simulation analogous to both the experiment and to astrophysical situations. Detailed analysis provides a comprehensive description of the interplay of magnetic force, pressure, and flow effects. We delineate both the jet structure and the transition process that converts the injected magnetic energy to other forms.

When the experimental jet is sufficiently long, it undergoes a global kink instability and then a secondary local Rayleigh-Taylor instability caused by lateral acceleration of the kink instability. We present an MHD theory of the Rayleigh-Taylor instability on the cylindrical surface of a plasma flux rope in the presence of a lateral external gravity. The Rayleigh-Taylor instability is found to couple to the classic current-driven instability, resulting in a new type of hybrid instability. The coupled instability, produced by combination of helical magnetic field, curvature of the cylindrical geometry, and lateral gravity, is fundamentally different from the classic magnetic Rayleigh-Taylor instability occurring at a two-dimensional planar interface.

In the experiment, this instability cascade from macro-scale to micro-scale eventually leads to the failure of MHD. When the Rayleigh-Taylor instability becomes nonlinear, it compresses and pinches the plasma jet to a scale smaller than the ion skin depth and triggers a fast magnetic reconnection. We built a specially designed high-speed 3D magnetic probe and successfully detected the high frequency magnetic fluctuations of broadband whistler waves associated with the fast reconnection. The magnetic fluctuations exhibit power-law spectra. The magnetic components of single-frequency whistler waves are found to be circularly polarized regardless of the angle between the wave propagation direction and the background magnetic field.

Plasma loop and strapping field dynamics: reproducing solar eruptions in the laboratory

Coronal mass ejections (CMEs) are dramatic eruptions of large, plasma structures from the Sun. These eruptions are important because they can harm astronauts, damage electrical infrastructure, and cause auroras. A mysterious feature of these eruptions is that plasma-filled solar flux tubes first evolve slowly, but then suddenly erupt. One model, torus instability, predicts an explosive-like transition from slow expansion to fast acceleration, if the spatial decay of the ambient magnetic field exceeds a threshold.

We create arched, plasma filled, magnetic flux ropes similar to CMEs. Small, independently-powered auxiliary coils placed inside the vacuum chamber produce magnetic fields above the decay threshold that are strong enough to act on the plasma. When the strapping field is not too strong and not too weak, expansion force build up while the flux rope is in the strapping field region. When the flux rope moves to a critical height, the plasma accelerates quickly, corresponding to the observed slow-rise to fast-acceleration of most solar eruptions. This behavior is in agreement with the predictions of torus instability.

Historically, eruptions have been separated into gradual CMEs and impulsive CMEs, depending on the acceleration profile. Recent numerical studies question this separation. One study varies the strapping field profile to produce gradual eruptions and impulsive eruptions, while another study varies the temporal profile of the voltage applied to the flux tube footpoints to produce the two eruption types. Our experiment reproduced these different eruptions by changing the strapping field magnitude, and the temporal profile of the current trace. This suggests that the same physics underlies both types of CME and that the separation between impulsive and gradual classes of eruption is artificial.

Optimized condition for etching fused-silica phase gratings with inductively coupled plasma technology

Polymer deposition is a serious problem associated with the etching of fused silica by use of inductively coupled plasma (ICP) technology, and it usually prevents further etching. We report an optimized etching condition under which no polymer deposition will occur for etching fused silica with ICP technology. Under the optimized etching condition, surfaces of the fabricated fused silica gratings are smooth and clean. Etch rate of fused silica is relatively high, and it demonstrates a linear relation between etched depth and working time. Results of the diffraction of gratings fabricated under the optimized etching condition match theoretical results well. (c) 2005 Optical Society of America.

Fabrication of fused silica phase gratings with inductively coupled plasma technology

Inductively coupled plasma (ICP) technology is a new advanced version of dry-etching technology compared with the widely used method of reactive ion etching (RIE). Plasma processing of the ICP technology is complicated due to the mixed reactions among discharge physics, chemistry and surface chemistry. Extensive experiments have been done and microoptical elements have been fabricated successfully, which proved that the ICP technology is very effective in dry etching of microoptical elements. In this paper, we present the detailed fabrication of microoptical fused silica phase gratings with ICP technology. Optimized condition has been found to control the etching process of ICP technology and to improve the etching quality of microoptical elements greatly. With the optimized condition, we have fabricated lots of good gratings with different periods, depths, and duty cycles. The fabricated gratings are very useful in fields such as spectrometer, high-efficient filter in wavelength-division-multiplexing system, etc..

Experimental and theoretical studies of the electrothermal instability in a nonequilibrium plasma

Experimental and theoretical studies have been made of the electrothermal waves occurring in a nonequilibrium MHD plasma. These waves are caused by an instability that occurs when a plasma having a dependence of conductivity on current density is subjected to crossed electric and magnetic fields. Theoretically, these waves were studied by developing and solving the equations of a steady, one-dimensional nonuniformity in electron density. From these nonlinear equations, predictions of the maximum amplitude and of the half width of steady waves could be obtained. Experimentally, the waves were studied in a nonequilibrium discharge produced in a potassium-seeded argon plasma at 2000°K and 1 atm. pressure. The behavior of such a discharge with four different configurations of electrodes was determined from photographs, photomultiplier measurements, and voltage probes. These four configurations were chosen to produce steady waves, to check the stability of steady waves, and to observe the manifestation of the waves in a MHD generator or accelerator configuration.

Steady, one-dimensional waves were found to exist in a number of situations, and where they existed, their characteristics agreed with the predictions of the steady theory. Some extensions of this theory were necessary, however, to describe the transient phenomena occurring in the inlet region of a discharge transverse to the gas flow. It was also found that in a discharge away from the stabilizing effect of the electrodes, steady waves became unstable for large Hall parameters. Methods of prediction of the effective electrical conductivity and Hall parameter of a plasma with nonuniformities caused by the electrothermal waves were also studied. Using these methods and the values of amplitude predicted by the steady theory, it was found that the measured decrease in transverse conductivity of a MHD device, 50 per cent at a Hall parameter of 5, could be accounted for in terms of the electrothermal instability.

Thermodynamic and kinetic behavior of an argon plasma jet. Decomposition of nitric oxide between 1300 - 1750 degrees K in an argon plasma

In the first part of the study, an RF coupled, atmospheric pressure, laminar plasma jet of argon was investigated for thermodynamic equilibrium and some rate processes.

Improved values of transition probabilities for 17 lines of argon I were developed from known values for 7 lines. The effect of inhomogeneity of the source was pointed out.

The temperatures, T, and the electron densities, n_e , were determined spectroscopically from the population densities of the higher excited states assuming the Saha-Boltzmann relationship to be valid for these states. The axial velocities, v_z, were measured by tracing the paths of particles of boron nitride using a three-dimentional mapping technique. The above quantities varied in the following ranges: 10¹² ˂ n_e ˂ 10¹⁵ particles/cm³, 3500 ˂ T ˂ 11000 °K, and 200 ˂ v_z ˂ 1200 cm/sec.

The absence of excitation equilibrium for the lower excitation population including the ground state under certain conditions of T and n_e was established and the departure from equilibrium was examined quantitatively. The ground state was shown to be highly underpopulated for the decaying plasma.

Rates of recombination between electrons and ions were obtained by solving the steady-state equation of continuity for electrons. The observed rates were consistent with a dissociative-molecular ion mechanism with a steady-state assumption for the molecular ions.

In the second part of the study, decomposition of NO was studied in the plasma at lower temperatures. The mole fractions of NO denoted by x_NO were determined gas-chromatographically and varied between 0.0012 ˂ x_NO ˂ 0.0055. The temperatures were measured pyrometrically and varied between 1300 ˂ T ˂ 1750°K. The observed rates of decomposition were orders of magnitude greater than those obtained by the previous workers under purely thermal reaction conditions. The overall activation energy was about 9 kcal/g mol which was considerably lower than the value under thermal conditions. The effect of excess nitrogen was to reduce the rate of decomposition of NO and to increase the order of the reaction with respect to NO from 1.33 to 1.85. The observed rates were consistent with a chain mechanism in which atomic nitrogen and oxygen act as chain carriers. The increased rates of decomposition and the reduced activation energy in the presence of the plasma could be explained on the basis of the observed large amount of atomic nitrogen which was probably formed as the result of reactions between excited atoms and ions of argon and the molecular nitrogen.

Plasma inverse scattering theory

The object of this report is to calculate the electron density profile of plane stratified inhomogeneous plasmas. The electron density profile is obtained through a numerical solution of the inverse scattering algorithm.

The inverse scattering algorithm connects the time dependent reflected field resulting from a δ-function field incident normally on the plasma to the inhomogeneous plasma density.

Examples show that the method produces uniquely the electron density on or behind maxima of the plasma frequency.

It is shown that the δ-function incident field used in the inverse scattering algorithm can be replaced by a thin square pulse.

Efeitos do tratamento periodontal não-cirúrgico na via L-arginina-óxido nítrico e no estresse oxidativo em plaquetas

Estudos publicados nas duas últimas décadas sugerem um aumento do risco de doença cardiovascular (DCV) em pacientes com periodontite, mas os mecanismos fisiopatológicos dessa associação ainda não estão completamente esclarecidos. Uma vez que foi demonstrado aumento da ativação plaquetária e do estresse oxidativo na periodontite, o objetivo do presente estudo foi investigar a via L-arginina-óxido nítrico (NO)- guanosina monofosfato cíclica (GMPc) e parâmetros de estresse oxidativo em plaquetas de pacientes com periodontite, bem como avaliar o efeito do tratamento periodontal não-cirúrgico nessas variáveis. Um total de 10 pacientes sem periodontite (periodontalmente saudáveis ou com gengivite) e 10 pacientes com periodontite participaram do estudo. A avaliação clínica, laboratorial e experimental foi realizada no início do estudo e 90 dias após realização da terapia periodontal básica (grupo periodontite). A avaliação clínica periodontal incluiu registros de: profundidade de bolsa à sondagem (PBS), nível de inserção (NIC), percentual de placa e percentual de sangramento à sondagem. Os seguintes experimentos foram realizados: influxo de L-arginina; atividade e expressão das enzimas óxido nítrico sintase e da arginase; expressão das enzimas guanilato ciclase solúvel e fosfodiesterase 5; determinação dos níveis intraplaquetários de GMPc; agregação plaquetária; avaliação do estresse oxidativo (atividade oxidante total, atividade das enzimas antioxidantes catalase e da superóxido dismutase - SOD); medição dos níveis de proteína C reativa (CRP) e de fibrinogênio. Os resultados obtidos no início do estudo demonstraram ativação do influxo de L-arginina em plaquetas via sistema y+L nos pacientes com periodontite, bem como concentrações intraplaquetárias de GMPc diminuídas e aumento sistêmico da CRP. Após o tratamento periodontal, observou-se redução do percentual de sítios com PBS ≥ 6 mm, NIC 4-5 mm e NIC ≥ 6 mm, aumento nos níveis de GMPc, para níveis comparáveis aos dos pacientes sem periodontite, acompanhado por uma maior atividade das enzimas antioxidantes SOD e catalase. Os demais parâmetros avaliados não apresentaram alterações significativas tanto pré- quanto pós-tratamento. Esses resultados considerados em conjunto sugerem uma menor biodisponibilidade de NO em plaquetas na periodontite e que o tratamento periodontal não-cirúrgico foi capaz de reverter este quadro por um aumento das defesas antioxidantes. Portanto, alterações na via L-arginina-NO-GMPc e no estresse oxidativo podem levar à disfunção plaquetária, que poderia contribuir para um maior risco de DCV nos pacientes com periodontite.

Atividade pró-trombótica da toxina ExoU de Pseudomonas aeruginosa detectada em modelos experimentais in vivo e in vitro

Pseudomonas aeruginosa é um importante agente de pneumonia, particularmente em pacientes submetidos à ventilação mecânica, que pode evoluir para sepse, com elevadas taxas de letalidade. Na sepse, o processo inflamatório sistêmico exacerbado favorece o desequilíbrio entre as vias de coagulação e fibrinólise e a instalação de um estado pró-coagulante, com o aparecimento de trombose microvascular, coagulação intravascular disseminada e falência de múltiplos órgãos. Conhecendo a potente atividade pró-inflamatória da toxina ExoU produzida por P. aeruginosa, decorrente de sua atividade fosfolipásica A2, o objetivo desta tese foi investigar seu potencial de indução de alterações hemostáticas relacionadas à patogênese da sepse. Utilizando modelo de sepse em camundongos inoculados, por via intratraqueal, com suspensões de P. aeruginosa produtora de ExoU (PA103) ou de cepa com deleção do gene exoU, não produtora da toxina, foi mostrado que ExoU determinou maior gravidade da infecção, maior taxa de letalidade, leucopenia, trombocitose, hiperpermeabilidade vascular e transudação plasmática, evidenciadas, respectivamente, pela maior concentração de proteínas nos lavados broncoalveolares (LBAs) e acúmulo do corante Azul de Evans, previamente inoculado nos animais, por via endovenosa, no parênquima renal. ExoU favoreceu, também, a ativação plaquetária, confirmada pela maior concentração de plaquetas expressando P-selectina em sua superfície, maior número de micropartículas derivadas de plaquetas e maior concentração plasmática de tromboxano A2. A histopatologia dos pulmões e rins dos animais infectados com PA103 confirmou a formação de microtrombos, que não foram detectados nos animais controles ou infectados com a cepa mutante. Nos pulmões, a produção de ExoU determinou intensa resposta inflamatória com maior concentração de leucócitos totais e polimorfonucleados, interleucina-6 e fator de necrose tumoral-α nos LBAs. A análise imunohistoquímica mostrou intensa deposição de fibrina nos alvéolos e septos interalveolares. A atividade pró-coagulante dependente do fator tissular detectada nos LBAs dos camundongos infectados com PA103 foi independente da produção do inibidor da via de ativação do fator tissular (TFPI), mas associada ao aumento da produção do inibidor do ativador do plasminogênio-1 (PAI-1). Para investigar a participação do fator de ativação plaquetária (PAF) na liberação de PAI-1, foi pesquisada a atividade da enzima PAF-acetil-hidrolase (PAF-AH) nos LBAs dos camundongos. A atividade de PAF-AH apresentou-se significativamente elevada nos LBA dos camundongos infectados com PA103. O tratamento dos animais com um inibidor do PAF, antes da infecção, resultou na diminuição significativa das concentrações de PAI-1 e de leucócitos totais, bem como da atividade pró-coagulante dos LBAs. In vitro, ExoU induziu maior expressão do RNA mensageiro de PAI-1 e maior liberação da proteína PAI-1 nos sobrenadantes de células epiteliais respiratórias da linhagem A549. O tratamento das células A549 com um anticorpo anti-receptor de PAF, antes da infecção, reduziu significativamente a concentração de PAI-1 nos sobrenadantes de células infectadas com a cepa selvagem. Estes resultados demonstraram um novo mecanismo de virulência de P. aeruginosa através da atividade pró-trombótica de ExoU e a possibilidade de utilização da identificação de ExoU em isolados clínicos de pacientes graves como um marcador prognóstico para estes pacientes.