The three-dimensional (3D) steady-state electron modulation model of Ferreira (2002), based on Parker (1965) transport equation, is used to study the modulation of the 7 MeV galactic and Jovian electron anisotropies in the inner heliosphere. The Jovian electrons are produced in Jupiter's magnetosphere which is situated at ~ 5 AU in the ecliptic plane. The propagation of these particles is mainly described by the diffusion tensor applicable for the inner heliosphere. Some of the elements of the diffusion tensor are revisited in order to establish what contribution they make to the three-dimensional anisotropy vector and its components in the inner heliosphere. The 'drift' term is neglected since the focus of this study is on low-energy electrons. The effects on the electron anisotropy of different scenarios when changing the solar wind speed from minimum to maximum activity is illustrated. The effects on both the galactic and Jovian electron anisotropy of changing the polar perpendicular coefficient, in particular, are illustrated. It is shown that the computed Jovian electron anisotropy dominates the galactic anisotropy close to the Jovian electron source at ~5 AU, as expected, testifying to the validity of the3D-model. For the latitudinal anisotropy, the polar perpendicular diffusion plays a dominant role for Jovian electrons close to the source, with the polar gradient becoming the dominant factor away from the electron source. Of all three anisotropy components, the azimuthal anisotropy is dominant in the equatorial plane close to the source. It is found that there is a large azimuthal gradient close to the source because the low-energy electrons tend to follow the heliospheric magnetic field more closely than higher energy particles. The transition of the solar wind speed from minimum to intermediate to maximum solar activity condition was used to illustrate the modulation of the magnitude of the 7 MeV total anisotropy vector along the Ulysses trajectory. It was found that during the two encounters with the planet a maximum anisotropy of 38% was computed but with different anisotropy-timepeaks as the approach to Jupiter was different. / Thesis (M.Sc. (Physics))--North-West University, Potchefstroom Campus, 2007.

Gradual SEP events is one of the greatest hazards in space environment, particularly for the launch and operation of spacecraft and for manned exploration. Predictions of their occurrence and intensity are essential to ensure the proper operation of technical and scientific instruments. However, nowadays there is a large gap between observations and models these events that can lead to predictions. This work focuses on the modelling of SEP events, particularly, on the influence of the observer's relative position and of the shock strength, on the simulated SEP flux profiles. Part I of the thesis, deals with 3D MHD simulations of interplanetary shocks. We have studied the potential relevance of the latitude of the observer on the evolution of the strength of the shock and its influence on the injection rate of shock-accelerated particles; thus, on the resulting flux profiles. It is the first time that such dependence on the latitude is quantified from the modelling of SEP events, because most of the codes used so far to simulate interplanetary shocks are not 3D codes or they have been applied to near-ecliptic events. To study the influence of the latitude of the observer and the strength of the shock in the SEP flux profiles, we have simulated the propagation of two shocks (slow and fast) up to several observers placed at different positions with respect to the nose of the shock. We have calculated the evolution of the plasma and magnetic field variables at the cobpoint, and we have derived the injection rate of shock-accelerated particles and the resulting proton flux profiles to be measured by each observer. We have discussed how observers located at different positions in space measure different SEP profiles, showing that variations on the latitude may result in intensity changes of up to one order of magnitude. In Part II, we have used a new shock-and-particle model to simulate the 1 March 1979 SEP event that was observed by three different spacecraft. These spacecraft were positioned at similar radial distances but at significantly different angular positions, with respect to the associated solar source location. This particular scenario allows us to test the capability of the model to study the relevance of longitudinal variations in the shape of the intensity flux profiles, and to derive the injection rate of shock-accelerated particles. Despite the interest of multi-spacecraft events and due to the restrictions that they impose, this is just the second multi-spacecraft scenario for which their shock-particle characteristics have been modelled. For the first time, a simulation of a propagation of an interplanetary shock has simultaneously reproduced the time shock arrival and the relevant plasma jumps across the shock at three spacecraft. We have fitted the proton intensities at the three spacecraft for different energy channels, and we have derived the particle transport conditions in space. We have quantified the efficiency of the shock at injecting particles in its way toward each observer, and we have discussed the influence of the observer's relative position on the injection rate of shock-accelerated particles. We have concluded that in this specific event the evolution of the injection rate can not be completely explained in terms of the normalized velocity jump. The work performed during this thesis shows that the injection rate of shock-accelerated particles and their resulting flux profiles depend both on the latitude and on the longitude of the observer. This implies that more SEP events have to be modelled in order to quantify this conclusion on firm ground. / Els esdeveniments graduals de partícules solars energètiques (SEP) són un risc important per als astronautes i l’ instrumentació espacial. És per això que són necessàries eines de predicció de la intensitat i l'ocurrència de les tempestes de partícules solars per a garantitzar l'operativitat del material tècnic i científic embarcat. Existeix un gran buit, però, entre les prediccions del models actuals (per a ús en meteorologia espacial), i les observacions d'esdeveniments SEP. El treball realitzat durant aquesta tesi doctoral es centra en diversos aspectes de la simulació d'esdeveniments SEP. En particular, analitzem la influència de la posició relativa de l'observador i de la força del xoc en els perfils de flux derivats del nostre model combinat xoc-i-partícula. A partir de simulacions 3D, obtenim que el ritme d'injecció de partícules accelerades pel xoc depèn de la longitud de l'observador i demostrem, per primera vegada, que també depèn de la seva latitud. I es mostra que, conseqüentment, els perfils de flux detectats poden variar en un ordre de magnitud depenent de la connexió magnètica de l'observador amb el front del xoc. A més a més, presentem una simulació 2D d'un esdeveniment solar vist per tres sondes interplanetàries, pel qual s'ha ajustat, per primera vegada, l'arribada del xoc i els perfils de intensitat dels protons de diferents canals d'energia observats per cadascuna de les sondes. Així mateix, hem ajustat els salts en velocitat i camp magnètic a l'arribada del xoc, hem derivat les condicions de transport de les partícules i hem quantificat l'eficiència del xoc com a injector de partícules. La conclusió final del treball és que els futurs models de predicció d'esdeveniments SEP per a meteorologia espacial han de tenir en compte la geometria global de l'escenari solar-interplanetari.

La turbulence tridimensionnelle se caractérise par sa capacité à transférer de l'énergie des grandes vers les petites échelles où elle est finalement dissipée. Lorsqu’elle se produit dans un plasma non-collisionnel comme le vent solaire, une modélisation cinétique semble a priori nécessaire. Toutefois, la complexité d’une telle approche limite les développements théoriques et condamne les expériences numériques à se restreindre à des nombres de Reynolds peu élevés. Dans quelles mesures un modèle mono-fluide comme la MHD Hall permet-il de rendre compte des phénomènes observés dans le vent solaire aux échelles sub-ioniques ? C’est la problématique à laquelle s’est attaquée cette thèse. L’idée directrice de ce travail est de tirer profit de la relative simplicité des modèles fluides et de la puissance algorithmique des méthodes pseudo-spectrales pour aborder la turbulence du vent solaire par des simulations numériques directes tridimensionnelles massivement parallèles à grands nombres de Reynolds. Ces simulations numériques ont permis de mettre en évidence l’existence d’une brisure spontanée de symétrie chirale en turbulence MHD Hall incompressible, ainsi que l’existence d’un nouveau régime appelé ion MHD (IMHD). Un modèle phénoménologique a été proposé pour rendre compte de ces résultats et de nouvelles prédictions ont été faites, puis confirmées numériquement. Enfin, l’étude de l’effet d’un fort champ magnétique uniforme sur la dynamique turbulente a permis de confirmer pour la première fois une ancienne conjecture. L’inertie des électrons a ensuite été prise en compte toujours dans un modèle fluide. Par une approche hydrodynamique classique, une loi universelle a été obtenue pour les fonctions de structure d’ordre trois. L’ensemble de ces résultats est qualitativement en accord avec les mesures in situ du vent solaire et remet en cause le paradigme selon lequel les raidissements successifs du spectre des fluctuations magnétiques sont provoqués nécessairement par des phénomènes d’origine cinétique. De manière plus générale, cette thèse soulève des questions fondamentales sur les processus non-collisionnels de dissipation dans les plasmas turbulents. / Three-dimensional turbulence is characterized by its capacity to transfer energy from large to small scales where it is finally dissipated. When it occurs in a non-collisional plasma like the solar wind, a kinetic modelisation is necessary a priori. The complexity of such an approach however limits the theoretical developments and forces numerical experiments to be restricted to low Reynolds numbers. To what extent does a single-fluid model such as MHD Hall account for the phenomena observed in the solar wind at ion sub-scales ? It is to this question that this thesis tries to answer. The main idea of this work is to take advantage of the relative simplicity of fluid models and of the high precision of pseudo spectral methods to tackle the problem of turbulence in solar wind by direct numerical simulations massively parallelized at high Reynolds numbers. These simulations have helped to highlight the existence of a spontaneous breaking of chiral symmetry in incompressible Hall MHD turbulence, as well as the existence of a new regime called ion MHD (HDMI). A phenomenological model has been proposed to account for these results and new predictions were made and confirmed numerically. The study of the effect of a strong uniform magnetic field on the turbulent dynamics confirmed an ancient conjecture for the first time. The inertia of the electrons was then taken into account in a still fluid model. By a classical hydrodynamic approach, a universal law has been obtained for the third order structure functions. All these results are in qualitative agreement with in situ measurements of the solar wind and challenge the paradigm according to which the successive steepening of the magnetic fluctuations spectrum is necessarily caused by phenomenon of kinetic origin. More generally, this thesis raises fundamental questions about the non-collisional dissipation process in turbulent plasmas.

Electromagnetic wave phenomena represent a crucial factor during the forma- tion of the Earth's magnetosphere, as they are responsible for the energy trans- fer in the collisionless plasma medium. Multipoint observations of such wave phenomena are particularly useful to distinguish between spatial and temporal intensity variations. Moreover, an approximate event spatial extent and prop- agation directions can be determined. The thesis is focused on the statistical study of conjugate observations of wave phenomena called quasiperiodic (QP) emissions observed by the Van Allen Probes spacecraft and ground-based Kan- nuslehto station. Altogether, 26 simultaneously observed events were analyzed. This approach is unique in the sense that most such analyses up to date were only case studies. The thesis further presents the analysis of the dependence of properties of another wave phenomena, called magnetospheric line radiation (MLR), on the geomagnetic activity indices and solar wind parameters. Geomag- netic activity effects on the event characteristics are revealed. Finally, the effect of interplanetary shocks on the overall very low frequency (VLF) wave intensity measured by the DEMETER spacecraft is studied.

Data visualization is a field dedicated to effectively showing large amounts of collected data. A field where data visualization has shown promising results in its ways to effectively answer questions is the fundamental research of the universe. This thesis describes how to visualize the Earth’s magnetosphere as it interacts with the solar wind, using numerical methods, semi-transparent surfaces, and contours in OpenSpace. A magnetosphere module was implemented into OpenSpace, and the OpenSpace GUI was extended to give the user a possibility to interact with the visualization. The implemented algorithm in the magnetosphere module was measured in terms of speed, robustness, and user understanding. The implementation made it possible to visualize a simple model of the Earth’s magnetosphere, both when it interacts and when it does not interact with the solar wind. The measured speed showed a trend of a linear increase when more magnetic field lines were added to the visualization, where the run time was low for all tests. The algorithm was shown to be robust in its creation of the magnetosphere. When asked about what the users thought of the implemented visualization, a majority were positive and thought it to be a good complement to learning about the Earth’s magnetosphere. For a realistic model, there is a possibility that the speed and robustness may get worse, but the results are good for a simple model. To make the visualization itself more informative, more highlights are needed for important parts of the structure, as well as different colors that differ on which surfaces belong to which geographical pole. / Creative Exploration of the Atmosphere

Apesar dos avanços na última metade de século na teoria de transporte em Física de Plasmas, muitos de seus aspectos ainda são pouco compreendidos. Grande parte dessa limitação se deve à carência de modelos de primeiros princípios minimamente capazes de reproduzir os resultados experimentais. De fato, sem o embasamento em hipóteses fundamentais, os modelos devem se restringir à descrição do comportamento observado nos diferentes regimes de transporte no plasma, sem necessariamente especificar por que ou quais são os mecanismos envolvidos; até mesmo a identificação dos elementos envolvidos no transporte, por exemplo, se partículas ou células convectivas, é prejudicada. Uma abordagem que vem ganhando destaque na comunidade de Física de Plasmas ao longo dos anos é a estatística não-extensiva. Em particular, o interesse na teoria de Tsallis está na sua capacidade de descrever sistemas distantes do equilíbrio termodinâmico, uma característica comum à maioria dos plasmas de laboratório e astrofísicos. De fato, nessas circunstâncias, é sabido que as funções de distribuição das partículas são distantes das distribuições Maxwellianas, com longas-caudas, especialmente para os elétrons. A capacidade da teoria de Tsallis em descrever fenômenos da Física de Plasmas é retratada nas suas diversas aplicações encontradas na literatura, por exemplo, o transporte anômalo, oscilações eletrostáticas, ventos solares, plasmas empoeirados, onde é sabido que as previsões dadas pela estatística de Maxwell-Boltzmann não são capazes de descrever corretamente os resultados experimentais. A proposta desta tese de doutoramento é utilizar a estatística não-extensiva para determinar o transporte colisional em plasmas intensamente magnetizados. O desenvolvimento completo do modelo de transporte no contexto não-extensivo é estabelecido rigorosamente: partindo da definição da entropia de Tsallis e da hipótese das interações fracas (a condição do transporte colisional), somos capazes de deduzir as equações de fluidos utilizando apenas métodos estatísticos genéricos, e sem hipóteses adicionais. Nesse percurso, apresentamos, sempre de maneira consistente com a estatística não-extensiva, a definição da temperatura; a dedução da equação cinética com o operador colisional para plasmas; a generalização do método utilizado por Braginskii para determinar as soluções aproximadas da equação cinética; e o cálculo dos coeficientes de transporte. Porém, também apresentamos a aplicação de nosso modelo no transporte de calor em ventos solares e no pulso frio em plasmas de laboratório. / Despite the advances in the last half century in the plasma transport theory, many aspects of such phenomena remain poorly understood. Most of this limitation is due to the lack o first principles models capable of reproducing experimental observations. In fact, without a fundamental hypothesis, the models are restricted to describing the behavior of the observed plasma transport in diferent regimes, without specifying why or which mechanisms take part in the process; even the determination of the elements involved in the transport, for instance, whether particles or convective cells, is impaired. One approach that has been attracting attention in Plasma Physics community over the years is the non-extensive statistics. In particular, the interest in the Tsallis\'s theory lies in its ability to describe systems far from thermodynamic equilibrium, a common feature in most laboratory and astrophysical plasmas. The capability of the non-extensive statistics in describing phenomena of Plasma Physics is portrayed in various applications, for example, the anomalous transport, electrostatic oscillations, solar winds, dusty plasmas, where it is know that the predictions given by Maxwell-Boltzmann statistics cannot describe the experimental results. Indeed, under such cases, it is well known that the particle distribution functions are quite distant from Maxwellian distributions, with long tails, especially for electrons. The purpose of this doctoral thesis is to use the non-extensive statistics in order to obtain a model for the collisional transport in strongly magnetized plasmas. The complete development of the model in the non-extensive context is strictly established; starting with the definition of the Tsallis entropy and the weak interactions hypothesis (the collisional transport condition), we are able to derive the fluid equations using only generic statistical methods, without additional hypotheses. For such task, we present, consistently with non-extensive statistics, the definition of temperature; the deduction of the kinetic equation with the collision operator for plasmas, which are also appropriated for the determination of the fluid equations; the generalization of the method used by Braginskii to approximate the solution of the kinetic equation for electrons; and the calculation of electron transport coeficients. Lastly, we present the application of our model in the heat transport in the solar winds and in the phenomena of the cold pulse in laboratory plasmas.

<p>This thesis deals with the development and calibrations of sensors to measure energetic neutral atoms (ENAs) at Mars, Venus, and the Earth. ENAs are formed in charge exchange processes between energetic, singly--charged ions and a cold neutral gas. Since ENAs can travel in long straight trajectories, unaffected by electric or magnetic fields, they can be used to remotely image plasma interactions with neutral atmospheres. ENA instrument techniques have matured over the last decade and ENA images of the Earth's ring current for example, have successfully been analyzed to extract ion distributions and characterize plasma flows and currents in the inner magnetosphere.</p><p>Three different ENA sensors have been developed to image ENAs at Mars, Venus, and the Earth. Two of them, the nearly identical Neutral Particle imagers (NPIs) are on-board the Mars Express and Venus Express spacecraft as a part of the Analyzer of Space Plasmas and Energetic Atoms (ASPERA-3 and 4) instruments. The third is the Neutral Atom Detector Unit, NUADU, aboard the TC-2 spacecraft of the Double Star mission. The NPI design is based on a surface reflection technique to measure low energy (~0.3-60 keV) ENAs, while the NUADU instrument is based on a simple design with large geometrical factor and solid state detectors to measure high energy ENAs (~20-300 keV).</p><p>The calibration approach of both NPI sensors were to define the detailed response, including properties such as the angular response function and efficiency of one reference sensor direction then find the relative response of the other sensor directions. Because of the simple geometry of the NUADU instrument, the calibration strategy involved simulations to find the cutoff energy, geometrical factor and angular response. The NUADU sensor head was then calibrated to find the response to particles of different mass and energy. The NPI sensor for the Mars Express mission revealed a so-called priority effect in the sensor that lowers the angular resolution at high detector bias. During the calibration of the Venus Express NPI sensor tests were made which showed that the priority effect is a result of low amplitude (noise) pulses generated in the detector system. The conclusion is that the effect is caused by capacitive couplings between different anode sectors of the sensor. The thresholds on the preamplifiers were set higher on the Venus Express NPI, which removed the priority effect.</p><p>Two of the three ENA experiments, the Double Star NUADU instrument and the Mars Express NPI sensor, have successfully measured ENAs that are briefly described in the thesis. The first ENA measurements at Mars were performed with Mars Express. Initial results from the NPI include measurements of ENAs formed in the Martian magnetosheath and solar wind ENAs penetrating to the nightside of Mars. The first results from NUADU in Earth orbit show the expected ENA emissions from a storm time ring current. Also, together with the HENA instrument on the IMAGE spacecraft, NUADU have produced the first multi-point ENA image of the ring current.</p>

This thesis deals with the development and calibrations of sensors to measure energetic neutral atoms (ENAs) at Mars, Venus, and the Earth. ENAs are formed in charge exchange processes between energetic, singly--charged ions and a cold neutral gas. Since ENAs can travel in long straight trajectories, unaffected by electric or magnetic fields, they can be used to remotely image plasma interactions with neutral atmospheres. ENA instrument techniques have matured over the last decade and ENA images of the Earth's ring current for example, have successfully been analyzed to extract ion distributions and characterize plasma flows and currents in the inner magnetosphere. Three different ENA sensors have been developed to image ENAs at Mars, Venus, and the Earth. Two of them, the nearly identical Neutral Particle imagers (NPIs) are on-board the Mars Express and Venus Express spacecraft as a part of the Analyzer of Space Plasmas and Energetic Atoms (ASPERA-3 and 4) instruments. The third is the Neutral Atom Detector Unit, NUADU, aboard the TC-2 spacecraft of the Double Star mission. The NPI design is based on a surface reflection technique to measure low energy (~0.3-60 keV) ENAs, while the NUADU instrument is based on a simple design with large geometrical factor and solid state detectors to measure high energy ENAs (~20-300 keV). The calibration approach of both NPI sensors were to define the detailed response, including properties such as the angular response function and efficiency of one reference sensor direction then find the relative response of the other sensor directions. Because of the simple geometry of the NUADU instrument, the calibration strategy involved simulations to find the cutoff energy, geometrical factor and angular response. The NUADU sensor head was then calibrated to find the response to particles of different mass and energy. The NPI sensor for the Mars Express mission revealed a so-called priority effect in the sensor that lowers the angular resolution at high detector bias. During the calibration of the Venus Express NPI sensor tests were made which showed that the priority effect is a result of low amplitude (noise) pulses generated in the detector system. The conclusion is that the effect is caused by capacitive couplings between different anode sectors of the sensor. The thresholds on the preamplifiers were set higher on the Venus Express NPI, which removed the priority effect. Two of the three ENA experiments, the Double Star NUADU instrument and the Mars Express NPI sensor, have successfully measured ENAs that are briefly described in the thesis. The first ENA measurements at Mars were performed with Mars Express. Initial results from the NPI include measurements of ENAs formed in the Martian magnetosheath and solar wind ENAs penetrating to the nightside of Mars. The first results from NUADU in Earth orbit show the expected ENA emissions from a storm time ring current. Also, together with the HENA instrument on the IMAGE spacecraft, NUADU have produced the first multi-point ENA image of the ring current.

WINDMI is a low dimensional plasma physics-based model of the coupled magnetosphere-ionosphere system. The nonlinear system of ordinary differential equations describes the energy balance between the basic nightside components of the system using the solar wind driving voltage as input. Of the eight dynamical variables determined by the model, the region 1 field aligned current and ring current energy is compared to the westward auroral electrojet AL index and equatorial geomagnetic disturbance storm time Dst index. The WINDMI model is used to analyze the magnetosphere-ionosphere system during major geomagnetic storms and substorms which are community campaign events. Numerical experiments using the WINDMI model are also used to assess the question of how much interplanetary shock events contribute to the geoeffectiveness of solar wind drivers. For two major geomagnetic storm intervals, it is found that the magnetic field compressional jump is important to producing the changes in the AL index. Further, the WINDMI model is implemented to compute model AL and Dst predictions every ten minutes using real-time solar wind data from the ACE satellite as input. Real-Time WINDMI has been capturing substorm and storm activity, as characterized by the AL and Dst indices, reliably since February 2006 and is validated by comparison with ground-based measurements of the indices. Model results are compared for three different candidate input solar wind driving voltage formulas. Modeling of the Dst index is further developed to include the additional physical processes of tail current increases and sudden commencement. A new model, based on WINDMI, is developed using the dayside magnetopause and magnetosphere current systems to model the magnetopause boundary motion and the dayside region 1 field aligned current which is comparable to the auroral upper AU index. / text

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