The magnetic susceptibility of 3-4ML ultrathin Fe/W(001) films was measured in situ under ultrahigh vacuum using the surface magneto-optic Kerr effect (SMOKE). Susceptibility measurements indicate that Fe/W(001) is a 2DXY system, and therefore undergoes a finite-size Kosterlitz-Thouless (KT) transition at the critical temperature T_KT. The films were grown using molecular beam epitaxy (MBE) and were characterized using Auger electron spectroscopy (AES) and low-energy electron diffraction (LEED). Three distinct categories of susceptibility signals were observed, and are referred to as Type I, II, and III. The primary difference between these signals is the size of the imaginary susceptibility, which likely corresponds to dissipative effects such as domain wall motion. The critical behaviour of the susceptibility in the paramagnetic region is described in the theory by χ(T) ~exp⁡〖〖(B/(T/T_KT-1) 〗^a)〗. A least-squares fit to this paramagnetic region from many independently grown films gives values of a=0.50±0.03 and B=3.48±0.16, which are in quantitative agreement with the KT theory. In comparison to 2nd order phase transitions, a power law fit to the paramagnetic region of the susceptibility yields an effective critical exponent of γ_eff≈3.7±0.7, which does not correspond to any known universality class. / Thesis / Master of Science (MSc) / The magnetic properties of atomically thin iron films, referred to as Fe/W(001), were investigated using the highly sensitive phenomenon known as the surface magneto-optic Kerr effect (SMOKE). Fe/W(001) films were grown using the well-developed technique known as molecular beam epitaxy (MBE), which involved a slow and controlled thermal evaporation of an iron source onto a tungsten substrate. Film thickness and uniformity were verified using Auger electron spectroscopy, and film structure was determined using low energy electron diffraction. Film growth and all subsequent measurements were performed in situ under ultrahigh vacuum (10-10 mbar) to limit surface contamination. Using SMOKE, the magnetic susceptibility of the Fe/W(001) films was measured as a function of temperature to look for evidence of a unique phase transition known as the Kosterlitz-Thouless (KT) transition. Fitting experimental susceptibility data to the theoretical model for the KT transition presented persuasive evidence that Fe/W(001) films undergo a KT transition.

The goal of this project was to study some unexplored optical and magneto-optical properties of the newest member of III-V ferromagnetic structures, InMnSb, as well as InSb films and InSb/AlInSb quantum wells. The emphasis was on dynamical aspects such as charge and spin dynamics in order to address several important issues of the spin-related phenomena. The objectives in this project were to: 1) understand charge/spin dynamics in NGS with different confinement potentials, 2) study phenomena such as interband photo-galvanic effects, in order to generate spin polarized current, 3) probe the effect of magnetic impurities on the spin/charge dynamics. This thesis describes three experiments: detection and measurement of spin polarized photocurrents in InSb films and quantum wells arising from the circular photogalvanic effect, and measurements of the carrier and spin relaxation in InSb and InMnSb structures by magneto-optical Kerr effect and differential transmission. The samples for our studies have been provided by Prof. Heremans at Virginia Tech, Prof. Santos at the University of Oklahoma, and Prof. Furdyna at the University of Notre Dame. / Ph. D.

The design of nonlinear adaptive control systems for reducing vibration transmission in applications such as transportation systems is discussed. The systems studied include suspension systems, such as those used in vehicles, employing nonlinear magneto-rheological (MR) dampers that are controlled to provide improved vibration isolation. Magneto-rheological dampers use a novel class of smart fluid whose apparent viscosity changes as it is exposed to a magnetic field. The developed adaptive control scheme is designed to deal with the nonlinearities and uncertainties that commonly arise in most suspension applications. Some of the nonlinearities that are considered include time-varying characteristics, displacement-dependent effects, and hysterisis damping of magneto-rheological dampers. The uncertainties include mass and stiffness variations that can commonly occur in a suspension system. A number of nonlinear analytical models are developed and used in numerical simulation to evaluate the validity and effectiveness of the developed adaptive controllers. Further, the results of the numerical study are used in an experimental evaluation of the controllers on a seat suspension for heavy vehicles. The analytical and experimental evaluation both indicate the effectiveness of the proposed adaptive control technique in controlling vibration transmission in the presence of both system nonlinearities and uncertainties. The manuscript will provide a detail account of the modeling, dynamic analysis, adaptive control development, and testing that was performed throughout this study. / Ph. D.

This study aims to better understand the behavior of magnetorheological (MR) fluids operated in the non-conventional squeeze mode through the use of a custom designed rheometer. Squeeze mode is the least understood of the three operational modes of MR fluid and thus its potential has yet to be realized in practical applications. By identifying the behavior of MR fluid in this mode, the foundation for future development of MR technology will be laid. Using the limited amount of literature available on squeeze-mode operation in conjunction with conventional principles associated with MR technology, a custom rheometer was designed and fabricated. A detailed account of the design considerations and background information on the fundamentals incorporated into the design are provided. The squeeze-mode rheometer was used to evaluate a variety of MR fluids to observe trends that may exist across fluids. Specifically, fluids of different ferrous particle volume fractions were considered. Through testing, common trends in fluid stiffness were observed for multiple fluids tested with the squeeze-mode rheometer. When operated in squeeze mode, activated MR fluid has shown to provide substantial resistance to compressive loading, possibly making it attractive for low-displacement high-load systems. The primary observation from the tests is that the activated fluid's stiffness progressively increases over the duration of fluid operation. This phenomenon is due to severe carrier-fluid separation coupled with the formation of ferrous particle aggregate clumps in the fluid. This effect is further explored in this research. / Master of Science

The goal of this research was the fabrication of thin films with magneto-optic (MO) properties. Accomplishment of this task was achieved via sol-gel processing of rare-earth and aluminum substituted yttrium-iron garnet (RxY3-xAlyFe5-yO12, R,Al:YIG), where R= Bi, Gd, Er, Ho. Detailed are the processing conditions, parameters and results leading to R,Al:YIG films with MO response. Success was attained with a 0.25M Gd,Al:YIG solution spin coated for 120 seconds at 3500rpm onto a (111) gadolinium gallium garnet (GGG) substrate and calcinated at 900°C for 4 hours. Samples were characterized via x-ray diffraction (XRD), magneto-optical loop tracer, scanning electron microscopy (SEM), energy dispersive x-ray spectroscopy (EDS), profilometry and optical microscopy. / Master of Science

A Finite Element model was built to analyze and examine a 2-D axisymmetric MR damper. This model has been validated with the experimental data. The results obtained in this thesis will help designers to create more efficient and reliable MR dampers. We can create some design analysis to change the shape of the piston in the damper or other parameters in the model. The main benefit of this research is to show a 2-D MR damper and generate the magnetic flux density along the MR Fluid gap. We can detect saturation by looking at the nodal solution for the magnetic flux density. Increasing the current in the model, results in an increase in magnetic induction. We studied four different configurations of an MR damper piston in order to determine how changing the shape of the piston affects the maximum force that the damper can provide. In designing MR dampers, the designer always faces the challenge of providing the largest forces in the most compact and efficient envelope. Therefore, it is important to identify the configuration that gives more force in less space. In chapter 4, shows the magnetic flux density contour before and after reaching the rheological saturation. By increasing the current, the color spectrum of the magnetic flux density will shift from the MR fluid gap to the piston centerline. In chapter 5, we provided a reasonably good amount of force in model 4 at 1.4 Amps, but it reaches saturation before the other models. For cases with power constraint or heat build up limitations, this model could work the best among the four designs that we considered. For cases where higher electrical currents can be tolerated, model 3 would be the most advantageous design, since it provides the largest force among the four models. / Master of Science

Recent concepts for controlled magneto-inertial fusion (MIF), such as magnetized liner inertial fusion (MagLIF), have suffered from magnetohydrodynamic (MHD) instabilities that lead to degradations in fusion yield. High levels of azimuthally-correlated MHD instability structures have been observed on cylindrical liner experiments without a pre-imposed axial magnetic field (Bz=0) elsewhere in the literature and are believed to be seeded from surface machining roughness. This dissertation uses highly resolved (0.5 μm and less resolution) 1D and 2D resistive magnetohydrodynamics (MHD) arbitrary-Lagrangian-Eulerian (ALE) simulations of electrical wire explosions (EWEs) and liner implosions to show that micrometer-scale surface roughness seeds the electrothermal instability (ETI), which induces early melting in pockets across the conductor and leads to millimeter-scale instability growth. The relationship between the ETI and the MRTI in liner implosions is also described in this dissertation, which shows that the traditional growth rates associated with these modes are coupled together and are not linearly independent. This dissertation also describes the preliminary implementation of a Koopman neural network architecture for learning the nonlinear dynamics of a high energy density (HED) exploding or imploding electrical conductor. / Doctor of Philosophy / Researchers have been working on controlling nuclear fusion and harnessing it as a power source since the discovery that nuclear fusion powers stars. In many of these controlled nuclear fusion concepts the aim is to heat the fuel until it forms a high-temperature plasma state of matter and then compress it to the point that the atoms are close enough and at high enough speeds that they collide fuse together. In the magnetized liner inertial fusion (MagLIF) concept these temperatures, densities, and pressures are achieved by surrounding the fusion fuel with a cylindrical piece of metal called a liner and using magnetic fields to implode the liner inward. Experiments have shown, however, that these liner implosions do not occur smoothly and that the system becomes unstable and can mix liner material into the fuel, which disrupts the fusion process. This dissertation investigates the stability of liner implosions and electrical wire explosions. In particular, this dissertation shows that surface roughness imparted on the surface of a solid fusion target by a machining process can grow into a millimeter-scale perturbation. It also describes the relationship between two common types of instabilities found in current-driven nuclear fusion: the magneto-Rayleigh-Taylor instability and the electrothermal instability. Finally, it looks at using neural networks to better understand the dynamics of electrical wire explosions.

Fenômenos aeroelásticos podem levar à drástica redução na vida útil de uma aeronave ou ainda resultam em danos severos à estrutura. Para manter as respostas dinâmicas em níveis aceitáveis técnicas como as estruturas adaptativas têm sido aplicadas. Este conceito explora a integração entre os elementos ativos (atuadores e sensores) e o controlador à estrutura. Dentre os materiais próprios para uso em estruturas adaptativas estão os fluidos eletro-reológicos e magneto-reológicos que tem se mostrado como um dos mais promissores materiais ativos. Estes materiais apresentam rápidas mudanças nas suas propriedades reológicas devido à ação de um campo elétrico ou magnético. Para sua incorporação em uma estrutura é utilizada uma viga sanduíche que tem seu comportamento dinâmico modelado através do método GHM para incorporar a dependência da freqüência dos fluidos ER/MR em um modelo estrutural no domínio do tempo. Através do acoplamento deste modelo com o método da malha de vórtices, é possível estudar a resposta aeroelástica temporal. Também é analisada a eficiência dos fluidos ER/MR no atraso da ocorrência de flutter. Isto é feito com o auxílio do método PK que determina a velocidade crítica de flutter. / Aeroelastic phenomena can lead to a drastic reduction in the fatigue life of aircraft or result in severe structural damage. To keep the dynamical responses at acceptable levels techniques such as the so-called adaptive structures have been adopted. This approach integrates active elements and controllers (actuators and sensors) to the structure. Among the materials suitable for adaptive structures are the electro-rheological (ER) and magneto-rheological fluids which are some of the most promising active materials. This kind of materials presents change in their rheological properties due to action of an external field, such as electrical or magnetic. In order to integrate these kind of fluids in the structure a sandwich beam with ER/MR fluids core is studied. The dynamical behaviour is modelled through a GHM method to incorporate the frequency dependence of the ER/MR fluids in a structural time domain model. By coupling this model to a vortex lattice model, it is possible to study the aeroelastic response in time domain. The ER/MR fluids efficiency to delay the flutter occurrence is also studied by using a PK-method that determines a critical velocity of flutter.

Neste trabalho abordamos os processos de perdas colisionais por mudança de estrutura fina e por escape radiativo. Estes processos são importantes por serem os principais fatores limitantes da densidade e da permanência de átomos confinados em armadilhas magneto-ópticas. A utilização do formalismo de Wigner nos possibilitou tratar a dinâmica dos graus de liberdade internos do sistema de forma puramente quântica, enquanto tratamos os graus de liberdade translacionais de maneira semiclássica. Com este formalismo deduzimos equações inéditas para uma colisão unidimensional e desenvolvemos um algoritmo, também inédito, para a resolução numérica de tais equações. / In this work we study the collision loss processes caused by fine-structure change and radiative escape. These processes are important because they limit the density and the confinement time of atoms in magneto-optical traps. The use of the Wigner-function formalism allows us to treat the internal degrees of freedom purely quantum mechanically, while treating the dynamics of the external degrees of freedom quasi-classically. This dissertation employs this formalism to derive for the first time, quasi-classical equations describing one-dimensional cold collisions, including dissipation due to spontaneous emission, and an algorithm, also for the first time, to solve numerically the mentioned set of coupled equations.

Nesta tese apresentamos os estudos de magnetotransporte em poços quânticos largos,\\\\ estreitos e triplos em campos magnéticos baixos. Dependendo dos estudos desejados, me-\\\\dimos a magnetoresistência em regime linear e não linear e sob a aplicação de corrente AC, irradiação de microondas e em gradiente de temperatura ao longo das amostras. Relatamos a observação de efeitos não lineares de corrente alternada em oscilações magneto-inter-sub-bandas de poços quânticos triplos. A oscilação MIS em sistemas de poços quânticos individuais e duplos e também os efeitos não lineares devido à corrente contínua foram estudados antes nestes sistemas. Nossos resultados são explicados de acordo com um modelo generalizado baseado na parte de não equilíbrio da função de distribuição de elétrons. A magnetorresistência não local sob irradiação de microondas é também estudada nesta tese. Os resultados obtidos proporcionam evidências para uma corrente de estado de borda estabilizada por irradiação de microondas, devido às ressonâncias não lineares e foram descritas por um modelo baseado em dinâmica não linear e mapa padrão de Chirikov. Finalmente, observamos uma correlação estreita entre as oscilações de resistência e oscilações de tensão de arraste do fônon induzidas por irradiação de microondas em um sistema bidimensional de eletrons sob campo magnético perpendicular. A influência da resistividade de dissipação modificada por microondas na tensão de arraste do fônon perpendicular ao fluxo de fônons pode explicar nossas observações. Além disso, características nítidas observadas na tensão de arraste do fônon sugerem que os domínios de corrente associados a estes estados podem existir na ausência de condução DC externa. / In this thesis, we present the studies of magneto-transport in narrow , wide and triple quantum wells in low magnetic fields. Depending on the desired studies, we have measured the magneto-resistance both in linear and nonlinear regimes and under the application of AC current, microwave irradiation and temperature gradient along the samples. We have reported the observation of nonlinear effects of AC current on magneto-inter-sub-band oscillations (MIS) of triple quantum wells (TQWs). The MIS oscillations in single and double quantum well system and also nonlinear effects due to DC current have been studied before in these systems. Our results are explained according to a generalized model based on non-equilibrium part of electron distribution function. The nonlocal magneto-resistance under microwave irradiation is also studied within this thesis. The obtained results provide evidence for an edge-state current stabilized by microwave irradiation due to nonlinear resonances and have been described by a model based on the nonlinear dynamics and Chirikov standard map. Finally, we have observed the phonon-drag voltage oscillations correlating with the resistance oscillations under microwave irradiation in a two-dimensional electron gas in perpendicular magnetic field. The influence of dissipative resistivity modified by microwave on phonon-drag voltage perpendicular to the phonon flux can explain our observations. Moreover, sharp features observed in phonon drag voltage suggest the current domains associated with these states can exist in the absence of external DC driving.