Multipole moments in general relativity and dynamical perturbations of black-hole magnetospheres

This thesis consists of two parts. In Part I, we develop a multipole moment formalism in general relativity and use it to analyze the motion and precession of compact bodies. More specifically, the generic, vacuum, dynamical gravitational field of the exterior universe in the vicinity of a freely moving body is expanded in positive powers of the distance r away from the body's spatial origin (i.e., in the distance r from its timelike-geodesic world line). The expansion coefficients, called "external multipole moments,'' are defined covariantly in terms of the Riemann curvature tensor and its spatial derivatives evaluated on the body's central world line. In a carefully chosen class of de Donder coordinates, the expansion of the external field involves only integral powers of r ; no logarithmic terms occur. The expansion is used to derive higher-order corrections to previously known laws of motion and precession for black holes and other bodies. The resulting laws of motion and precession are expressed in terms of couplings of the time derivatives of the body's quadrupole and octopole moments to the external moments, i.e., to the external curvature and its gradient.

In part II, we study the interaction of magnetohydrodynamic (MHD) waves in a black-hole magnetosphere with the "dragging of inertial frames" effect of the hole's rotation - i.e., with the hole's "gravitomagnetic field." More specifically: we first rewrite the laws of perfect general relativistic magnetohydrodynamics (GRMHD) in 3+1 language in a general spacetime, in terms of quantities (magnetic field, flow velocity, ...) that would be measured by the ''fiducial observers” whose world lines are orthogonal to (arbitrarily chosen) hypersurfaces of constant time. We then specialize to a stationary spacetime and MHD flow with one arbitrary spatial symmetry (e.g., the stationary magnetosphere of a Kerr black hole); and for this spacetime we reduce the GRMHD equations to a set of algebraic equations. The general features of the resulting stationary, symmetric GRMHD magnetospheric solutions are discussed, including the Blandford-Znajek effect in which the gravitomagnetic field interacts with the magnetosphere to produce an outflowing jet. Then in a specific model spacetime with two spatial symmetries, which captures the key features of the Kerr geometry, we derive the GRMHD equations which govern weak, linealized perturbations of a stationary magnetosphere with outflowing jet. These perturbation equations are then Fourier analyzed in time t and in the symmetry coordinate x, and subsequently solved numerically. The numerical solutions describe the interaction of MHD waves with the gravitomagnetic field. It is found that, among other features, when an oscillatory external force is applied to the region of the magnetosphere where plasma (e⁺e^-) is being created, the magnetosphere responds especially strongly at a particular, resonant, driving frequency. The resonant frequency is that for which the perturbations appear to be stationary (time independent) in the common rest frame of the freshly created plasma and the rotating magnetic field lines. The magnetosphere of a rotating black hole, when buffeted by nonaxisymmetric magnetic fields anchored in a surrounding accretion disk, might exhibit an analogous resonance. If so then the hole's outflowing jet might be modulated at resonant frequencies ω=(m/2) Ω_H where m is an integer and Ω_H is the hole's angular velocity.

Dilution refrigeration and a calorimetric measurement of the quadruple coupling constant in rhenium metal

A dilution refrigerator has been constructed capable of producing steady state temperatures less than .075°K. The first part of this work is concerned with the design and construction of this machine. Enough theory is presented to allow one to understand the operation and critical design factors of a dilution refrigerator. The performance of our refrigerator is compared with the operating characteristics of three other dilution refrigerators appearing in the present literature.

The dilution refrigerator constructed was used to measure the nuclear contribution to the low temperature specific heat of a pure, single-crystalline sample of rhenium metal. Measurements were made in magnetic fields from 0 to 12.5 kOe for the temperature range .13°K - .52°K. The second part of this work discusses the results of these experiments. The expected nuclear contribution is not found when the sample is in the superconducting state. This is believed to be due to the long spin-lattice relaxation times in superconductors. In the normal state, for the temperature range studied, the nuclear contribution is given by A/T² where A = .061 ± .002 millijoules-K/mole. The value of A is found to increase to A = .077 ± .004 millijoules-K/mole when the sample is located in a magnetic field of 12.5 kOe.

From the measured value of A the splitting of the energy levels of the nuclear spin system due to the interaction of the internal crystalline electric field gradients with the nuclear quadrupole moments is calculated. A comparison is made between the predicted and measured magnetic dependence of the specific heat. Finally, predictions are made of future nuclear magnetic resonance experiments which may be performed to check the results obtained by calorimetery here and further, to investigate existing theories concerning the sources of electric field gradients in metals.

Microwave dynamics of quasiparticles and critical fields in superconducting films

The microwave response of the superconducting state in equilibrium and non-equilibrium configurations was examined experimentally and analytically. Thin film superconductors were mostly studied in order to explore spatial effects. The response parameter measured was the surface impedance.

For small microwave intensity the surface impedance at 10 GHz was measured for a variety of samples (mostly Sn) over a wide range of sample thickness and temperature. A detailed analysis based on the BCS theory was developed for calculating the surface impedance for general thickness and other experimental parameters. Experiment and theory agreed with each other to within the experimental accuracy. Thus it was established that the samples, thin films as well as bulk, were well characterised at low microwave powers (near equilibrium).

Thin films were perturbed by a small dc supercurrent and the effect on the superconducting order parameter and the quasiparticle response determined by measuring changes in the surface resistance (still at low microwave intensity and independent of it) due to the induced current. The use of fully superconducting resonators enabled the measurement of very small changes in the surface resistance (< 10^-9 Ω/sq.). These experiments yield information regarding the dynamics of the order parameter and quasiparticle systems. For all the films studied the results could be described at temperatures near T_c by the thermodynamic depression of the order parameter due to the static current leading to a quadratic increase of the surface resistance with current.

For the thinnest films the low temperature results were surprising in that the surface resistance decreased with increasing current. An explanation is proposed according to which this decrease occurs due to an additional high frequency quasiparticle current caused by the combined presence of both static and high frequency fields. For frequencies larger than the inverse of the quasiparticle relaxation time this additional current is out of phase (by π) with the microwave electric field and is observed as a decrease of surface resistance. Calculations agree quantitatively with experimental results. This is the first observation and explanation of this non-equilibrium quasiparticle effect.

For thicker films of Sn, the low temperature surface resistance was found to increase with applied static current. It is proposed that due to the spatial non-uniformity of the induced current distribution across the thicker films, the above purely temporal analysis of the local quasiparticle response needs to be generalised to include space and time non-equilibrium effects.

The nonlinear interaction of microwaves arid superconducting films was also examined in a third set of experiments. The surface impedance of thin films was measured as a function of the incident microwave magnetic field. The experiments exploit the ability to measure the absorbed microwave power and applied microwave magnetic field absolutely. It was found that the applied surface microwave field could not be raised above a certain threshold level at which the absorption increased abruptly. This critical field level represents a dynamic critical field and was found to be associated with the penetration of the app1ied field into the film at values well below the thermodynamic critical field for the configuration of a field applied to one side of the film. The penetration occurs despite the thermal stability of the film which was unequivocally demonstrated by experiment. A new mechanism for such penetration via the formation of a vortex-antivortex pair is proposed. The experimental results for the thinnest films agreed with the calculated values of this pair generation field. The observations of increased transmission at the critical field level and suppression of the process by a metallic ground plane further support the proposed model.

Intensity-moments characterization of general pulsed paraxial beams with the Wigner distribution function

On the basis of the space-time Wigner distribution function (STWDF), we use the matrix formalism to study the propagation laws for the intensity moments of quasi-monochromatic and polychromatic pulsed paraxial beams. The advantages of this approach are reviewed. Also, a least-squares fitting method for interpreting the physical meaning of the effective curvature matrix is described by means of the STWDF. Then the concept is extended to the higher-order situation, and what me believe is a novel technique for characterizing the beam phase is presented. (C) 1999 Optical Society of America [S0740-3232(99)001009-1].

A leitura crítica de textos multimodais nas aulas de inglês: uma proposta de letramento com base na linguística sistêmico-funcional

Segundo os PCN, o ensino de Inglês deve contribuir para a formação de indivíduos questionadores e autônomos, que sejam capazes de fazer uso da linguagem como prática social. Este trabalho tem como objetivo apresentar uma proposta para desenvolver o letramento crítico através da leitura (KLEIMAN, 1995; SOARES, 2006), de forma a atender essa necessidade. Para tanto, indico, nesta dissertação, formas de abordar textos multimodais didaticamente, através da Análise Crítica do Discurso (FAIRCLOUGH, 2003) usando os pressupostos teórico-metodológicos e as categorias analíticas oferecidas pela Linguística Sistêmico-Funcional. A relevância do estudo de textos com imagens na escola está na possibilidade de trazer para esse ambiente a discussão de como essas semioses expressam diferentes modos de acesso ao conhecimento. Além disso, apesar da existência de trabalhos dedicados à habilidade de leitura em Inglês (RAMOS, 2004; BAMBIRRA, 2007; VIAN JR., 2009) e, por outro lado, de pesquisas acerca da leitura de imagens e ensino (SARDELICH, 2006: OLIVEIRA, 2006), poucos são os trabalhos que contemplam a leitura crítica em língua estrangeira no que diz respeito à integração da linguagem verbal e visual para a produção de sentidos. Para investigar as escolhas linguísticas e imagéticas e sua relação, responsáveis pela mensagem a ser negociada com o leitor, foram estudados dezessete textos, separados em quatro grupos representando quatro gêneros textuais compostos pelo verbal e pelo visual: cinco artigos de revista, três resenhas, cinco tirinhas e quatro anúncios publicitários. Eles foram examinados separadamente através de algumas das seguintes categorias dentro das três metafunções: a ideacional, principalmente pela análise dos Processos (HALLIDAY & MATTHIESSEN, 2004; KRESS & VAN LEEUWEN, 2006) e da Representação dos Atores Sociais (VAN LEEUWEN, 1997 e 2008); a interpessoal, pela Valoração (MARTIN e WHITE, 2005) e as instâncias de Contato, Distância Social e Atitude no visual (KRESS & VAN LEEUWEN, 2006); a textual, somente na imagem, quanto à Saliência, ao Valor Informacional e à Moldura (KRESS & VAN LEEUWEN, 2006). A partir da descrição e discussão dos resultados das análises de cada gênero, proponho algumas atividades para exemplificar a aplicação da LSF em contexto escolar. A construção dos exercícios baseou-se principalmente no artigo de Ramos (2004) sobre a implementação de gêneros em sala de aula. Assim, o trabalho com os corpora se dividiu em três momentos, usando cada gênero de uma vez: 1) descrição do gênero em seu contexto situacional e considerações sobre o contexto cultural; 2) análise do corpus aplicando a LSF e 3) exemplificação de atividades a partir da análise. Os resultados indicam que verbal e visual tendem a se complementar nos gêneros estudados e os ferramentais teóricos utilizados se mostraram como um generoso ponto de partida para o desenvolvimento de atividades de leitura crítica

Calculations of bond dissociation energies and dipole moments in energetic materials using density-functional methods

We compare the effectiveness of six exchange/correlation functional combinations (Becke/Lee, Yang and Parr; Becke-3/Lee, Yang and Parr; Becke/Perdew-Wang 91; Becke-3/Perdew-Wang 91; Becke/Perdew 86; Becke-3/Perdew 86) for computing C-N, O-O and N-NO2 dissociation energies and dipole moments of five compounds. The studied compounds are hexabydro-1,3,5-trinitro-1,3,5-triazine (RDX), dimethylnitramine, cyanogen, nitromethane and ozone. The Becke-3/Perdew 86 in conjunction with 6-31G

Noite fantástica: um percurso pelos estudos críticos e historiográficos sobre a obra Noite na taverna, de Álvares de Azevedo

Diversos críticos enfatizaram a vertente de Noite na taverna, de Álvares de Azevedo, obra que se consagrou, portanto, como uma narrativa pertencente ao gênero fantástico, apesar de não corresponder plenamente à concepção do gênero desenvolvida por Tzvetan Todorov, em Introdução à literatura fantástica subsídio fundamental para os estudos da ficção insólita. "Fantástica"!, "sobrenatural", "de horror", "tétrica", "sombria", "macabra", "monstruosa", "dantesca", "simbolista avant la lettre", "gótica", "satanista", "byroniana" são alguns dos termos empregados pela crítica nos principais estudos publicados acerca da obra. Trata-se de uma multiplicidade de classificações que, no entanto, não a caracterizam adequadamente e só demonstram a dificuldade de definir-lhe o gênero. Refletindo sobre tais aspectos e partindo dos principais estudos críticos produzidos sobre a obra desde sua primeira edição, consideramos a pertinência de a classificarmos como integrante do gênero fantástico. Procura-se ainda, após minuciosa leitura destes estudos, identificar os momentos da história e da crítica literária brasileira em que Noite na taverna foi classificada com termos que a associaram a uma forma de literatura incomum no Brasil nacionalista do século XIX.