The stochastic exit problem for dynamical systems

The problem of "exit against a flow" for dynamical systems subject to small Gaussian white noise excitation is studied. Here the word "flow" refers to the behavior in phase space of the unperturbed system's state variables. "Exit against a flow" occurs if a perturbation causes the phase point to leave a phase space region within which it would normally be confined. In particular, there are two components of the problem of exit against a flow:

i) the mean exit time

ii) the phase-space distribution of exit locations.

When the noise perturbing the dynamical systems is small, the solution of each component of the problem of exit against a flow is, in general, the solution of a singularly perturbed, degenerate elliptic-parabolic boundary value problem.

Singular perturbation techniques are used to express the asymptotic solution in terms of an unknown parameter. The unknown parameter is determined using the solution of the adjoint boundary value problem.

The problem of exit against a flow for several dynamical systems of physical interest is considered, and the mean exit times and distributions of exit positions are calculated. The systems are then simulated numerically, using Monte Carlo techniques, in order to determine the validity of the asymptotic solutions.

Deviation from standard inflationary cosmology and the problems in ekpyrosis

There are two competing models of our universe right now. One is Big Bang with inflation cosmology. The other is the cyclic model with ekpyrotic phase in each cycle. This paper is divided into two main parts according to these two models. In the first part, we quantify the potentially observable effects of a small violation of translational invariance during inflation, as characterized by the presence of a preferred point, line, or plane. We explore the imprint such a violation would leave on the cosmic microwave background anisotropy, and provide explicit formulas for the expected amplitudes $\langle a_{lm}a_{l'm'}^*\rangle$ of the spherical-harmonic coefficients. We then provide a model and study the two-point correlation of a massless scalar (the inflaton) when the stress tensor contains the energy density from an infinitely long straight cosmic string in addition to a cosmological constant. Finally, we discuss if inflation can reconcile with the Liouville's theorem as far as the fine-tuning problem is concerned. In the second part, we find several problems in the cyclic/ekpyrotic cosmology. First of all, quantum to classical transition would not happen during an ekpyrotic phase even for superhorizon modes, and therefore the fluctuations cannot be interpreted as classical. This implies the prediction of scale-free power spectrum in ekpyrotic/cyclic universe model requires more inspection. Secondly, we find that the usual mechanism to solve fine-tuning problems is not compatible with eternal universe which contains infinitely many cycles in both direction of time. Therefore, all fine-tuning problems including the flatness problem still asks for an explanation in any generic cyclic models.

Studies in vortex motion

This thesis covers four different problems in the understanding of vortex sheets, and these are presented in four chapters.

In Chapter 1, free streamline theory is used to determine the steady solutions of an array of identical, hollow or stagnant core vortices in an inviscid, incompressible fluid. Assuming the array is symmetric to rotation through π radians about an axis through any vortex centre, there are two solutions or no solutions depending on whether A^(1/2)/L is less than or greater than 0.38 where A is the area of the vortex and L is the separation distance. Stability analysis shows that the more deformed shape is unstable to infinitesimal symmetric disturbances which leave the centres of the vortices undisplaced.

Chapter 2 is concerned with the roll-up of vortex sheets in homogeneous fluid. The flow over conventional and ring wings is used to test the method of Fink and Soh (1974). Despite modifications which improve the accuracy of the method, unphysical results occur. A possible explanation for this is that small scales are important and an alternate method based on "Cloud-in-Cell" techniques is introduced. The results show small scale growth and amalgamation into larger structures.

The motion of a buoyant pair of line vortices of opposite circulation is considered in Chapter 3. The density difference between the fluid carried by the vortices and the fluid outside is considered small, so that the Boussinesq approximation may be used. A macroscopic model is developed which shows the formation of a detrainment filament and this is included as a modification to the model. The results agree well with the numerical solution as developed by Hill (1975b) and show that after an initial slowdown, the vortices begin to accelerate downwards.

Chapter 4 reproduces completely a paper that has already been published (Baker, Barker, Bofah and Saffman (1974)) on the effect of "vortex wandering" on the measurement of velocity profiles of the trailing vortices behind a wing.

Applying Habermas's critical theory to public administration and policy: A case study of Florida Everglades restoration program

The foundation of Habermas's argument, a leading critical theorist, lies in the unequal distribution of wealth across society. He states that in an advanced capitalist society, the possibility of a crisis has shifted from the economic and political spheres to the legitimation system. Legitimation crises increase the more government intervenes into the economy (market) and the "simultaneous political enfranchisement of almost the entire adult population" (Holub, 1991, p. 88). The reason for this increase is because policymakers in advanced capitalist democracies are caught between conflicting imperatives: they are expected to serve the interests of their nation as a whole, but they must prop up an economic system that benefits the wealthy at the expense of most workers and the environment. Habermas argues that the driving force in history is an expectation, built into the nature of language, that norms, laws, and institutions will serve the interests of the entire population and not just those of a special group. In his view, policy makers in capitalist societies are having to fend off this expectation by simultaneously correcting some of the inequities of the market, denying that they have control over people's economic circumstances, and defending the market as an equitable allocator of income. (deHaven-Smith, 1988, p. 14). Critical theory suggests that this contradiction will be reflected in Everglades policy by communicative narratives that suppress and conceal tensions between environmental and economic priorities. Habermas’ Legitimation Crisis states that political actors use various symbols, ideologies, narratives, and language to engage the public and avoid a legitimation crisis. These influences not only manipulate the general population into desiring what has been manufactured for them, but also leave them feeling unfulfilled and alienated. Also known as false reconciliation, the public's view of society as rational, and "conductive to human freedom and happiness" is altered to become deeply irrational and an obstacle to the desired freedom and happiness (Finlayson, 2005, p. 5). These obstacles and irrationalities give rise to potential crises in the society. Government's increasing involvement in Everglades under advanced capitalism leads to Habermas's four crises: economic/environmental, rationality, legitimation, and motivation. These crises are occurring simultaneously, work in conjunction with each other, and arise when a principle of organization is challenged by increased production needs (deHaven-Smith, 1988). Habermas states that governments use narratives in an attempt to rationalize, legitimize, obscure, and conceal its actions under advanced capitalism. Although there have been many narratives told throughout the history of the Everglades (such as the Everglades was a wilderness that was valued as a wasteland in its natural state), the most recent narrative, “Everglades Restoration”, is the focus of this paper.(PDF contains 4 pages)

Social Organisation of the Short-finned Pilot Whale, Globicephala macrorhynchus, with Special Reference to the Comparative Social Ecology of Delphinids

As a contribution to the understanding of comparative social trends within the cetacean family Delphinidae, a 22-month study was conducted on the shortfinned pilot whale, Globicephala macrorhynchus, which has been suggested to have a unique social system in which males and females in the same group are related and mating occurs outside of the group. The individual identification of 495 pilot whales, analysed in daily group association patterns, allowed identification of 46 pods. They were classified as productive or non-productive based on the presence or absence of immature animals. Productive pods were a significantly larger, although 12% of them lacked adult males. Two classes of whales (residents and visitors) were defined by patterns of occurrence,suggesting differential patterns of habitat use. Resident pods occasionally travelled together (41% of all groups) and associations between age and sex classes showed that in mixed-pod groups, the highest ranked associations of the reproductive females were with males from other pods, while within pods, adult males and females associated less. During summer, the proposed peak conception period, pilot whale groups were significantly larger and contained individuals from a significantly greater number of pods. These findings support the hypothesis that males and females mate when associating with individuals from other pods. A comparative analysis of sexual dimorphism, brain size, and testes size, habitat, prey and group size within the 17 delphinid genera identified a correlation between sexual dimorphism and body size, but relative measures of brain size and testes size did not correlate with broad ecological or social classifications. However, a comparison of three delphinid societies identified two distinct male mating systems: males of the small, mono-morphic Tursiops truncatus live in age/sex segregated groups and mate with a number of discrete female communities. Males in the large sexually dimorphic Glob icephala spp. and Orcinus orca mate with associated female pods and yet remain with their female kin. This corresponds to the avunculate social system described in some human societies. It could evolve from a promiscuous mating system where there is little guarantee of paternity and where males that live with their kin increase their inclusive fitness.

Singularities and horizons in the collisions of gravitational waves

This thesis presents a study of the dynamical, nonlinear interaction of colliding gravitational waves, as described by classical general relativity. It is focused mainly on two fundamental questions: First, what is the general structure of the singularities and Killing-Cauchy horizons produced in the collisions of exactly plane-symmetric gravitational waves? Second, under what conditions will the collisions of almost-plane gravitational waves (waves with large but finite transverse sizes) produce singularities?

In the work on the collisions of exactly-plane waves, it is shown that Killing horizons in any plane-symmetric spacetime are unstable against small plane-symmetric perturbations. It is thus concluded that the Killing-Cauchy horizons produced by the collisions of some exactly plane gravitational waves are nongeneric, and that generic initial data for the colliding plane waves always produce "pure" spacetime singularities without such horizons. This conclusion is later proved rigorously (using the full nonlinear theory rather than perturbation theory), in connection with an analysis of the asymptotic singularity structure of a general colliding plane-wave spacetime. This analysis also proves that asymptotically the singularities created by colliding plane waves are of inhomogeneous-Kasner type; the asymptotic Kasner axes and exponents of these singularities in general depend on the spatial coordinate that runs tangentially to the singularity in the non-plane-symmetric direction.

In the work on collisions of almost-plane gravitational waves, first some general properties of single almost-plane gravitational-wave spacetimes are explored. It is shown that, by contrast with an exact plane wave, an almost-plane gravitational wave cannot have a propagation direction that is Killing; i.e., it must diffract and disperse as it propagates. It is also shown that an almost-plane wave cannot be precisely sandwiched between two null wavefronts; i.e., it must leave behind tails in the spacetime region through which it passes. Next, the occurrence of spacetime singularities in the collisions of almost-plane waves is investigated. It is proved that if two colliding, almost-plane gravitational waves are initially exactly plane-symmetric across a central region of sufficiently large but finite transverse dimensions, then their collision produces a spacetime singularity with the same local structure as in the exact-plane-wave collision. Finally, it is shown that a singularity still forms when the central regions are only approximately plane-symmetric initially. Stated more precisely, it is proved that if the colliding almost-plane waves are initially sufficiently close to being exactly plane-symmetric across a bounded central region of sufficiently large transverse dimensions, then their collision necessarily produces spacetime singularities. In this case, nothing is now known about the local and global structures of the singularities.

Cooperative properties of lipid bilayers : collective director fluctuations and the effects of hydrophobic mismatch in protein/lipid membrane systems

Cooperative director fluctuations in lipid bilayers have been postulated for many years. ^2H-NMR T_1^(-1), T_(1P)^(-1) , and T_2^(-1); measurements have been used identify these motions and to determine the origin of increased slow bilayer motion upon addition of unlike lipids or proteins to a pure lipid bilayer.

The contribution of cooperative director fluctuations to NMR relaxation in lipid bilayers has been expressed mathematically using the approach of Doane et al.^1 and Pace and Chan.^2 The T_2^(-1)’s of pure dimyristoyllecithin (DML) bilayers deuterated at the 2, 9 and 10, and all positions on both lipid hydrocarbon chains have been measured. Several characteristics of these measurements indicate the presence of cooperative director fluctuations. First of all, T_2^(-1) exhibits a linear dependence on S2/CD. Secondly, T_2^(-1) varies across the ^2H-NMR powder pattern as sin^2 (2, β), where , β is the angle between the average bilayer director and the external magnetic field. Furthermore, these fluctuations are restricted near the lecithin head group suggesting that the head group does not participate in these motions but, rather, anchors the hydrocarbon chains in the bilayer.

T_2^(-1)has been measured for selectively deuterated liquid crystalline DML hilayers to which a host of other lipids and proteins have been added. The T_2^(-1) of the DML bilayer is found to increase drastically when chlorophyll a (chl a) and Gramicidin A' (GA') are added to the bilayer. Both these molecules interfere with the lecithin head group spacing in the bilayer. Molecules such as myristic acid, distearoyllecithin (DSL), phytol, and cholesterol, whose hydrocarbon regions are quite different from DML but which have small,neutral polar head groups, leave cooperative fluctuations in the DML bilayer unchanged.

The effect of chl a on cooperative fluctuations in the DML bilayer has been examined in detail using ^2H-NMR T_1^(-1), T_(1P)^(-1) , and T_2^(-1); measurements. Cooperative fluctuations have been modelled using the continuum theory of the nematic state of liquid crystals. Chl a is found to decrease both the correlation length and the elastic constants in the DML bilayer.

A mismatch between the hydrophobic length of a lipid bilayer and that of an added protein has also been found to change the cooperative properties of the lecithin bilayer. Hydrophobic mismatch has been studied in a series GA' / lecithin bilayers. The dependence of 2H-NMR order parameters and relaxation rates on GA' concentration has been measured in selectively deuterated DML, dipalmitoyllecithin (DPL), and DSL systems. Order parameters, cooperative lengths, and elastic constants of the DML bilayer are most disrupted by GA', while the DSL bilayer is the least perturbed by GA'. Thus, it is concluded that the hydrophobic length of GA' best matches that of the DSL bilayer. Preliminary Raman spectroscopy and Differential Scanning Calorimetry experiments of GA' /lecithin systems support this conclusion. Accommodation of hydrophobic mismatch is used to rationalize the absence of H_(II) phase formation in GA' /DML systems and the observation of H_(II) phase in GA' /DPL and GA' /DSL systems.

1. J. W. Doane and D. L. Johnson, Chem. Phy3. Lett., 6, 291-295 (1970). 2. R. J. Pace and S. I. Chan, J. Chem. Phy3., 16, 4217-4227 (1982).

The Cancun Climate Summit: a Moderate Success

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Characterization of detectors and instrument systematics for the SPIDER CMB polarimeter

We know from the CMB and observations of large-scale structure that the universe is extremely flat, homogenous, and isotropic. The current favored mechanism for generating these characteristics is inflation, a theorized period of exponential expansion of the universe that occurred shortly after the Big Bang. Most theories of inflation generically predict a background of stochastic gravitational waves. These gravitational waves should leave their unique imprint on the polarization of the CMB via Thompson scattering. Scalar perturbations of the metric will cause a pattern of polarization with no curl (E-mode). Tensor perturbations (gravitational waves) will cause a unique pattern of polarization on the CMB that includes a curl component (B-mode). A measurement of the ratio of the tensor to scalar perturbations (r) tells us the energy scale of inflation. Recent measurements by the BICEP2 team detect the B-mode spectrum with a tensor-to-scalar ratio of r = 0.2 (+0.05, −0.07). An independent confirmation of this result is the next step towards understanding the inflationary universe.

This thesis describes my work on a balloon-borne polarimeter called SPIDER, which is designed to illuminate the physics of the early universe through measurements of the cosmic microwave background polarization. SPIDER consists of six single-frequency, on-axis refracting telescopes contained in a shared-vacuum liquid-helium cryostat. Its large format arrays of millimeter-wave detectors and tight control of systematics will give it unprecedented sensitivity. This thesis describes how the SPIDER detectors are characterized and calibrated for flight, as well as how the systematics requirements for the SPIDER system are simulated and measured.

A obrigação de extraditar para a repressão do terrorismo: a prática brasileira à luz do direito penal transnacional

O combate efetivo ao flagelo secular do terrorismo, ainda que possa se revestir de muitas formas, não prescinde da repressão penal de seus autores. Em vista da maciça internacionalização do terrorismo, a partir do Século XX, a cooperação jurídica internacional em matéria penal (aí incluída a extradição) consolida-se como instrumento de essencial importância para a repressão do terrorismo pela comunidade internacional, com a vantagem de resguardar o domínio do direito e, por conseguinte, de assegurar a paz e a segurança internacionais. A evolução do tratamento do crime de terrorismo pelo direito penal transnacional influenciada pelo direito da segurança coletiva, especialmente a partir dos atentados de 11 de setembro de 2001 exerceu expressivo impacto no direito extradicional. O entendimento desse efeito é fundamental para extrair-se do instituto da extradição todo o seu potencial para a repressão penal do terrorismo. Desde que presentes determinados requisitos, uma conduta de caráter terrorista à luz de parâmetros internacionais gera a obrigação estatal de extraditar ou processar seu autor, mesmo na ausência de tratado. Além disso, a extradição exercida ou não em decorrência de obrigação convencional tem seus princípios afetados pela obrigação internacional de repressão do terrorismo, particularmente no que se refere a questões como extraditabilidade, extradição por crimes políticos e extradição de refugiados. O direito brasileiro apresenta algumas vulnerabilidades para o cumprimento da obrigação aut dedere aut iudicare e a prática judicial brasileira relativa à extradição de acusados de atos de terrorismo poderia reportar-se mais ao direito internacional, com vistas a evitar o risco de violação de obrigações internacionais pelo Brasil.

A pessoa estomizada e o processo de inclusão no trabalho: contribuição para a enfermagem

Estudo cujo objeto tratou da inclusão do cliente estomizado no mundo do trabalho. Os objetivos foram: identificar as dificuldades e facilidades dos clientes estomizados para inclusão no mundo do trabalho; analisar as possibilidades de inclusão no mundo do trabalho; discutir, a partir do ponto de vista do cliente estomizado, as orientações fornecidas pelos enfermeiros com vistas à inclusão no mundo do trabalho. O referencial teórico baseou-se no campo da Saúde do Trabalhador, enfocando a reabilitação profissional e o capítulo de bases conceituais abordou o conhecimento da estomaterapia, do mundo do trabalho, da deficiência física e aspectos legais que envolvem a reabilitação do estomizado no mundo laboral. O desenho metodológico foi de uma pesquisa descritiva, exploratória, de natureza qualitativa, realizada com 20 clientes estomizados definitivos, aos quais se aplicou uma entrevista semiestruturada. O método de análise dos dados foi a Análise Temática de Conteúdo, a qual fez emergir quatro categorias: a) Sentidos do Trabalho para o Ser Estomizado; b) O Estomizado e Sua Problemática Biopsicossocial; c) Contexto Social e Aspectos Legais Envolvendo a Inclusão do Estomizado no Mundo Laboral; d) O Enfermeiro e Sua Participação na Reabilitação do Cliente Estomizado. Os resultados revelaram que a maioria dos sujeitos trabalhava informalmente e recebia ao mesmo tempo algum auxílio governamental. Ressalta-se que eles reconheciam a ilegalidade desta situação, porém, julgavam-na necessária devido aos baixos valores dos benefícios, enfatizando-se a sensação de utilidade causada pelo fato de trabalharem. Referiram que o retorno ao trabalho era prejudicado devido a empecilhos encontrados nas dimensões psíquica, física e social, as quais estavam articuladas intimamente. Enfatizaram grande dificuldade em encontrarem empregos adequados às suas especificidades, e que não prejudicassem sua condição de saúde, pois há necessidade de banheiros adaptados, de não exposição ao calor na região do estoma e nem a esforços físicos severos, sem contar com a necessidade de um emprego que lhes permita flexibilidade para irem às consultas da equipe multiprofissional. Os maiores empecilhos sociais referiram-se ao desconhecimento e descaso social e governamental a respeito do que é ser estomizado, pois esta problemática não é divulgada, e nem conhecida pela maioria da população. Em relação aos enfermeiros, os sujeitos foram quase unânimes em referirem falta de orientação por parte desses profissionais, acerca de esclarecerem sobre sua inclusão no mundo do trabalho. Este fato caracterizou-se como preocupante, pois os enfermeiros são educadores por excelência e a orientação está intimamente ligada ao processo de reabilitação. Concluiu-se que o retorno ao trabalho foi considerado essencial, mas existem inúmeras dificuldades para que este retorno e manutenção no universo laboral. Estes empecilhos os levam a adquirirem aposentadorias precoces ou auxílios-doença. Há de se rever o processo de reabilitação da pessoa com estoma, especialmente no que se refere a sua inclusão no mundo do trabalho, no sentido de melhor prepará-la para suas potencialidades e limitações, destacando-se que ela não é incapaz e que existem atividades formais em que elas podem ser produtivas e felizes.

Agentes Comunitários de Saúde: trabalho e formação profissional numa perspectiva emancipatória

Este estudo tem por objeto a trajetória profissional e de escolarização do Agente Comunitário de Saúde (ACS), entendendo a escolarização como um processo de avançar no aprendizado dentro da escola formal e não apenas na formação profissional. Entende-se o trabalho como um princípio emancipatório, mas ao mesmo tempo repleto de contradições e, ainda, campo de exploração, na lógica do modelo de acumulação em curso. O objetivo geral do estudo é descrever e discutir a trajetória de trabalho, formação e escolarização dos Agentes Comunitários de Saúde inseridos na Área Programática 5.2 (AP 5.2). O estudo apresenta uma abordagem qualitativa, com base nas narrativas sobre o trabalho e vida dos ACS e o método de análise dos dados foi de base interpretativa com apoio do referencial da Hermenêutica-Dialética. Além disso, foi obtido um perfil quantitativo de escolaridade de todos os ACS. O campo da pesquisa foi a AP 5.2, no município do Rio de Janeiro. Os resultados evidenciam ampliação significativa em todas as faixas de escolaridade desses ACS após o início do trabalho. As razões apontadas para o ingresso no trabalho de ACS estão relacionadas à oportunidade de ingresso ou reingresso no mercado formal de trabalho e a proximidade da residência. A desvalorização e a falta de reconhecimento são apontadas como os principais motivos para os ACS deixarem a profissão. Alguns sujeitos apontaram como provisório o trabalho de ACS e sua permanência está vinculada a falta de outras perspectivas e também a sua identificação com o trabalho comunitário, remetendo a um caráter de dádiva. O princípio emancipatório do trabalho também foi apontado por alguns sujeitos, já que o trabalho propiciou a retomada de antigos objetivos, no caso, voltar a estudar. Também foram encontrados achados da influência do enfermeiro no trabalho do ACS e na sua opção profissional. Parece haver um desejo deste trabalhador em mudar de função, porém continuando na área da saúde, mas a garantia dessa mudança só será possível com uma ordem social mais justa. Com base nos resultados e no referencial teórico, conclui-se que o ACS deve ser olhado não apenas como um trabalhador que reproduz um modelo de relação de trabalho, mas que, como membro das classes populares, permite pensar mudanças a partir do conceito de inédito viável. Sua permanência como ACS e a garantia de que se cumpra a proposta de mudança indicada pela Estratégia de Saúde da Família (ESF) depende do reconhecimento técnico e político desse trabalhador.

Do efeito fantástico na ficção contemporânea

O fantástico tem se desenvolvido ao longo dos séculos, contudo, ainda constatamos dificuldades em se definir as características que o constituem. É certo que, hoje, o elemento fantástico aparece de diferentes formas, com a convivência pacífica de elementos naturais e sobrenaturais. Aqui, o insólito se dissolve na rotina e na banalidade das situações comuns, gerando o efeito fantástico, abordagem da presente dissertação. Não há mais sustos ou sobressaltos diante de um evento sobrenatural, ao contrário do chamado fantástico clássico, que prevê a hesitação como elemento principal. Nesse emaranhado de eventos sobrenaturais, uma figura se destaca, a personagem. Ela tem como principal função ser instrumento para comunicar e confirmar ao leitor a ocorrência dos eventos sobrenaturais. No caso do fantástico contemporâneo ela acaba por auxiliar na naturalização dos eventos sobrenaturais, pois retrata a passividade e a aceitação de tais eventos. Através dela também é possível identificar reações diante desses eventos: incerteza, dúvida, sufocamento, angústia e medo. Nosso principal objetivo com essa dissertação é costurar teoria e texto, buscando identificar o efeito fantástico, através da análise da reação das personagens, em autores contemporâneos, mais especificamente em contos. Utilizaremos para essa exemplificação contos de Amilcar Bettega Barbosa (Deixe o quarto como está), Jorge Luis Borges (O livro de areia) e Murilo Rubião (Contos Reunidos). Para realizar tal desafio, buscaremos trazer questões que enriqueçam a discussão sobre o fantástico contemporâneo, demonstrando com isso, também, sua permanência no cenário literário atual. Com isso esperamos contribuir para a propagação das discussões sobre o fantástico, levando, quem sabe, a um novo posicionamento crítico sobre esses textos

A imprescritibilidade da negatória de paternidade e o melhor interesse da criança

Estudo sobre a filiação com ênfase na regra do caput do artigo 1.601 do Código Civil Brasileiro Lei 10.406/2002, segundo a qual cabe ao marido o direito de contestar a paternidade dos filhos nascidos de sua mulher, sendo tal ação imprescritível. A dissertação tem como objetivo principal demonstrar a inconstitucionalidade do direito perpétuo do pai em desconstituir a paternidade do filho menor nascido em uma relação de casamento à luz do princípio do melhor interesse da criança. Para tanto foi realizada pesquisa bibliográfica e jurisprudencial em tribunais nacionais de segunda instância, no Superior Tribunal de Justiça e no Supremo Tribunal Federal. Os critérios da presunção legal pater is est quem nuptiae demonstrant, da verdade biológica e da posse de estado de filho foram um a um analisados, não havendo entre eles predominância no ordenamento jurídico. O levantamento deste material permitiu a constatação de que a regra supracitada é, pela doutrina majoritária, acriticamente louvada e utilizada nos julgados de conflitos de paternidade. O filho, no entanto, não pode permanecer por toda a vida sujeito à possibilidade do pai desfazer, a qualquer momento, a relação paterno-filial pela ausência do dado biológico por que: (i) o exercício deste direito é mutilador de sua identidade e dignidade humana; (ii) a posse de estado de filho confirma a presunção pater is est; (iii) o estado civil de filho deve se tornar certo e estável em um curto período de tempo. Sustenta-se que é imperioso o afastamento por inconstitucionalidade material da regra do artigo 1.601 do Código Civil e a aplicação analógica do prazo de quatro anos previsto no artigo 1.614 do Código Civil. De lege ferenda propõe-se a elaboração de uma norma que fixe um prazo decadencial para que o marido e pai possa exercer o direito potestativo de negar a paternidade.

Solubility and Diffusivity of Water in Lunar Basalt, and Chemical Zonation in Olivine-Hosted Melt Inclusions

I report the solubility and diffusivity of water in lunar basalt and an iron-free basaltic analogue at 1 atm and 1350 °C. Such parameters are critical for understanding the degassing histories of lunar pyroclastic glasses. Solubility experiments have been conducted over a range of fO₂ conditions from three log units below to five log units above the iron-wüstite buffer (IW) and over a range of pH₂/pH₂O from 0.03 to 24. Quenched experimental glasses were analyzed by Fourier transform infrared spectroscopy (FTIR) and secondary ionization mass spectrometry (SIMS) and were found to contain up to ~420 ppm water. Results demonstrate that, under the conditions of our experiments: (1) hydroxyl is the only H-bearing species detected by FTIR; (2) the solubility of water is proportional to the square root of pH₂O in the furnace atmosphere and is independent of fO₂ and pH₂/pH₂O; (3) the solubility of water is very similar in both melt compositions; (4) the concentration of H₂ in our iron-free experiments is <3 ppm, even at oxygen fugacities as low as IW-2.3 and pH₂/pH₂O as high as 24; and (5) SIMS analyses of water in iron-rich glasses equilibrated under variable fO₂ conditions can be strongly influenced by matrix effects, even when the concentrations of water in the glasses are low. Our results can be used to constrain the entrapment pressure of the lunar melt inclusions of Hauri et al. (2011).

Diffusion experiments were conducted over a range of fO₂ conditions from IW-2.2 to IW+6.7 and over a range of pH₂/pH₂O from nominally zero to ~10. The water concentrations measured in our quenched experimental glasses by SIMS and FTIR vary from a few ppm to ~430 ppm. Water concentration gradients are well described by models in which the diffusivity of water (D^*_water) is assumed to be constant. The relationship between D^*_water and water concentration is well described by a modified speciation model (Ni et al. 2012) in which both molecular water and hydroxyl are allowed to diffuse. The success of this modified speciation model for describing our results suggests that we have resolved the diffusivity of hydroxyl in basaltic melt for the first time. Best-fit values of D^*_water for our experiments on lunar basalt vary within a factor of ~2 over a range of pH₂/pH₂O from 0.007 to 9.7, a range of fO₂ from IW-2.2 to IW+4.9, and a water concentration range from ~80 ppm to ~280 ppm. The relative insensitivity of our best-fit values of D^*_water to variations in pH₂ suggests that H₂ diffusion was not significant during degassing of the lunar glasses of Saal et al. (2008). D^*_water during dehydration and hydration in H₂/CO₂ gas mixtures are approximately the same, which supports an equilibrium boundary condition for these experiments. However, dehydration experiments into CO₂ and CO/CO₂ gas mixtures leave some scope for the importance of kinetics during dehydration into H-free environments. The value of D^*_water chosen by Saal et al. (2008) for modeling the diffusive degassing of the lunar volcanic glasses is within a factor of three of our measured value in our lunar basaltic melt at 1350 °C.

In Chapter 4 of this thesis, I document significant zonation in major, minor, trace, and volatile elements in naturally glassy olivine-hosted melt inclusions from the Siqueiros Fracture Zone and the Galapagos Islands. Components with a higher concentration in the host olivine than in the melt (MgO, FeO, Cr₂O₃, and MnO) are depleted at the edges of the zoned melt inclusions relative to their centers, whereas except for CaO, H₂O, and F, components with a lower concentration in the host olivine than in the melt (Al₂O₃, SiO₂, Na₂O, K₂O, TiO₂, S, and Cl) are enriched near the melt inclusion edges. This zonation is due to formation of an olivine-depleted boundary layer in the adjacent melt in response to cooling and crystallization of olivine on the walls of the melt inclusions concurrent with diffusive propagation of the boundary layer toward the inclusion center.

Concentration profiles of some components in the melt inclusions exhibit multicomponent diffusion effects such as uphill diffusion (CaO, FeO) or slowing of the diffusion of typically rapidly diffusing components (Na₂O, K₂O) by coupling to slow diffusing components such as SiO₂ and Al₂O₃. Concentrations of H2O and F decrease towards the edges of some of the Siqueiros melt inclusions, suggesting either that these components have been lost from the inclusions into the host olivine late in their cooling histories and/or that these components are exhibiting multicomponent diffusion effects.

A model has been developed of the time-dependent evolution of MgO concentration profiles in melt inclusions due to simultaneous depletion of MgO at the inclusion walls due to olivine growth and diffusion of MgO in the melt inclusions in response to this depletion. Observed concentration profiles were fit to this model to constrain their thermal histories. Cooling rates determined by a single-stage linear cooling model are 150–13,000 °C hr^-1 from the liquidus down to ~1000 °C, consistent with previously determined cooling rates for basaltic glasses; compositional trends with melt inclusion size observed in the Siqueiros melt inclusions are described well by this simple single-stage linear cooling model. Despite the overall success of the modeling of MgO concentration profiles using a single-stage cooling history, MgO concentration profiles in some melt inclusions are better fit by a two-stage cooling history with a slower-cooling first stage followed by a faster-cooling second stage; the inferred total duration of cooling from the liquidus down to ~1000 °C is 40 s to just over one hour.

Based on our observations and models, compositions of zoned melt inclusions (even if measured at the centers of the inclusions) will typically have been diffusively fractionated relative to the initially trapped melt; for such inclusions, the initial composition cannot be simply reconstructed based on olivine-addition calculations, so caution should be exercised in application of such reconstructions to correct for post-entrapment crystallization of olivine on inclusion walls. Off-center analyses of a melt inclusion can also give results significantly fractionated relative to simple olivine crystallization.

All melt inclusions from the Siqueiros and Galapagos sample suites exhibit zoning profiles, and this feature may be nearly universal in glassy, olivine-hosted inclusions. If so, zoning profiles in melt inclusions could be widely useful to constrain late-stage syneruptive processes and as natural diffusion experiments.