Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 93-98).

Dissertation (Ph.D.) -- Worcester Polytechnic Institute. / Keywords: ladder approximation; inelastic process; Bethe-Salpeter; BSE; nucleon; scalar field; pion. Includes bibliographical references (p.161-163).

x, 164 p. : ill. A print copy of this thesis is available through the UO Libraries. Search the library catalog for the location and call number. / We study the topology of the space of metrics of positive scalar curvature on a compact manifold. The main tool we use for constructing such metrics is the surgery technique of Gromov and Lawson. We extend this technique to construct families of positive scalar curvature cobordisms and concordances which are parametrised by Morse functions and later, by generalised Morse functions. We then use these results to study concordances of positive scalar curvature metrics on simply connected manifolds of dimension at least five. In particular, we describe a subspace of the space of positive scalar curvature concordances, parametrised by generalised Morse functions. We call such concordances Gromov-Lawson concordances. One of the main results is that positive scalar curvature metrics which are Gromov-Lawson concordant are in fact isotopic. This work relies heavily on contemporary Riemannian geometry as well as on differential topology, in particular pseudo-isotopy theory. We make substantial use of the work of Eliashberg and Mishachev on wrinkled maps and of results by Hatcher and Igusa on the space of generalised Morse functions. / Committee in charge: Boris Botvinnik, Chairperson, Mathematics; James Isenberg, Member, Mathematics; Hal Sadofsky, Member, Mathematics; Christopher Phillips, Member, Mathematics; Michael Kellman, Outside Member, Chemistry

Les matrices vitreuses aluminosilicatées de lanthanides {SiO2 –Al2O3 – (CaO) – Y2O3 – La2O3} constituent, une matrice potentielle d’intérêt nucléaire, dans le cadre du stockage des déchets des actinides. Alors que de nombreuses études sont encore menées pour établir leurs propriétés macroscopiques (durabilité, mécanismes de vitrification, etc…), nous nous sommes attachés à décrire l’environnement proche des noyaux qui composent le réseau, c'est-à-dire leur structure à une échelle locale. Les verres aluminosilicatés sont constitués de tétraèdres d’aluminium et de silicium. Plus précisément, ils sont constitués d’entités Qn(mAl) silicium et d’entités qn(mSi) aluminium. Cependant, il est rare d’aboutir à une description en ces termes. La Résonance Magnétique Nucléaire haute résolution solide (RMN MAS 27Al et 29Si) est un des moyens d’y parvenir. Nous proposons ici le développement de séquences d’impulsions permettant l’identification de ces unités puis la description de leurs connectivités via leurs liaisons chimiques, basées sur le filtrage des cohérences MultiQuanta associées aux couplages scalaires J2 (Si-O-Si) et J2 (Si-O-Al). Cette approche RMN permet donc d’affiner la compréhension des réseaux aluminosilicatés quels qu’ils soient. Couplé à la spectroscopie RAMAN, elle a pu ensuite nous servir comme référence pour établir la structure et le comportement à long terme de ces matrices, suite à des expériences de lixiviation statique et d’irradiation a pratiquées au cyclotron du CEMHTI. / Aluminosilicate glasses of rare earth {SiO2 –Al2O3 – (CaO) – Y2O3 – La2O3} can be considered like a potential matrix of nuclear waste. This type of glass appears to be suitable matrix for the specific immobilization of trivalent actinides. Whereas many studies dealt with the macroscopic properties of these matrix (durability, mechanism, etc…), we investigate here the local environment surrounding the nucleus constituting the vitreous network. Thus, we can say that we investigate the local structure of the glass. Aluminosilicate glasses are constituted with silicon and aluminium tetrahedra. They are more especially based on a mixture of silicon Qn(mAl) and aluminium qn(mSi) units. Up to now, few experiments allow to describe the vitreous network with this terminology. A solution is the High Resolution Solid State NMR : 27Al and 29Si 1D or 2D MAS NMR experiments. We proposed here to provide and improve NMR pulse sequence to evidence NMR signatures of chemically bounded Al-O-Si and Si-O-Si molecular motifs and to establish an approximate picture of medium range order, thanks to 27Al/29Si heteronuclear and 29Si/29Si homonuclear NMR experiments associated to MultiQuantum filtering based on indirect scalar coupling J2 Al-O-Si/J2 (Si-O-Si) and. Combining RAMAN spectroscopy, Spin counting and MultiQuantum filtering allow establishing an approximate and new picture of medium range order in aluminosilicate compounds. Thus, they offer a reference to describe the changes in the structure and the long term behavior of our aluminosilicate glasses of rare earth, induced by static lixiviation and a irradiation practiced to cyclotron in CEMHTI laboratory .

A existência de um méson escalar-isoescalar leve, conhecido como ?, foi proposta pela primeira vez na década de 60. A partícula tinha então um papel importante na construção teórica das interações ?? mas, apesar dos esforços experimentais, ela não foi detectada nos anos que se seguiram. Essa situação foi radicalmente alterada em 2001, quando uma ressonância escalar foi descoberta nos canais ?+?- do decaimento D+ -> ?+?-?+ e recebeu o rótulo ?(500). Sua existência é bem estabelecida hoje em dia. Contudo, no tratamento dos dados dos vários grupos experimentais são empregadas expressões com pouca base teórica e, por isso, os valores de sua massa e largura ainda são mal conhecidos. Neste tipo de decaimento, a formação da ressonância pode se dar no vértice fraco. Em sua subseqüente propagação, ocorrem as chamadas interações de estado final, cuja descrição não é trivial. Normalmente, essas interações não são levadas em conta de maneira criteriosa na análise de dados experimentais. Neste trabalho introduzimos uma função _(s) que descreve a propagação e decaimento da ressonância em presença das interações de estado final. No regime elástico, a fase de _(s) é determinada pelo chamado teorema de Watson, segundo o qual ela deve ser a mesma do espalhamento. Conseguimos estabelecer, sem ambigüidades, como a informação do espalhamento deve ser usada de forma a determinar não somente a fase de _(s), mas também seu módulo. Nosso principal resultado é uma expressão para _(s) em termos da fase elástica e de uma outra fase relacionada a uma integral de loop bem controlada. Três casos particulares foram explorados numericamente: os modelos sigma linear e não linear e ainda um modelo fenomenológico que leva em conta o acoplamento de canais p´?on-p´?on e k´aon-k´aon. Em consonância com a teoria quântica de campos, nosso resultado incorpora a unitariedade, considera a ressonância como grau de liberdade explícito e representa, ainda, uma generalização do procedimento usual de unitarizacao pela matriz K. Por permitir uma ligação clara entre espalhamento e produção, a função _(s) pode ser útil na análise de dados experimentais e ajudar na determinação da posição do pólo do ? e de outras ressonâncias escalares. / The existence of a light scalar-isoscalar meson, known as ?, was suggested in the 60\'s. This particle played an important role in the theoretical construction of ?? interactions but, in spite of all experimental effort, it failed to be detected. This scenario changed radically in 2001, when a scalar-isoscalar resonance was discovered in the ?+?- channel of the D+ -> ?+?-?+ decay and was called ?(500). Nowadays, its existence is rather well established. However, in the analysis of experimental data, expressions loosely based on theory are employed and therefore its mass and width are still not well known. In this kind of decay, the production of the resonance may occur at the weak vertex. When it propagates, final state interactions take place. Usually these interactions are not properly taken into account in data analysis. In this work, we introduce a function _(s), which describes the propagation and decay of the resonance in the presence of the final state interactions. In the elastic regime, the phase of _(s) is determined by the Watson\'s theorem, which states that it must be the same as the scattering phase. We were able to establish, unambiguously, how the information from scattering should be used to determine not only the phase of _(s) but also its modulus. Our main result is an expression for _(s) in terms of the elastic phase and another one related to a well controlled loop integral. Three special cases are explored numerically, namely: the linear and non linear sigma models and a phenomenological model that takes into account the coupling between pion-pion and kaon-kaon channels. In agreement with quantum field theory, our result encompasses unitarity, treats the resonance as an explicit degree of freedom and, moreover, corresponds to a generalisation of the usual K-matrix unitarization procedure. Since it represents a clear way to relate scattering and production, our function _(s) can be useful in data analysis and may be instrumental in the determination of the pole position of the ? as well as other scalar resonances.

As equações de movimento de uma partícula (nucleon) interagindo com um campo escalar (mesônico) são obtidas pelo método dos momentos do tensor energia-momentum, de Papapetrou. Depois de um estudo detalhado do campo de radiação mesônico estabelecemos a expressão da força de reação de radiação do campo sobre a partícula. / The equations of motion of a particle (nucleon) interacting with a scalar (mesonic) field are derived by the energy-momentum tensor moments method of Papapetrou. After a detailed study of the mesonic radiation field we establish an expression of the reactive radiation force on the field upon the particle.

Magister Artium (Psychology) - MA(Psych) / There is an overwhelming concern about substance use amongst adolescents across the world, especially in low socio-economic status communities. The South African Substance Use Contextual Risk Instrument was developed to capture the contextual risk factors for adolescents in low socio-economic status South African communities. This study is part of a larger study which aimed to develop and conduct the initial validation of the instrument. In piloting the instrument, both English and isiXhosa mother tongue speakers were tested using the English version since the instrument is only available in English. The equivalence of the measure across the English and isiXhosa mother tongue speakers is however unknown. The purpose of this study is therefore to assess the scalar equivalence of the English version across the English and isiXhosa mother tongue speakers. The total sample was 674 consisting of 420 English and 247 isiXhosa language groups from low socio-economic status communities in Cape Town. The study employed the Hoteling’s T square test (to assess significant difference of means between the groups), the equality of reliabilities (to assess the significance of differences between the scale reliabilities) and the Tucker’s Phi coefficient of congruence (to assess the congruence of the construct across the two groups). In assessing the mean differences, the results revealed that there were significant mean differences, with the isiXhosa-speaking group performing significantly lower than the English-speaking group for most of the scales. Internal consistency was also generally lower for the isiXhosa group. The structural congruence revealed that there was incongruence between the two language groups for most of the scales with an exception of two of the twenty one scales. It can thus be concluded that the measure cannot be accepted as structurally equivalent across the two groups. It is clear that bias exists in the majority of the scales of the SASUCRI and that this version is thus not applicable for an isiXhosa speaking sample. The study recommends that the instrument is adapted for the isiXhosa speaking group. / National Research Foundation (NRF)

Inflationary cosmology is the leading candidate for explaining the homogeneity, isotropy and spatial flatness of the universe whilst also providing the mechanism for the seeding of large scale structure. The central theme of inflationary dynamics involves the evolution of a scalar field, called the inflaton, such that its potential drives an accelerated expansion. Warm inflation is the dynamical realization in which interactions between the inflaton and other fields can lead to dissipation of inflaton energy to other dynamical degrees of freedom. Heavy fields coupled to the inflaton mediate the transfer of inflaton energy to light degrees of freedom which thermalize and heat the universe. This damps the inflaton’s motion and allows for the potential formation of a thermal bath during the inflationary period. Hybrid inflation models are a natural way in which warm inflation can be realized, with dissipation of inflaton energy mediated by the waterfall fields to fields in the light sector. In this thesis I outline the dynamics and observational predictions of supersymmetric hybrid inflation driven by radiative corrections in the warm regime. As in the standard cold inflationary scenario inflation ends when the effective mass squared of the waterfall field becomes negative, with the tachyonic instability driving the system to a global minimum in a process called the waterfall transition. I present the effect of including thermal mass corrections to the waterfall fields, and SUSY mass splittings on the quantum effective potential and the resulting dissipation coefficient. I show that including dissipative effects can significantly prolong the inflationary period to produce 50-60 e-folds of inflation with an observationally consistent primordial spectrum. Inflation still requires a microphysical description within a fundamental theory of quantum gravity. This has prompted the search for inflaton candidates within the superabundance of scalar fields present in string theory compactifications, with brane-antibrane inflation in particular emerging as a concrete implementation of SUSY hybrid inflation in a UV complete particle physics model. Inflation proceeds in a brane-antibrane system through the movement of a stack of branes towards a stack of antibranes, with the inflaton field being the interbrane distance. Warm inflation can be implemented in a brane-antibrane system with dissipation of inflaton energy mediated by fields corresponding to strings stretched between the brane and antibrane stacks. It has been shown that this dissipation of inflaton energy in warm inflation can greatly alleviate the η-problem in brane-antibrane scenarios. Whilst these strings mediating dissipation have end points fixed on to both the D3 and D3 stacks, the compact nature of the geometry within which the system is constructed allows these strings to have different winding modes. We investigated how strings with increasing winding number can provide an enhancement to the dissipation coefficient, allowing a significant reduction in the number of branes and antibranes in the warm inflation system, whilst also modifying the inflationary dynamics by reducing the speed at which the system evolves. This may go some way to alleviating the η-problem associated with some constructions of brane-antibrane inflation whilst also potentially providing the best way to motivate the large field multiplicities associated with warm inflation models.

Light scalar fields such as axions and string moduli can play an important role in early-universe cosmology. However, many factors can significantly impact their late-time cosmological abundances. For example, in cases where the potentials for these fields are generated dynamically --- such as during cosmological mass-generating phase transitions --- the duration of the time interval required for these potentials to fully develop can have significant repercussions. Likewise, in scenarios with multiple scalars, mixing amongst the fields can also give rise to an effective timescale that modifies the resulting late-time abundances. Previous studies have focused on the effects of either the first or the second timescale in isolation. In this thesis, by contrast, we examine the new features that arise from the interplay between these two timescales when both mixing and time-dependent phase transitions are introduced together. First, we find that the effects of these timescales can conspire to alter not only the total late-time abundance of the system --- often by many orders of magnitude --- but also its distribution across the different fields. Second, we find that these effects can produce large parametric resonances which render the energy densities of the fields highly sensitive to the degree of mixing as well as the duration of the time interval over which the phase transition unfolds. Finally, we find that these effects can even give rise to a "re-overdamping" phenomenon which causes the total energy density of the system to behave in novel ways that differ from those exhibited by pure dark matter or vacuum energy. All of these features therefore give rise to new possibilities for early-universe phenomenology and cosmological evolution. They also highlight the importance of taking into account the time dependence associated with phase transitions in cosmological settings. In the second part of this thesis, we proceed to study the early-universe cosmology of a Kaluza-Klein (KK) tower of scalar fields in the presence of a mass-generating phase transition, focusing on the time-development of the total tower energy density (or relic abundance) as well as its distribution across the different KK modes. We find that both of these features are extremely sensitive to the details of the phase transition and can behave in a variety of ways significant for late-time cosmology. In particular, we find that the interplay between the temporal properties of the phase transition and the mixing it generates are responsible for both enhancements and suppressions in the late-time abundances, sometimes by many orders of magnitude. We map out the complete model parameter space and determine where traditional analytical approximations are valid and where they fail. In the latter cases we also provide new analytical approximations which successfully model our results. Finally, we apply this machinery to the example of an axion-like field in the bulk, mapping these phenomena over an enlarged axion parameter space that extends beyond those accessible to standard treatments. An important by-product of our analysis is the development of an alternate "UV-based" effective truncation of KK theories which has a number of interesting theoretical properties that distinguish it from the more traditional "IR-based" truncation typically used in the literature.

Lean premixed combustion is at present one of the most promising methods to reduce emissions and to maintain high efficiency in combustion systems. As the emission legislation becomes more stringent, modelling of turbulent premixed combustion has become an important tool for designing efficient and environmentally friendlier combustion systems. However, in order to predict these emissions reliable predictive models are required. One of the methods used for predicting pollutants is the conditional moment closure (CMC), which is suitable to predict pollutants with slow time scales. Despite the fact that CMC has been successfully applied to various non-premixed combustion systems, its application to premixed flames is not fully tested and validated. The main difficulty is associated with the modelling of the conditional scalar dissipation rate (CSDR) of the conditioning scalar, the progress variable. In premixed CMC, this term is an important quantity and represents the rate of mixing at small scales of relevance for combustion. The numerical accuracy of the CMC method depends on the accuracy of the CSDR model. In this study, two different models for CSDR, an algebraic model and an inverse problem model, are validated using two different DNS data sets. The algebraic model along with standard k-ε turbulence modelling is used in the computations of stoichiometric and very lean pilot stabilized Bunsen flames using the RANS-CMC method. A first order closure is used for the conditional mean reaction rate. The computed nonreacting and reacting scalars are in reasonable agreement with the experiments and are consistent with earlier computations using flamlets and transported PDF methods for the stoichiometric flames, and transported PDF methods for the very lean flames. Sensitivity to chemical kinetics mechanism is also assessed.