I. Non-linear effects in a self-consistent calculation of SU_3 symmetry breaking in strong interaction coupling constants. II. Direct-channel reggeization of strong interaction scattering amplitudes

The thesis is divided into two parts. Part I generalizes a self-consistent calculation of residue shifts from SU₃ symmetry, originally performed by Dashen, Dothan, Frautschi, and Sharp, to include the effects of non-linear terms. Residue factorizability is used to transform an overdetermined set of equations into a variational problem, which is designed to take advantage of the redundancy of the mathematical system. The solution of this problem automatically satisfies the requirement of factorizability and comes close to satisfying all the original equations.

Part II investigates some consequences of direct channel Regge poles and treats the problem of relating Reggeized partial wave expansions made in different reaction channels. An analytic method is introduced which can be used to determine the crossed-channel discontinuity for a large class of direct-channel Regge representations, and this method is applied to some specific representations.

It is demonstrated that the multi-sheeted analytic structure of the Regge trajectory function can be used to resolve apparent difficulties arising from infinitely rising Regge trajectories. Also discussed are the implications of large collections of "daughter trajectories."

Two things are of particular interest: first, the threshold behavior in direct and crossed channels; second, the potentialities of Reggeized representations for us in self-consistent calculations. A new representation is introduced which surpasses previous formulations in these two areas, automatically satisfying direct-channel threshold constraints while being capable of reproducing a reasonable crossed channel discontinuity. A scalar model is investigated for low energies, and a relation is obtained between the mass of the lowest bound state and the slope of the Regge trajectory.

Non-Linear Scale Interactions in a Forced Turbulent Boundary Layer

This thesis explores the dynamics of scale interactions in a turbulent boundary layer through a forcing-response type experimental study. An emphasis is placed on the analysis of triadic wavenumber interactions since the governing Navier-Stokes equations for the flow necessitate a direct coupling between triadically consist scales. Two sets of experiments were performed in which deterministic disturbances were introduced into the flow using a spatially-impulsive dynamic wall perturbation. Hotwire anemometry was employed to measure the downstream turbulent velocity and study the flow response to the external forcing. In the first set of experiments, which were based on a recent investigation of dynamic forcing effects in a turbulent boundary layer, a 2D (spanwise constant) spatio-temporal normal mode was excited in the flow; the streamwise length and time scales of the synthetic mode roughly correspond to the very-large-scale-motions (VLSM) found naturally in canonical flows. Correlation studies between the large- and small-scale velocity signals reveal an alteration of the natural phase relations between scales by the synthetic mode. In particular, a strong phase-locking or organizing effect is seen on directly coupled small-scales through triadic interactions. Having characterized the bulk influence of a single energetic mode on the flow dynamics, a second set of experiments aimed at isolating specific triadic interactions was performed. Two distinct 2D large-scale normal modes were excited in the flow, and the response at the corresponding sum and difference wavenumbers was isolated from the turbulent signals. Results from this experiment serve as an unique demonstration of direct non-linear interactions in a fully turbulent wall-bounded flow, and allow for examination of phase relationships involving specific interacting scales. A direct connection is also made to the Navier-Stokes resolvent operator framework developed in recent literature. Results and analysis from the present work offer insights into the dynamical structure of wall turbulence, and have interesting implications for design of practical turbulence manipulation or control strategies.

On the uniqueness of singular solutions to boundary-initial value problems in linear elastodynamics

This investigation deals with certain generalizations of the classical uniqueness theorem for the second boundary-initial value problem in the linearized dynamical theory of not necessarily homogeneous nor isotropic elastic solids. First, the regularity assumptions underlying the foregoing theorem are relaxed by admitting stress fields with suitably restricted finite jump discontinuities. Such singularities are familiar from known solutions to dynamical elasticity problems involving discontinuous surface tractions or non-matching boundary and initial conditions. The proof of the appropriate uniqueness theorem given here rests on a generalization of the usual energy identity to the class of singular elastodynamic fields under consideration.

Following this extension of the conventional uniqueness theorem, we turn to a further relaxation of the customary smoothness hypotheses and allow the displacement field to be differentiable merely in a generalized sense, thereby admitting stress fields with square-integrable unbounded local singularities, such as those encountered in the presence of focusing of elastic waves. A statement of the traction problem applicable in these pathological circumstances necessitates the introduction of "weak solutions'' to the field equations that are accompanied by correspondingly weakened boundary and initial conditions. A uniqueness theorem pertaining to this weak formulation is then proved through an adaptation of an argument used by O. Ladyzhenskaya in connection with the first boundary-initial value problem for a second-order hyperbolic equation in a single dependent variable. Moreover, the second uniqueness theorem thus obtained contains, as a special case, a slight modification of the previously established uniqueness theorem covering solutions that exhibit only finite stress-discontinuities.

Prevalência de transtornos mentais comuns : estresse no ambiente de trabalho e atividade física em militares

Esta tese inclui dois artigos que tiveram por objetivo investigar a relação de estresse no ambiente de trabalho com a prevalência de transtornos mentais comuns (TMC) e a relação de ambos com os níveis de prática de atividade física em militares do Exército Brasileiro. No primeiro artigo, a variável dependente foi TMC e a primeira variável independente foi o estresse no ambiente de trabalho, avaliado sob o modelo esforço-recompensa em desequilíbrio (effort-reward imbalance: ERI). TMC foram avaliados por meio do General Health Questionnaire (GHQ-12). Foram estimadas razões de prevalência (RP) por regressão de Poisson para imprimir robustez aos intervalos de confiança (95%). A prevalência de TMC foi de 33,2% (IC95%:29,1;37,3). O estudo mostrou, após ajuste por idade, educação, renda, estilo de vida, autopercepção de saúde, agravos à saúde autorreferidos e características ocupacionais, que estresse no ambiente de trabalho estava forte e independentemente associado a TMC, exibindo razões de prevalências (RP) que variaram entre os níveis de estresse, oscilando de 1,60 a 2,01. O posto de tenente estava associado a TMC, mesmo após ajuste pelas covariáveis (RP = 2,06; IC95% 1,2 4,1). Os resultados indicaram que excesso de comprometimento é um componente importante do estresse no trabalho. Estes achados foram consistentes com a literatura e contribuem com o conhecimento sobre o estado de saúde mental dos militares das Forças Armadas no Brasil, destacando que o estresse no ambiente de trabalho e que o desempenho das funções ocupacionais, do posto de Tenente, podem significar risco maior para TMC nesse tipo de população. O segundo artigo teve por objetivo investigar a associação de estresse no ambiente de trabalho e TMC com a prática de atividade física habitual entre militares das Forças Armadas. A atividade física (variável dependente) foi estimada por meio do Questionário de Baecke, um dos instrumentos mais utilizados em estudos epidemiológicos sobre atividade física. Estresse no ambiente de trabalho, TMC e posto foram as variáveis independentes, avaliadas conforme descrição mencionada acima. Buscou-se avaliar a associação destas variáveis e com a prática de atividade física no pessoal militar. Para tanto, utilizou-se o método de regressão linear múltipla, via modelos lineares generalizados. Após controlar por características socioeconomicas e demográficas, estresse no ambiente de trabalho, caracterizado por "altos esforços e baixa recompensas", permaneceu associado a mais atividade física ocupacional (b = 0,224 IC95% 0,098; 0,351) e a menos atividade física no lazer (b = -0,198; IC95% -0,384; -0,011). TMC permaneceram associados a menores níveis de atividade física nos esportes/exercícios no lazer (b = -0,184; IC95% -0,321; -0,046). Posto permaneceu associado a maiores níveis de atividade física ocupacional (b = 0,324 IC95% 0,167; 0,481). Até onde se sabe, este foi o primeiro estudo a avaliar a relação de aspectos psicossociais e ocupacionais envolvidos na prática de atividade física em militares no Brasil e no exterior. Os resultados sugerem que o ambiente de trabalho e a saúde mental estão associados à prática de atividade física de militares, que se relaciona com a condição de aptidão física.