962 resultados para Propagation of Singularities


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In this thesis, we investigated the magnonic and photonic structures that exhibit the so-called deterministic disorder. Speci cally, we studied the effects of the quasiperiodicity, associated with an internal structural symmetry, called mirror symmetry, on the spectra of photonics and magnonics multilayer. The quasiperiodicity is introduced when stacked layers following the so-called substitutional sequences. The three sequences used here were the Fibonacci sequence, Thue-Morse and double-period, all with mirror symmetry. Aiming to study the propagation of light waves in multilayer photonic, and spin waves propagation in multilayer magnonic, we use a theoretical model based on transfer matrix treatment. For the propagation of light waves, we present numerical results that show that the quasiperiodicity associated with a mirror symmetry greatly increases the intensity of transmission and the transmission spectra exhibit a pro le self-similar. The return map plotted for this system show that the presence of internal symmetry does not alter the pattern of Fibonacci maps when compared with the case without symmetry. But when comparing the maps of Thue-Morse and double-time sequences with their case without the symmetry mirror, is evident the change in the pro le of the maps. For magnetic multilayers, we work with two di erent systems, multilayer composed of a metamagnetic material and a non-magnetic material, and multilayers composed of two cubic Heisenberg ferromagnets. In the rst case, our calculations are carried out in the magnetostatic regime and calculate the dispersion relation of spin waves for the metamgnetic material considered FeBr2. We show the e ect of mirror symmetry in the spectra of spin waves, and made the analysis of the location of bulk bands and the scaling laws between the full width of the bands allowed and the number of layers of unit cell. Finally, we calculate the transmission spectra of spin waves in quasiperiodic multilayers consisting of Heisenberg ferromagnets. The transmission spectra exhibit self-similar patterns, with regions of scaling well-de ned in frequency and the return maps indicates only dependence of the particular sequence used in the construction of the multilayer

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The geological modeling allows, at laboratory scaling, the simulation of the geometric and kinematic evolution of geological structures. The importance of the knowledge of these structures grows when we consider their role in the creation of traps or conduits to oil and water. In the present work we simulated the formation of folds and faults in extensional environment, through physical and numerical modeling, using a sandbox apparatus and MOVE2010 software. The physical modeling of structures developed in the hangingwall of a listric fault, showed the formation of active and inactive axial zones. In consonance with the literature, we verified the formation of a rollover between these two axial zones. The crestal collapse of the anticline formed grabens, limited by secondary faults, perpendicular to the extension, with a curvilinear aspect. Adjacent to these faults we registered the formation of transversal folds, parallel to the extension, characterized by a syncline in the fault hangingwall. We also observed drag folds near the faults surfaces, these faults are parallel to the fault surface and presented an anticline in the footwall and a syncline hangingwall. To observe the influence of geometrical variations (dip and width) in the flat of a flat-ramp fault, we made two experimental series, being the first with the flat varying in dip and width and the second maintaining the flat variation in width but horizontal. These experiments developed secondary faults, perpendicular to the extension, that were grouped in three sets: i) antithetic faults with a curvilinear geometry and synthetic faults, with a more rectilinear geometry, both nucleated in the base of sedimentary pile. The normal antithetic faults can rotate, during the extension, presenting a pseudo-inverse kinematics. ii) Faults nucleated at the top of the sedimentary pile. The propagation of these faults is made through coalescence of segments, originating, sometimes, the formation of relay ramps. iii) Reverse faults, are nucleated in the flat-ramp interface. Comparing the two models we verified that the dip of the flat favors a differentiated nucleation of the faults at the two extremities of the mater fault. V These two flat-ramp models also generated an anticline-syncline pair, drag and transversal folds. The anticline was formed above the flat being sub-parallel to the master fault plane, while the syncline was formed in more distal areas of the fault. Due the geometrical variation of these two folds we can define three structural domains. Using the physical experiments as a template, we also made numerical modeling experiments, with flat-ramp faults presenting variation in the flat. Secondary antithetic, synthetic and reverse faults were generated in both models. The numerical modeling formed two folds, and anticline above the flat and a syncline further away of the master fault. The geometric variation of these two folds allowed the definition of three structural domains parallel to the extension. These data reinforce the physical models. The comparisons between natural data of a flat-ramp fault in the Potiguar basin with the data of physical and numerical simulations, showed that, in both cases, the variation of the geometry of the flat produces, variation in the hangingwall geometry

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In vitro fertilization, as a biotechnology applied to domestic and wild felids, is a valuable tool not only for the technique's improvement but also for the treatment of infertility and propagation of some populations. The previous knowledge of the physiology of the species and the understanding of mechanisms that interfere in their results are necessary for the technique success, as daylength influence, oocyte and spermatic selection and in vitro maturation.

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The propagation of a free scalar field phi with mass m in a curved background is generally described by the equation (g(munu) delmudelnu + m(2) + xiR)phi = 0. There exist some arguments in the literature that seem to favor the conformal coupling to the detriment of the minimal one. However, the majority of these claims axe inconclusive. Here we show that the exact Foldy Wouthuysen transformation for spin-0 particle coupled to a wide class of static spacetime metrics exists independently of the value of. Nevertheless, if the coupling is of the conformal type, the gravitational Darwin-like term has an uncomplicated structure and it is proportional to the corresponding term in the fermionic case. In addition, an independent computation of this term, which has its origin in the zitterbewegung fluctuation of the boson's position with the mean square <(deltar)(2)> approximate to 1/m(2), gives a result that coincides with that obtained using the aforementioned exact transformation with xi = 1/6.

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In this paper we discuss the nonlinear propagation of waves of short wavelength in dispersive systems. We propose a family of equations that is likely to describe the asymptotic behaviour of a large class of systems. We then restrict our attention to the analysis of the simplest nonlinear short-wave dynamics given by U-0 xi tau, = U-0 - 3(U-0)(2). We integrate numerically this equation for periodic and non-periodic boundary conditions, and we find that short waves may exist only if the amplitude of the initial profile is not too large.

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We shall consider a coupled nonlinear Schrodinger equation- Bloch system of equations describing the propagation of a single pulse through a nonlinear dispersive waveguide in the presence of resonances; this could be, for example, a doped optical fibre. By making use of the integrability of the dynamic equations, we shall apply the finite-gap integration method to obtain periodic solutions for this system. Next, we consider the problem of the formation of solitons at a sharp front pulse and, by means of the Whitham modulational theory, we derive the amplitude and velocity of the largest soliton.

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We address the question about the velocity of signals carried by Bessel beams wave packets propagating in vacuum and having well defined wavefronts in time. We find that this problem in analogous to that of propagation of usual plane wave packets within dispersive media and conclude that the signal velocity cannot be superluminal. (C) 2001 Elsevier B.V. B.V. All rights reserved.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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The Poincar, group generalizes the Galilei group for high-velocity kinematics. The de Sitter group is assumed to go one step further, generalizing Poincar, as the group governing high-energy kinematics. In other words, ordinary special relativity is here replaced by de Sitter relativity. In this theory, the cosmological constant I > is no longer a free parameter, and can be determined in terms of other quantities. When applied to the whole universe, it is able to predict the value of I > and to explain the cosmic coincidence. When applied to the propagation of ultra-high energy photons, it gives a good estimate of the time delay observed in extragalactic gamma-ray flares. It can, for this reason, be considered a new paradigm to approach the quantum gravity problem.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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O monitoramento da atenuação natural em áreas contaminadas tem se mostrado uma técnica alternativa e de baixo custo para a remediação de áreas contaminadas. A degradação por microorganismos é um dos processos mais importantes na atenuação natural de contaminantes, especialmente compostos de fase líquida não aquosa (NAPL). em muitos casos, a ação efetiva deste processo resulta na geração de ácidos orgânicos, que sob elevadas concentrações ocasionam a dissolução de minerais presentes em subsuperfície onde se encontra a contaminação, com conseqüente liberação de íons. O aumento na quantidade de íons colabora para o aumento da condutividade elétrica do meio. O princípio físico da técnica de Radar de Penetração no Solo (GPR) é a emissão de ondas eletromagnéticas de alta freqüência. A propagação da onda eletromagnética é condicionada à freqüência de sinal emitido e as propriedades elétricas do meio. O aumento da condutividade elétrica do meio resulta na atenuação do sinal e, por conseqüência, na diminuição da profundidade de penetração da onda eletromagnética. Este fator permite o monitoramento de áreas contaminadas sob atenuação natural a partir de análises temporais com o GPR. Este trabalho apresenta um estudo comparativo entre perfis de GPR adquiridos em 1998 e 2003 em uma área contaminada por compostos de fase líquida leve não aquosa (LNAPL), sob atenuação natural. Os resultados indicam um aumento da condutividade elétrica do meio, a partir da atenuação acentuada do sinal GPR observada nas seções de 2003. Este aumento pode estar associado à liberação de íons por dissolução de minerais, pelo ataque de ácidos orgânicos resultantes do processo de biodegradação.

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O objetivo deste trabalho foi realizar caracterização física e avaliar o efeito de substratos à base de serragem e dois recipientes no crescimento de mudas de cacaueiro. O delineamento experimental foi em blocos casualizados, em esquema fatorial 2 x 4 x 2. Os tratamentos foram obtidos da combinação de serragens originadas de dois locais: municípios de Una e Camacan, no Estado da Bahia, quatro proporções (v:v) de serragem e areia: 1:0; 8:1; 4:1 e 2:1 e dois recipientes de crescimento (tubetes de 288 cm³ e sacos de polietileno de 840 cm³). Antes do plantio, amostras dos substratos foram retiradas para análises físicas. Foram usadas miniestacas de 4 a 6 cm de comprimento do clone Trinidad Select Hybrid (TSH 1188). Inicialmente, as miniestacas foram tratadas na base com AIB 6.000 mg kg-1, em seguida foram inseridas em tubetes preenchidos com os substratos e mantidas em câmara de nebulização. Após quarenta dias, as miniestacas foram retiradas da câmara e transferidas para crescimento, em casa de vegetação, onde parte foi mantida nos respectivos tubetes e outra transplantada em sacos de polietileno de 840 cm³ preenchidos com os mesmos tratamentos. Após cinco meses, em casa de vegetação, as mudas foram avaliadas quanto à altura da planta, diâmetro do caule, massa da matéria seca da parte aérea e das raízes, número de folhas e área foliar das plantas. Na análise física dos substratos, verificou-se que a distribuição do tamanho de partículas foi diferenciada entre as serragens e a proporção de areia. As densidades seca, úmida e de partícula aumentaram, enquanto o teor de matéria orgânica e a porosidade total foram reduzidos pela adição de areia às serragens. O transplante de miniestacas enraizadas de cacaueiro, clone TSH 1188, para sacos com substrato preparado com serragem coletada no município de Una-BA, nas proporções serragem:areia 4:1 e 2:1, possibilitou maior crescimento das plantas, sendo,portanto, recomendados para produção de mudas.

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Na propagação vegetativa através de estacas caulinares, a época de retirada dos ramos, que serão utilizados na confecção das estacas, tem grande influência sobre seu enraizamento. Outro fator de grande relevância é o tratamento auxínico, realizado nas estacas, que promove a formação de raízes. O presente trabalho teve como objetivo, verificar a ação das auxinas e do boro e a influência da época de coleta dos ramos de cafeeiro, sobre o enraizamento de ramos ortotrópicos semi-lenhosos de café (Coffea arabica L. cv Mundo Novo). Para tal, o experimento foi montado mensalmente, realizando-se as seguintes medidas , mediante coleta das estacas, após 90 dias do plantio: número de estacas enraizadas e número total de raízes formadas. À partir dos resultados obtidos, concluiu-se que, a melhor época de coleta dos ramos é na estação chuvosa. Além disso, tratamentos com NAA à 200 ppm mais boro, também promovem uma alta porcentagem de enraizamento.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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By using the reductive perturbation method of Taniuti with the introduction of an infinite sequence of slow time variables tau(1), tau(3), tau(5), ..., we study the propagation of long surface-waves in a shallow inviscid fluid. The Korteweg-de Vries (KdV) equation appears as the lowest order amplitude equation in slow variables. In this context, we show that, if the lowest order wave amplitude zeta(0) satisfies the KdV equation in the time tau(3), it must satisfy the (2n+1)th order equation of the KdV hierarchy in the time tau(2n+1), With n = 2, 3, 4,.... AS a consequence of this fact, we show with an explicit example that the secularities of the evolution equations for the higher-order terms (zeta(1), zeta(2),...) of the amplitude can be eliminated when zeta(0) is a solitonic solution to the KdV equation. By reversing this argument, we can say that the requirement of a secular-free perturbation theory implies that the amplitude zeta(0) satisfies the (2n+1)th order equation of the KdV hierarchy in the time tau(2n+1) This essentially means that the equations of the KdV hierarchy do play a role in perturbation theory. Thereafter, by considering a solitary-wave solution, we show, again with an explicit, example that the elimination of secularities through the use of the higher order KdV hierarchy equations corresponds, in the laboratory coordinates, to a renormalization of the solitary-wave velocity. Then, we conclude that this procedure of eliminating secularities is closely related to the renormalization technique developed by Kodama and Taniuti.