998 resultados para Equações de Helmholtz
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O guandu (Cajanus cajan (L.) Millsp) é uma leguminosa arbustiva utilizada para adubação verde e como forrageira; seus grãos ricos em proteína servem de alimento animal e humano. No presente experimento objetivou-se estudar o comportamento da germinação de sementes de guandu de dois cultivares (um com e outro sem sementes duras) durante o armazenamento. As sementes recém-colhidas foram embaladas em sacos de papel e armazenadas durante seis anos em condições ambientais de laboratório, sem controle de temperatura e umidade relativa do ar. Logo após a colheita e depois anualmente, foi determinado o teor de água das sementes e realizado o teste de germinação. Os dados de germinação foram submetidos à análise estatística, em delineamento inteiramente ao acaso, considerando as sete avaliações durante o armazenamento como tratamentos, com quatro repetições. As análises de variância foram realizadas separadamente para cada cultivar e a seguir feita análise conjunta. Equações de regressão foram calculadas, escolhendo-se aquelas com melhor ajuste e maior coeficiente de determinação (R²). As sementes das duas cultivares se mantiveram viáveis durante três anos de armazenamento com germinação acima de 70%, seguido de queda, para no sexto ano estar próxima a 10%. A presença de sementes duras ocasiona diferença na germinação dos cultivares no transcorrer do período de armazenamento.
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Este trabalho trata de uma visão panorâmica dos principais métodos utilizados, atualmente, na modelagem matemática de processos biológicos. Esses métodos são muito variados, com enfoques que, às vezes, são determinísticos, utilizando a teoria dos sistemas dinâmicos e, às vezes, são probabilísticos, lançando mão das equações diferenciais estocásticas. Em todos eles, entretanto, três fatores inerentes aos processos biológicos não podem deixar de ser considerados: a complexidade, a imprevisibilidade e a diversidade de escalas temporais.
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The Zubarev equation of motion method has been applied to an anharmonic crystal of O( ,,4). All possible decoupling schemes have been interpreted in order to determine finite temperature expressions for the one phonon Green's function (and self energy) to 0()\4) for a crystal in which every atom is on a site of inversion symmetry. In order to provide a check of these results, the Helmholtz free energy expressions derived from the self energy expressions, have been shown to agree in the high temperature limit with the results obtained from the diagrammatic method. Expressions for the correlation functions that are related to the mean square displacement have been derived to 0(1\4) in the high temperature limit.
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We have calculated the thermodynamic properties of monatomic fcc crystals from the high temperature limit of the Helmholtz free energy. This equation of state included the static and vibrational energy components. The latter contribution was calculated to order A4 of perturbation theory, for a range of crystal volumes, in which a nearest neighbour central force model was used. We have calculated the lattice constant, the coefficient of volume expansion, the specific heat at constant volume and at constant pressure, the adiabatic and the isothermal bulk modulus, and the Gruneisen parameter, for two of the rare gas solids, Xe and Kr, and for the fcc metals Cu, Ag, Au, Al, and Pb. The LennardJones and the Morse potential were each used to represent the atomic interactions for the rare gas solids, and only the Morse potential was used for the fcc metals. The thermodynamic properties obtained from the A4 equation of state with the Lennard-Jones potential, seem to be in reasonable agreement with experiment for temperatures up to about threequarters of the melting temperature. However, for the higher temperatures, the results are less than satisfactory. For Xe and Kr, the thermodynamic properties calculated from the A2 equation of state with the Morse potential, are qualitatively similar to the A 2 results obtained with the Lennard-Jones potential, however, the properties obtained from the A4 equation of state are in good agreement with experiment, since the contribution from the A4 terms seem to be small. The lattice contribution to the thermal properties of the fcc metals was calculated from the A4 equation of state, and these results produced a slight improvement over the properties calculated from the A2 equation of state. In order to compare the calculated specific heats and bulk moduli results with experiment~ the electronic contribution to thermal properties was taken into account~ by using the free electron model. We found that the results varied significantly with the value chosen for the number of free electrons per atom.
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The algebraic expressions for the anharmonic contributions to the Debye-Waller factor up to 0(A ) and 0 L% ) £ where ^ is the scattering wave-vector] have been derived in a form suitable for cubic metals with small ion cores where the interatomic potential extends to many neighbours. This has been achieved in terms of various wave-vector dependent tensors, following the work of Shukla and Taylor (1974) on the cubic anharmonic Helmholtz free energy. The contribution to the various wave-vector dependent tensors from the coulomb and the electron-ion terms in the interatomic metallic potential has been obtained by the Ewald procedure. All the restricted multiple whole B r i l l o u i n zone (B.Z.) sums are reduced to single whole B.Z. sums by using the plane wave representation of the delta function. These single whole B.Z. sums are further reduced to the •%?? portion of the B.Z. following Shukla and Wilk (1974) and Shukla and Taylor (1974). Numerical calculations have been performed for sodium where the Born-Mayer term in the interatomic potential has been neglected because i t is small £ Vosko (1964)3 • *n o^er to compare our calculated results with the experimental results of Dawton (1937), we have also calculated the r a t io of the intensities at different temperatures for the lowest five reflections (110), (200), (220), (310) and (400) . Our calculated quasi-harmonic results agree reasonably well with the experimental results at temperatures (T) of the order of the Debye temperature ( 0 ). For T » © ^ 9 our calculated anharmonic results are found to be in good agreement with the experimental results.The anomalous terms in the Debye-Waller factor are found not to be negligible for certain reflections even for T ^ ©^ . At temperature T yy Op 9 where the temperature is of the order of the melting temperature (Xm) » "the anomalous terms are found to be important almost for all the f i ve reflections.
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Four problems of physical interest have been solved in this thesis using the path integral formalism. Using the trigonometric expansion method of Burton and de Borde (1955), we found the kernel for two interacting one dimensional oscillators• The result is the same as one would obtain using a normal coordinate transformation, We next introduced the method of Papadopolous (1969), which is a systematic perturbation type method specifically geared to finding the partition function Z, or equivalently, the Helmholtz free energy F, of a system of interacting oscillators. We applied this method to the next three problems considered• First, by summing the perturbation expansion, we found F for a system of N interacting Einstein oscillators^ The result obtained is the same as the usual result obtained by Shukla and Muller (1972) • Next, we found F to 0(Xi)f where A is the usual Tan Hove ordering parameter* The results obtained are the same as those of Shukla and Oowley (1971), who have used a diagrammatic procedure, and did the necessary sums in Fourier space* We performed the work in temperature space• Finally, slightly modifying the method of Papadopolous, we found the finite temperature expressions for the Debyecaller factor in Bravais lattices, to 0(AZ) and u(/K/ j,where K is the scattering vector* The high temperature limit of the expressions obtained here, are in complete agreement with the classical results of Maradudin and Flinn (1963) .
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We have calculated the equation of state and the various thermodynamic properties of monatomic fcc crystals by minimizing the Helmholtz free energy derived in the high temperature limit for the quasiharmonic theory, QH, and the lowest-order (cubic and quartic), 'A2, anharmonic terms of the perturbation theory, PT. The total energy in each case is obtained by adding the static energy. The calculation of the thermal properties was carried out for a nearest-neighbour central-force model of the fcc lattice by means of the appropriate thermodynamic relations. We have calculated the lattice constant, the thermal expansion, the coefficient of volume expansion, the specific heat at constant volume and at constant pressure, the isothermal and adiabatic bulk moduli, and the Griineisen parameter, for the rare-gas solids Kr and Xe, and gold. Morse potential and modified Morse potential were each used to represent the atomic interaction for the three fcc materials. For most of the calculated thermodynamic properties from the QH theory, the results for Kr and Xe with the modified Morse potential show an improvement over the results for the Morse potential when compared with the experimental data. However, the results of the 'A 2 equation of state with the modified Morse potential are in good agreement with experiment only in the case of the specific heat at constant volume and at constant pressure. For Au we have calculated the lattice contribution from the QH and 'A 2 PT and the electronic contribution to the thermal properties. The electronic contribution was taken into account by using the free electron model. The results of the thermodynamic properties calculated with the modified Morse potential were similar to those obtained with the Morse potential. U sing the minimized equation of state we also calculated the Mossbauer recoilless fraction for Kr and Xe and the Debye-Waller factor (DWF) for Pb, AI, eu, Ag, and Au. The Mossbauer recoilless fraction was obtained for the above two potentials and Lennard-Jones potential. The L-J potential gives the best agreement with experiment for Kr. No experimental data exists for Xe. At low temperature the calculated DWF results for Pb, AI, and eu show a good agreement with experimental values, but at high temperature the experimental DWF results increase very rapidly. For Ag the computed values were below the expected results at all temperatures. The DWF results of the modified Morse potential for Pb, AI, eu and Ag were slightly better than those of the Morse potential. In the case of Au the calculated values were in poor agreement with experimental results. We have calculated the quasiharmonic phonon dispersion curves for Kr, Xe, eu, Ag, and Au. The calculated and experimental results of the frequencies agree quite well for all the materials except for Au where the longitudinal modes show serious discrepancies with the experimental results. In addition, the two lowest-order anharmonic contributions to the phonon frequency were derived using the Green's function method. The A 2 phonon dispersion curves have been calculated only for eu, and the results were similar to those of the QH dispersion curves. Finally, an expression for the Griineisen parameter "( has been derived from the anharmonic frequencies, and calculated for these materials. The "( results are comparable with those obtained from the thermodynamic definition.
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In this thesis we are studying possible invariants in hydrodynamics and hydromagnetics. The concept of flux preservation and line preservation of vector fields, especially vorticity vector fields, have been studied from the very beginning of the study of fluid mechanics by Helmholtz and others. In ideal magnetohydrodynamic flows the magnetic fields satisfy the same conservation laws as that of vorticity field in ideal hydrodynamic flows. Apart from these there are many other fields also in ideal hydrodynamic and magnetohydrodynamic flows which preserves flux across a surface or whose vector lines are preserved. A general study using this analogy had not been made for a long time. Moreover there are other physical quantities which are also invariant under the flow, such as Ertel invariant. Using the calculus of differential forms Tur and Yanovsky classified the possible invariants in hydrodynamics. This mathematical abstraction of physical quantities to topological objects is needed for an elegant and complete analysis of invariants.Many authors used a four dimensional space-time manifold for analysing fluid flows. We have also used such a space-time manifold in obtaining invariants in the usual three dimensional flows.In chapter one we have discussed the invariants related to vorticity field using vorticity field two form w2 in E4. Corresponding to the invariance of four form w2 ^ w2 we have got the invariance of the quantity E. w. We have shown that in an isentropic flow this quantity is an invariant over an arbitrary volume.In chapter three we have extended this method to any divergence-free frozen-in field. In a four dimensional space-time manifold we have defined a closed differential two form and its potential one from corresponding to such a frozen-in field. Using this potential one form w1 , it is possible to define the forms dw1 , w1 ^ dw1 and dw1 ^ dw1 . Corresponding to the invariance of the four form we have got an additional invariant in the usual hydrodynamic flows, which can not be obtained by considering three dimensional space.In chapter four we have classified the possible integral invariants associated with the physical quantities which can be expressed using one form or two form in a three dimensional flow. After deriving some general results which hold for an arbitrary dimensional manifold we have illustrated them in the context of flows in three dimensional Euclidean space JR3. If the Lie derivative of a differential p-form w is not vanishing,then the surface integral of w over all p-surfaces need not be constant of flow. Even then there exist some special p-surfaces over which the integral is a constant of motion, if the Lie derivative of w satisfies certain conditions. Such surfaces can be utilised for investigating the qualitative properties of a flow in the absence of invariance over all p-surfaces. We have also discussed the conditions for line preservation and surface preservation of vector fields. We see that the surface preservation need not imply the line preservation. We have given some examples which illustrate the above results. The study given in this thesis is a continuation of that started by Vedan et.el. As mentioned earlier, they have used a four dimensional space-time manifold to obtain invariants of flow from variational formulation and application of Noether's theorem. This was from the point of view of hydrodynamic stability studies using Arnold's method. The use of a four dimensional manifold has great significance in the study of knots and links. In the context of hydrodynamics, helicity is a measure of knottedness of vortex lines. We are interested in the use of differential forms in E4 in the study of vortex knots and links. The knowledge of surface invariants given in chapter 4 may also be utilised for the analysis of vortex and magnetic reconnections.
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New mathematical methods to analytically investigate linear acoustic radiation and scattering from cylindrical bodies and transducer arrays are presented. Three problems of interest involving cylinders in an infinite fluid are studied. In all the three problems, the Helmholtz equation is used to model propagation through the fluid and the beam patterns of arrays of transducers are studied. In the first problem, a method is presented to determine the omni-directional and directional far-field pressures radiated by a cylindrical transducer array in an infinite rigid cylindrical baffle. The solution to the Helmholtz equation and the displacement continuity condition at the interface between the array and the surrounding water are used to determine the pressure. The displacement of the surface of each transducer is in the direction of the normal to the array and is assumed to be uniform. Expressions are derived for the pressure radiated by a sector of the array vibrating in-phase, the entire array vibrating in-phase, and a sector of the array phase-shaded to simulate radiation from a rectangular piston. It is shown that the uniform displacement required for generating a source level of 220 dB ref. μPa @ 1m that is omni directional in the azimuthal plane is in the order of 1 micron for typical arrays. Numerical results are presented to show that there is only a small difference between the on-axis pressures radiated by phased cylindrical arrays and planar arrays. The problem is of interest because cylindrical arrays of projectors are often used to search for underwater objects. In the second problem, the errors, when using data-independent, classical, energy and split beam correlation methods, in finding the direction of arrival (DOA) of a plane acoustic wave, caused by the presence of a solid circular elastic cylindrical stiffener near a linear array of hydrophones, are investigated. Scattering from the effectively infinite cylinder is modeled using the exact axisymmetric equations of motion and the total pressures at the hydrophone locations are computed. The effect of the radius of the cylinder, a, the distance between the cylinder and the array, b, the number of hydrophones in the array, 2H, and the angle of incidence of the wave, α, on the error in finding the DOA are illustrated using numerical results. For an array that is about 30 times the wavelength and for small angles of incidence (α<10), the error in finding the DOA using the energy method is less than that using the split beam correlation method with beam steered to α; and in some cases, the error increases when b increases; and the errors in finding the DOA using the energy method and the split beam correlation method with beam steered to α vary approximately as a7 / 4 . The problem is of interest because elastic stiffeners – in nearly acoustically transparent sonar domes that are used to protect arrays of transducers – scatter waves that are incident on it and cause an error in the estimated direction of arrival of the wave. In the third problem, a high-frequency ray-acoustics method is presented and used to determine the interior pressure field when a plane wave is normally incident on a fluid cylinder embedded in another infinite fluid. The pressure field is determined by using geometrical and physical acoustics. The interior pressure is expressed as the sum of the pressures due to all rays that pass through a point. Numerical results are presented for ka = 20 to 100 where k is the acoustic wavenumber of the exterior fluid and a is the radius of the cylinder. The results are in good agreement with those obtained using field theory. The directional responses, to the plane wave, of sectors of a circular array of uniformly distributed hydrophones in the embedded cylinder are then computed. The sectors are used to simulate linear arrays with uniformly distributed normals by using delays. The directional responses are compared with the output from an array in an infinite homogenous fluid. These outputs are of interest as they are used to determine the direction of arrival of the plane wave. Numerical results are presented for a circular array with 32 hydrophones and 12 hydrophones in each sector. The problem is of interest because arrays of hydrophones are housed inside sonar domes and acoustic plane waves from distant sources are scattered by the dome filled with fresh water and cause deterioration in the performance of the array.
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Wednesday 23rd April 2014 Speaker(s): Willi Hasselbring Organiser: Leslie Carr Time: 23/04/2014 11:00-11:50 Location: B32/3077 File size: 669 Mb Abstract For good scientific practice, it is important that research results may be properly checked by reviewers and possibly repeated and extended by other researchers. This is of particular interest for "digital science" i.e. for in-silico experiments. In this talk, I'll discuss some issues of how software systems and services may contribute to good scientific practice. Particularly, I'll present our PubFlow approach to automate publication workflows for scientific data. The PubFlow workflow management system is based on established technology. We integrate institutional repository systems (based on EPrints) and world data centers (in marine science). PubFlow collects provenance data automatically via our monitoring framework Kieker. Provenance information describes the origins and the history of scientific data in its life cycle, and the process by which it arrived. Thus, provenance information is highly relevant to repeatability and trustworthiness of scientific results. In our evaluation in marine science, we collaborate with the GEOMAR Helmholtz Centre for Ocean Research Kiel.
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Este trabajo presenta las características psicométricas de las versiones de la Escala de Evaluación de la Comunicación en la Parentalidad (COMPA): versión parental, versión para adolescentes (12-16 años) y versión para niños (7-11 años). Esta es una prueba que tiene el objetivo de evaluar las percepciones de padres e hijos sobre la comunicación que mantienen. El estudio se realizó con una muestra de 803 padres y 619 hijos de la población portuguesa. Los resultados del análisis de componentes principales han revelado una estructura de cinco factores para la versión parental (expresión afectiva/ soporte emocional, α:.821; disponibilidad parental para la comunicación, α:.732; metacomunicación, α:.725; compartir/confianza de los padres en los hijos, α:.753; compartir/confianza de los hijos en los padres, α:.615) y para la versión de adolescentes (disponibilidad parental para la comunicación, α:.865; compartir/confianza de los hijos en los padres, α:.873; expresión afectiva/soporte emocional, α:.838; metacomunicación, α:.805; patrones negativos de comunicación, α:.650) y de dos factores para la versión de los niños (disponibilidad parental para la comunicación, α:.842; expresión afectiva/soporte emocional, α:.784). Esta estructura factorial exploratoria fue confirmada mediante un análisis de ecuaciones estructurales. Los niveles de consistencia interna se han revelado buenos para el propósito de investigación y evaluación clínica.
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The objective of this work is to study if children’s perception of parental relationship and parental empathy can predict prosocial behaviour during childhood. The sample was composed of 934 Argentine children, aged 9 to 12, of middle socio-economical level. The participants completed Argentine scale of Children Perception of Parental relationship (richaud de Minzi, 2007), an Argentine adaptation of scale of Prosocial Behaviour (Caprara and Pastorelli, 1993) and a questionnaire to measure children’s perception of parental empathy (richaud de Minzi, 2006). structural equations modelling (sEM) analyses were conducted to explore our hypotheses. Six theoretical models fit the data very well. The results showed that parental styles of acceptance and pathological control impact on children prosocial behavior. Children’s perception of parental empathy was positively associated with children prosocial behavior. Finally, parental acceptance and pathological control were associated with children’s perception of parental empathy, but negligent parental behaviour did not.
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A Satisfação do cliente e a sua avaliação fazem parte integrante das preocupações dos gestores, sendo cada vez mais comum realizarem-se inquéritos juntos dos consumidores de modo a aferir a sua Satisfação. O Índice Nacional de Satisfação do Cliente (ECSIPortugal) é um sistema de medida da qualidade dos produtos e serviços disponíveis no mercado nacional, por via da Satisfação do cliente. A Satisfação dos clientes pode ser medida utilizando duas abordagens distintas, a tradicional e a estrutural. A metodologia utilizada no ECSI-Portugal segue a abordagem estrutural, baseada em modelos de equações simultâneas e variáveis latentes (SEM). A metodologia adotada neste projeto integra as seguintes etapas: – Realização de um inquérito junto dos clientes de cada entidade estudada; – Especificação e estimação de um modelo de Satisfação do cliente adequado a essas entidades; – Agregação dos resultados obtidos ao nível do setor e produção de informação sobre o conjunto da economia portuguesa. Pretende-se aplicar estes índices ao setor das águas de modo a que as entidades gestoras obtenham, entre outros benefícios, informação de gestão para atuarem em prol dos seus clientes, permitindo simultaneamente a criação de uma plataforma de validação dos resultados obtidos através de indicadores de desempenho.
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Nas últimas décadas tem-se verificado um aumento bastante acentuado da utilização de modelos in vitro e in silico para a obtenção de dados que permitem aumentar a eficácia de programas de desenvolvimento de novos fármacos. Actualmente são utilizados dois tipos de modelos para descrever a farmacocinética de compostos químicos em função do tempo: modelos empíricos farmacocinéticos e modelos farmacocinéticos baseados na fisiologia (PBPK). Modelos PBPK assumem que o corpo humano interage com os compostos químicos como um sistema integrado, pelo que um evento que ocorre numa zona do corpo poderá influenciar um evento a ocorrer noutra zona, aparentemente distinta. Estes modelos assumem que o organismo humano é constituído por “compartimentos” que representam fisiologicamente os órgãos, tecidos e outros espaços fisiológicos. Para a correcta utilização destes modelos é necessário determinar a estrutura do modelo e as suas características, escrever equações que o caracterizem, bem como definir e estimar os parâmetros deste. Estes modelos têm vindo a ser usados no campo toxicológico e farmacêutico cada vez com maior frequência. No futuro poder-se-ão transformar numa ferramenta universal.