A novel method of calculating viscosity from molecular dynamics simulations is developed, benchmarked, and tested. The technique is a transient method which has the potential to reduce CPU requirements for many conditions. An initial sinusoidal velocity profile is overlaid upon the peculiar velocities of the individual molecules in an equilibrated simulation. The transient relaxation of this initial velocity profile is then compared to the corresponding analytical solution of the momentum equation by adjusting the viscosity-related parameters in the constitutive equation that relate the shear rate to the stress tensor. The newly developed Transient Molecular Dynamics (TMD) method was tested for a Lennard-Jones (LJ) fluid over a wide range of densities and temperatures. The simulated values were compared to an analytical solution of the boundary value problem for a Newtonian fluid. The resultant viscosities agreed well with those published for Equilibrium Molecular Dynamics (EMD) simulations up to a dimensionless density of 0.7. Application of a linear viscoelastic Maxwell constitutive equation was required to achieve good agreement at dimensionless densities greater than 0.7. When the Newtonian model is used for densities in the range of 0.1 to 0.3 and the Maxwell model is used for densities higher than 0.3, the TMD method was able to predict viscosities with an uncertainty of 10% or better. Application of the TMD method to multi-site molecules required the Jeffreys constitutive equation to adequately fit the simulation responses. TMD simulations were performed on model fluids representing n-butane, isobutane, n-hexane, water, methanol, and hexanol. Molecules with strong hydrogen bonding and Coulombic interactions agreed well with NEMD simulated values and experimental values. Simulated viscosities for nonpolar and larger molecules agreed with NEMD simulations at low to moderate densities, but deviated from these values at higher densities. These deviations are explainable in terms of potential model inaccuracies and the shear-rate dependence of both NEMD and TMD viscosity values. Results show that accurate viscosity predictions can be made for multi-site molecules as long as the shear-rate dependence of the viscosity is not too large or is adequately addressed.

The aim of this project is to design a cost-effective planar Maxwell fish-eye lens in PCB technology operating at the center frequency 5 GHz with a bandwidth of 20 %. An approach to design a cost-effective lens is to use a metasurface, which is commonly realized as a periodic structure of unit cells. In this project, a study was made by comparing different unit cells and considering the effect of applying glide symmetry to the unit cells. Comparing different unit cells withand without glide symmetry demonstrates that glide symmetry is necessary to achieve a 20 % bandwidth. Introducing glide symmetry showed a reduction in dispersive behavior, an increaseof isotropy and effective refractive index. Simulations of the full lens show a functioning lens with a power transfer of 67 % at 5.46 GHz. In conclusion, glide symmetry will improve the performance of the lens and is necessary to fulfill the requirement of a 20 % bandwidth.

The Maxwell–Boltzmann distribution is a hallmark of statistical physics in thermodynamic equilibrium linking the probability density of a particle’s kinetic energies to the temperature of the system that also determines its configurational fluctuations. This unique relation is lost for Hot Brownian Motion, e.g., when the Brownian particle is constantly heated to create an inhomogeneous temperature in the surrounding liquid. While the fluctuations of the particle in this case can be described with an effective temperature, it is not unique for all degrees of freedom and suggested to be different at different timescales. In this work, we report on our progress to measure the effective temperature of Hot Brownian Motion in the ballistic regime. We have constructed an optical setup to measure the displacement of a heated Brownian particle with a temporal resolution of 10 ns giving a corresponding spatial resolution of about 23 pm for a 0.92 μm PMMA particle in water. Using a goldcoated polystyrene (AuPS) particle of 2.15 μm diameter we determine the mean squared displacement of the particle over more than six orders of magnitude in time. Our data recovers the trends for the effective temperature at long timescales, yet shows also clear effects in the region of hydrodynamic long time tails.

L'objectif de cette thèse est d'étudier l'impact des courbures sur les guides d'onde qui interviennent dans la confection des dispositifs optiques. Ces guides doivent être conçus pour minimiser la perte du signal causée par la courbure. Nous nous proposons, dans ce travail, de résoudre les équations de Maxwell vectorielles qui modélisent la propagation du champ électromagnétique, pour différents types de guide d'onde. Ainsi, nous développons une formulation en coordonnées curvilignes générales de ces équations basée sur l'approche modale. Pour discrétiser notre problème, nous utilisons une méthode numérique basée sur les éléments finis, ce qui requiert la troncature du domaine de calcul et la considération d'une frontière artificielle. Cette frontière fictive induit des réflexions numériques importantes dans le cas des guides courbés. Pour remédier à ce problème, des conditions de frontières absorbantes sont utilisées. Notre choix porte sur les PML (couches parfaitement adaptées) qui ont montré leur efficacité dans plusieurs cas de problèmes posés sur des domaines ouverts. Pour satisfaire l'exigence de précision requise pour la détermination des constantes de propagation de ces guides, des éléments finis mixtes d'ordre élevé ont été développés. Dans le cas des géométries rectangulaires, nous proposons une nouvelle famille d'éléments quadrangulaires d'ordre 1 et 2 pour discrétiser les équations écrites en coordonnées cylindriques. Pour les géométries circulaires, où une transformation en coordonnées toroïdales est considérée, nous utilisons une nouvelle famille d’éléments axisymétriques d'ordre 1 et 2. Des analyses comparatives montrent la robustesse des formulations et l'efficacité des éléments finis d'ordre élevé développés.

The main purpose of the thesis Automatic measurement of induction machine using LabVIEW was to develope an automated measuring system, which is used to perform tests of induction motors. The algorithm of the system is programmed in LabVIEW. In the practical part of this thesis, a measurement of the motor Atas Elektromotory Náchod a.s. T22VT512 is carried out, in order to verificate functions of the algorithm, and to perform tests of the motor to analyse losses. Another part of the work is dedicated to the electromagnetic calculation of the motor T22VT512. For this purpose, two softwares with different principles of calculation have been used. Firstly, the calculation is solved by an analytical based software called RMxprt. Secondly, the software Maxwell 2D is used to make the calculation of electric and magnetic fields by the finite element method.

Thesis (MScEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2007. / The finite element tearing and interconnect(FETI) domain decomposition(DD) method is investigated in terms of the 2D transverse electric(TEz) finite element method(FEM). The FETI is for the first time rigorously derived using the weighted residual framework from which important insights are gained. The FETI is used in a novel way to implement a total-/scattered field decomposition and is shown to give excellent results. The FETI is newly formulated for the time domain(FETI-TD), its feasibility is tested and it is further formulated and tested for implementation on a distributed computer architecture.

This thesis examines accounts of electricity in journalism, short stories, novels, poetry and instructional writings, composed between 1830 and 1880 by scientific investigators, popular practitioners and fiction authors. The writings are approached as diverse and often incongruous impressions of electricity, in which the use of figurative and narrative techniques brings into question distinctions between science and literature. It is proposed that the unusual combination of electricity’s historical characterisation as an elixir vitae, intense investigation by contemporary scientists, and close alliance with new technologies offered unique opportunities for imaginative speculation. The thesis contends that engaging with these conflicting characteristics created a synthesis of scientific, social and literary responses that defy epistemological and generic categorisation. Fictionality is approached in chapter two as a central feature of scientific conceptualisation, experiment and discovery, particularly in the work of Michael Faraday and James Clerk Maxwell. In chapters three and four, the landscape of popular non-fiction books and periodicals is mapped, to show the ways in which the period’s publication contexts and forums, reading patterns, and use of literary practices contributed to wider engagement with ideas about electricity. Chapters five and six focus on fiction writings, identifying parallels and divergences between actual electrical science and its fictional portrayal. Short stories are shown to have emphasised associations between electricity, neurosis, deformity and the occult, complicating contemporary scientific optimism and presenting electricity as an alluring yet dangerous phenomenon, which disordered the natural world and man’s relationship with it. These characteristics are identified further in the metaphorical references of several canonical novelists, in the exploitation of electricity, elixirs and power depicted by William Harrison Ainsworth and Edward Bulwer-Lytton, and through a case study of the text and reception of a popular novel about electricity by Benjamin Lumley. The thesis contends that electricity’s anomalous and protean nature produced distinctively hybrid responses that enhance our understanding of contemporary popular writing, its contexts and how it was read.

Le problème de diffraction électromagnétique gouverné par les équations de Maxwell admet une formulation équivalente par une équation intégrale volumique fortement singulière. Cette thèse a pour but d'examiner l'opérateur intégral qui décrit cette équation. La première partie de ce manuscrit porte sur l'étude de son spectre essentiel. Cette analyse est intéressante en vue d'obtenir les conditions nécessaires et suffisantes pour avoir l'unicité de solutions du problème surtout quand il s'agirait de la diffraction des ondes par des matériaux négatifs où les techniques classiques perdent leurs utilité. Après avoir justifié le bon choix du cadre fonctionnel, nous étudions tout d'abord le cas où les paramètres caractéristiques du milieu à savoir la permittivité électrique et la perméabilité magnétique sont constants par morceaux avec discontinuité au travers du bord de la cible. Dans ce cadre, nous donnons une réponse complète à la question pour les domaines réguliers et Lipschitziens. Ensuite, et à l'aide d'une technique de localisation, nous donnons une extension de ces résultats dans le cas des paramètres réguliers par morceaux pour deux opérateurs intégraux, l'un qui correspond à la version diélectrique du problème et l'autre pour sa version magnétique. Nous terminons cette thèse par l'étude de la dérivée de forme des opérateurs diélectrique et magnétique et nous en déduisons une nouvelle caractérisation de la dérivée de forme des solutions des deux problèmes de diffraction. / The electromagnetic diffraction problem which is governed by the Maxwell equations admits an equivalent formulation in terms of a strongly singular volume integral equation. This thesis aims to examine the integral operator that describes this equation. The first part of this document focuses on the study of its essential spectrum. This analysis is interesting to get the necessary and sufficient conditions of solution uniqueness of the problem especially when we consider the diffraction of waves by negative materials where classic tools lose their usefulness. After justifying the adequate choice of the functional framework, we first study the case where the characteristics parameters of the medium like the electric permittivity and magnetic permeability are piecewise constant with discontinuity across the boundary of the target. In this context, we give a full answer to the question for smooth and Lipschitz domains. Then, by using a localization technique, we give an extension of those results in the case of piecewise regular parameters for two integrals operators, one which corresponds to the dielectric version of the problem and the other for its magnetic version. We end this thesis by the study of the shape derivative of the dielectric and magnetic operators and we derive a new characterization of the shape derivative of the two diffraction problems solution.

Submitted by Filipe dos Santos (fsantos@pucsp.br) on 2018-07-25T11:57:07Z No. of bitstreams: 1 Andrezza Cacione.pdf: 1380246 bytes, checksum: 70140b96b4c0cbf9c9bd395f8542f91e (MD5) / Made available in DSpace on 2018-07-25T11:57:07Z (GMT). No. of bitstreams: 1 Andrezza Cacione.pdf: 1380246 bytes, checksum: 70140b96b4c0cbf9c9bd395f8542f91e (MD5) Previous issue date: 2018-04-14 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The work in question discusses the usage of probabilistic arguments on the Kinetic Theory of gases by James Clerk Maxwell, more specifically when describing the speed of the gas particles. The reflection on the gas behavior and its constituents develops during the 19th century. In this context, it can be verified the use of probabilist arguments in formulation of this knowledge. This work aims to identify the factors that influenced the use of such probabilistic arguments in the development of the Kinetic Theory of gas by Maxwell, and in which sense his approach differentiates from the existing ones, since the probability was already considered in previous formulations of the same theory. In order to identify the subjects studied by Maxwell and the varieties of reflections to which he was exposed, we searched for information on the calendar of the Cambridge University in the period he frequented the institution, we also researched papers published which he might have had contact with and letters exchanged with family and friends / O trabalho em questão versa sobre a utilização de argumentos probabilísticos na Teoria Cinética dos Gases por James Clerk Maxwell, mais especificamente ao descrever a velocidade das partículas que compõem um gás. A reflexão sobre o comportamento dos gases e de seus constituintes ocorreu ativamente ao longo do século XIX. Nesse contexto, percebe-se a utilização de argumentos probabilísticos na construção desse conhecimento. Este trabalho tem como objetivo identificar fatores que influenciaram o uso de argumentos probabilísticos na construção da Teoria Cinética dos Gases por Maxwell e em que sua abordagem a diferencia das teorias já existentes, uma vez que a probabilidade já era considerada em formulações anteriores para a mesma teoria. A fim de identificar os assuntos estudados por Maxwell e a quais tipos de reflexão ele foi exposto, buscamos informações no calendário da Universidade de Cambridge nos anos em que ele a frequentou, em artigos publicados na época com que de alguma forma ele tenha tido contato e também em cartas trocadas com familiares e amigos

Nesta tese, estudamos feixes intensos não-contínuos de partículas carregadas. Na primeira parte, analisamos um feixe com simetria esférica e a sua relaxação para um estado quase-estacionário. Por ser um sistema com interação de longo alcance, a evolução do feixe e dominado pela dinâmica de Vlasov-Maxwell. Mostramos que o mecanismo de relaxação e a ressonância entre o movimento coletivo e o individual de algumas partículas. Fazemos uma analogia entre a dinâmica de Vlasov e um gás de férmions para modelar o estado quase estacionário. Os parâmetros do modelo são calculados usando princípios básicos, como os de conservação de energia e de partículas no transporte. Os resultados quando comparados com simulação mostram uma boa concordância. Na segunda parte, verificamos a estabilidade do modo de oscilação simétrico para um feixe esférico. Argumentamos que, quando esse modo for estável, o modelo para o estado quase-estacionário pode descrever feixes levemente anisotrópicos, o que e uma situação mais realista em experimentos. Constatamos que, num regime de interesse prático, esse modo e sempre estável. Por fim, estudamos um caso em que as forças focalizadoras externas são anisotrópicas, e o feixe tem simetria elipsoidal. Mostramos que, para certos valores dos parâmetros, há um forte acoplamento entre a dinâmica não-linear dos envelopes, o que causa uma troca de energia entre os graus de liberdade. Os resultados quando comparados com dinâmica molecular mostraram uma boa concordância. / In this thesis, we study intense bunched charged particle beams. In the rst part, we analyze a beam with spherical symmetry and its relaxation to a stationary state. The beam evolution follows the Vlasov-Maxwell dynamics since it is a system of long range interaction. We show that the main mechanism for the beam relaxation is a resonance between the collective beam motion and individual particle motion. We make an analogy between Vlasov dynamics and a Fermi gas to model the beam quasistationary state. The parameters of the model are calculated using basic principles, such as energy and particle conservation in the beam transport. The results compared with simulation showed a good agreement. In the second part, we verify the symmetric oscillation mode stability for a spherical beam. We argue that when this mode is stable, our model for the quasistationary state can also describe slightly anisotropic beams, a situation more realistic in experiments. We nd out that in situations of practical interest the mode is always stable. Finally, we study a situation in which the external focusing forces are anisotropic, and the beam has ellipsoidal symmetry. We show that, for certain values of the parameters, there is a strong coupling between the nonlinear envelopes dynamics, which causes exchange of energy between the degrees of freedom. The results compared with molecular dynamics showed a good agreement.