Electric field alignment in thin films of cylinder-forming diblock copolymer

We investigate thin films of cylinder-forming diblock copolymer confined between electrically charged parallel plates, using self-consistent-field theory ( SCFT) combined with an exact treatment for linear dielectric materials. Our study focuses on the competition between the surface interactions, which tend to orient cylinder domains parallel to the plates, and the electric field, which favors a perpendicular orientation. The effect of the electric field on the relative stability of the competing morphologies is demonstrated with equilibrium phase diagrams, calculated with the aid of a weak-field approximation. As hoped, modest electric fields are shown to have a significant stabilizing effect on perpendicular cylinders, particularly for thicker films. Our improved SCFT-based treatment removes most of the approximations implemented by previous approaches, thereby managing to resolve outstanding qualitative inconsistencies among different approximation schemes.

A numerical method for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field

A finite difference technique, based on a projection method, is developed for solving the dynamic three-dimensional Ericksen-Leslie equations for nematic liquid crystals subject to a strong magnetic field. The governing equations in this situation are derived using primitive variables and are solved using the ideas behind the GENSMAC methodology (Tome and McKee [32]; Tome et al. [34]). The resulting numerical technique is then validated by comparing the numerical solution against an analytic solution for steady three-dimensional flow between two-parallel plates subject to a strong magnetic field. The validated code is then employed to solve channel flow for which there is no analytic solution. (C) 2009 Elsevier B.V. All rights reserved.

Casimir effect for the scalar field under Robin boundary conditions: a functional integral approach

In this work we show how to define the action of a scalar field such that the Robin boundary condition is implemented dynamically, i.e. as a consequence of the stationary action principle. We discuss the quantization of that system via functional integration. Using this formalism, we derive an expression for the Casimir energy of a massless scalar field under Robin boundary conditions on a pair of parallel plates, characterized by constants c(1) and c(2). Some special cases are discussed; in particular, we show that for some values of cl and c(2) the Casimir energy as a function of the distance between the plates presents a minimum. We also discuss the renormalization at one-loop order of the two-point Green function in the philambda(4) theory subject to the Robin boundary condition on a plate.

When the Casimir energy is not a sum of zero-point energies

We compute the leading radiative correction to the Casimir force between two parallel plates in the lambdaPhi(4) theory. Dirichlet and periodic boundary conditions are considered. A heuristic approach, in which the Casimir energy is computed as the sum of one-loop corrected zero-point energies, is shown to yield incorrect results, but we show how to amend it. The technique is then used in the case of periodic boundary conditions to construct a perturbative expansion which is free of infrared singularities in the massless limit. In this case we also compute the next-to-leading order radiative correction, which turns out to be proportional to lambda(3/2).

Comportamento reológico de géis de amido de mandioquinha salsa (Arracacia xanthorrhiza B.)

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

Fluxos e densidades de energia negativa em teoria quântica de campos

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

Espectroscopia de impedância em soluções iônicas e mistura de etanol/água

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Caqui em pó: influência de aditivos e do método de secagem

Pós-graduação em Engenharia e Ciência de Alimentos - IBILCE

Analytical solution for transient one-dimensional couette flow considering constant and time-dependent pressure gradients

This paperaims to determine the velocity profile, in transient state, for a parallel incompressible flow known as Couette flow. The Navier-Stokes equations were applied upon this flow. Analytical solutions, based in Fourier series and integral transforms, were obtained for the one-dimensional transient Couette flow, taking into account constant and time-dependent pressure gradients acting on the fluid since the same instant when the plate starts it´s movement. Taking advantage of the orthogonality and superposition properties solutions were foundfor both considered cases. Considering a time-dependent pressure gradient, it was found a general solution for the Couette flow for a particular time function. It was found that the solution for a time-dependent pressure gradient includes the solutions for a zero pressure gradient and for a constant pressure gradient.

Charged colloidal suspensions in confined geometries

Im Zentrum dieser Arbeit steht das Verhalten von geladenen kolloidalen Suspensionen in eingeschränkten Geometrien. Es wurden verschiedene keilförmige Zellen verwendet, die eine kontinuierliche Variation der Abstände zwischen den Platten ermöglichen. In Zellen mit fluid geordneten Suspensionen bei niedrigen Salzkonzentrationen akkumulieren die kolloidalen Partikel in der Keilspitze und bilden kristallin geordnete Strukturen. Systematische Experimente zu diesem Akkumulationseffekt führen zu dem Schluss, dass es um eine elektrostatischer Fallensituation handeln muss, was durch ein einfaches theoretisches, von Löwen et al vorgeschlagenes Modell bestätigt wird. In Abhängig von der Zellhöhe lässt sich in den auftretenden kristallinen Strukturen eine charakteristische Abfolge erkennen. Diese Struktursequenz wurde schon zuvor in eingeschränkten Keilgeometrien beobachtet, jedoch ermöglichen die in unseren Experimenten realisierbaren kleinen Keilwinkel die Beobachtung neuer Strukturen. Einige dieser neuen Strukturen zeigen eine exotische Anordnung die keine atomare Entsprechung besitzen. Basierend auf experimentellen Beobachtungen schlagen wir Modelle für unterschiedliche Übergangsmechanismen zwischen den verschiedenen Strukturen vor, unter der physikalisch motivierten Vorraussetzung, dass sich die Partikel wie einem hohen Druck unterworfene harte Kugeln verhalten. Des Weiteren wurde eine Zelle mit variabler Höhe konstruiert, die zur Untersuchung des vollständigen Phasenverhaltens geladener, zwischen parallelen Platten eingeschlossener Kugeln dient. Die vorläufigen Ergebnisse werden mit theoretischen Prognosen verglichen.

Control design and genetic algorithm optimization for electrostatic MEMS

This dissertation discusses structural-electrostatic modeling techniques, genetic algorithm based optimization and control design for electrostatic micro devices. First, an alternative modeling technique, the interpolated force model, for electrostatic micro devices is discussed. The method provides improved computational efficiency relative to a benchmark model, as well as improved accuracy for irregular electrode configurations relative to a common approximate model, the parallel plate approximation model. For the configuration most similar to two parallel plates, expected to be the best case scenario for the approximate model, both the parallel plate approximation model and the interpolated force model maintained less than 2.2% error in static deflection compared to the benchmark model. For the configuration expected to be the worst case scenario for the parallel plate approximation model, the interpolated force model maintained less than 2.9% error in static deflection while the parallel plate approximation model is incapable of handling the configuration. Second, genetic algorithm based optimization is shown to improve the design of an electrostatic micro sensor. The design space is enlarged from published design spaces to include the configuration of both sensing and actuation electrodes, material distribution, actuation voltage and other geometric dimensions. For a small population, the design was improved by approximately a factor of 6 over 15 generations to a fitness value of 3.2 fF. For a larger population seeded with the best configurations of the previous optimization, the design was improved by another 7% in 5 generations to a fitness value of 3.0 fF. Third, a learning control algorithm is presented that reduces the closing time of a radiofrequency microelectromechanical systems switch by minimizing bounce while maintaining robustness to fabrication variability. Electrostatic actuation of the plate causes pull-in with high impact velocities, which are difficult to control due to parameter variations from part to part. A single degree-of-freedom model was utilized to design a learning control algorithm that shapes the actuation voltage based on the open/closed state of the switch. Experiments on 3 test switches show that after 5-10 iterations, the learning algorithm lands the switch with an impact velocity not exceeding 0.2 m/s, eliminating bounce.

Influence of quantized massive matter fields on the Casimir effect

Charged massive matter fields of spin-0 and spin- 1/2 are quantized in the presence of an external uniform magnetic field in a spatial region bounded by two parallel plates. The most general set of boundary conditions at the plates, that is required by mathematical consistency and the self-adjointness of the Hamiltonian operator, is employed. The vacuum fluctuations of the matter field in the case of the magnetic field orthogonal to the plates are analyzed, and it is shown that the pressure from the vacuum onto the plates is positive and independent of the boundary condition, as well as of the distance between the plates. Possibilities of the detection of this new-type Casimir effect are discussed. Read More: http://www.worldscientific.com/doi/10.1142/S0217732315500996

Instrumentação para a caracterização dielétrica de filmes biodegradáveis

A caracterização dielétrica de um material pode ser usada como uma técnica não destrutiva para avaliar e monitorar sua qualidade, bem como no entendimento da relação estrutura-propriedade de um material, através de suas propriedades dielétricas em função da frequência, temperatura, composição química do material, dentre outros. Na literatura há escassez de trabalhos e dados de caracterização dielétrica de filmes a base de biopolímeros. Diante desse contexto, o objetivo deste trabalho foi o desenvolvimento e a construção de uma instrumentação alternativa a equipamentos disponíveis no mercado, como analisadores de rede e de impedância, que pudesse ser utilizada para a caracterização dielétrica de filmes biodegradáveis a base de gelatina. Foi utilizado o método de placas paralelas na determinação da parte real da permissividade conhecida como permissividade relativa ou constante dielétrica (ε\'). O circuito utilizado para a instrumentação foi um oscilador astável com funcionamento baseado no amplificador operacional (741) chaveado pela carga de um capacitor de placas paralelas cujo dielétrico foi uma amostra de filme biodegradável. A partir dos valores da frequência de oscilação e geometria do capacitor, foi possível calcular a capacitância de cada amostra e, consequentemente obter os valores da permissividade relativa do filme, usando relações básicas bem estabelecidas. Os filmes de gelatina foram produzidos pela técnica de casting sendo utilizados como plastificantes o glicerol (G), o sorbitol (S) e suas misturas, na proporção (G:S) de 30:70, 50:50 e 70:30. Os filmes foram caracterizados quanto à umidade e cristalinidade. A permissividade relativa (ε\') dos filmes, determinada a temperatura ambiente, foi avaliada em função da frequência (5 a 50 kHz), tempo de armazenamento, do teor de umidade e tipo de plastificante. A instrumentação projetada e construída foi capaz de medir com precisão a permissividade relativa das amostras, sendo que essa propriedade diminuiu com o aumento da frequência para todos os filmes. Mantendo-se a frequência constante, não houve variação de ε\' para os filmes de gelatina, independente do plastificante, ao longo de um mês de armazenamento a 24 ± 3 °C. O efeito da umidade foi observado em frequências menores que 25 kHz, sendo que quanto maior o teor de umidade maior a permissividade relativa. O efeito do tipo de plastificante na permissividade relativa dos filmes foi observado a baixas frequências (5 kHz) e filmes plastificados com sorbitol apresentaram maiores valores de ε\'. Os filmes plastificados com maior teor de umidade apresentaram menor cristalinidade, portanto maior mobilidade molecular e consequentemente maior a permissividade relativa.

Migração de solutos em basalto fraturado: quantificação experimental em laboratório e validação matemática

A avaliação do risco a contaminação e a escolha de técnicas de remediação de poluentes em aquíferos fraturados depende da quantificação dos fenômenos envolvidos no transporte de solutos. A geometria da fratura, usualmente caracterizada pela abertura, é o principal parâmetro que indiretamente controla o transporte nos aquíferos fraturados. A simplificação mais comum desse problema é assumir que as fraturas são um par de placas planas e paralelas, isto é, com uma abertura constante. No entanto, por causa do limitado número de trabalhos experimentais, não está esclarecida a adequabilidade do uso de uma abertura constante para simular o transporte conservativo em fraturas do Aquífero Serra Geral (ASG), Brasil. O objetivo deste trabalho é avaliar a influência da abertura de uma fratura natural do Aquífero Serra Geral sob o transporte conservativo de solutos. Uma amostra natural de basalto fraturado foi usada em um experimento hidráulico e de transporte de um traçador conservativo (escala de laboratório). O campo de abertura foi medido usando a técnica avançada, de alta resolução e tridimensional, chamada microtomografia computadorizada de raios-X. A concentração de traçador medida foi utilizada para validar uma solução analítica unidimensional da Equação de Advecção-dispersão (ADE). O desemprenho do ajuste da ADE às curvas de passagem experimentais foi avaliado para quatro diferentes tipos de aberturas constantes. Os resultados mostraram que o escoamento de água e o transporte de contaminantes pode ocorrer através de fraturas micrométricas, ocasionando, eventualmente, a contaminação do ASG. A abertura de balanço de massa é a única que pode ser chamada propriamente de \"abertura equivalente\". O uso de aberturas constantes na ADE não permitiu representar completamente o formato das curvas de passagem porque o campo de velocidade não é uniforme e intrinsicamente bidimensional. Portanto, na simulação do transporte deve-se incorporar a heterogeneidade da abertura da fratura.

Poly(methyl methacrylate) model study of optical surface quality after excimer laser photorefractive keratectomy

Purpose: To evaluate lenses produced by excimer laser ablation of poly(methyl methacrylate) (PMMA) plates. Setting: University research laboratory. Methods: Two Nidek EC-5000 scanning-slit excimer laser systems were used to ablate plane-parallel plates of PMMA. The ablated lenses were examined by focimetry, interferometry, and mechanical surface profiling. Results: The spherical optical powers of the lenses matched the expected values, but the cylindrical powers were generally lower than intended. Interferometry revealed marked irregularity in the surface of negative corrections, which often had a positive “island” at their center. Positive corrections were generally smoother. These findings were supported by the results of mechanical profiling. Contrast sensitivity measurements carried out when observing through ablated lenses whose power had been neutralized with a suitable spectacle lens of opposite sign confirmed that the surface irregularities of the ablated lenses markedly reduced contrast sensitivity over a range of spatial frequencies. Conclusion: Improvements in beam delivery systems seem desirable.