Hair braiding : working the boundaries of methodology in globalisation research

This paper engages the constitutive as well as the representative role of metaphor in research. Metaphors are understood to provide possibilities for representations and conceptualisations. The use of metaphorical redescription permits us to 'use familiar words in unfamiliar ways' (Rorty, 1989, p. 18) and provides new language that deters the use of repeated ways of knowing. It invites us to see things differently and to act differently. Lakoff and Johnson (1980) argue that metaphor does more than represent: 'New metaphors have the power to construct a new reality' (p. 145). I have drawn on both these understandings of metaphor. In qualitative research, metaphorical analysis has a well-established history. Researchers analyse metaphors used by research participants and apply metaphors to participant actions and understandings (Koro-Ljungberg, 2001; Gregory & Noblit, 1998). Researchers also use metaphors to reflect or represent their methodological decision-making (Richardson, 2003; Gadamer, 1989). In this article, I have nudged the conceptual boundaries of methodology. I have argued the constructive nature of metaphor in methodological positioning and decision making. I use the writing of a doctoral thesis to argue this role of metaphor. There, the metaphor of hair braiding constructed and communicated my methodological decision-making and my researcher stance as a braider.

Braiding and knotting for amateurs,

Mode of access: Internet.

Topological Quantum Computation - An Analysis of an Anyon Model Based on Quantum Double Symmetries

There exists various suggestions for building a functional and a fault-tolerant large-scale quantum computer. Topological quantum computation is a more exotic suggestion, which makes use of the properties of quasiparticles manifest only in certain two-dimensional systems. These so called anyons exhibit topological degrees of freedom, which, in principle, can be used to execute quantum computation with intrinsic fault-tolerance. This feature is the main incentive to study topological quantum computation. The objective of this thesis is to provide an accessible introduction to the theory. In this thesis one has considered the theory of anyons arising in two-dimensional quantum mechanical systems, which are described by gauge theories based on so called quantum double symmetries. The quasiparticles are shown to exhibit interactions and carry quantum numbers, which are both of topological nature. Particularly, it is found that the addition of the quantum numbers is not unique, but that the fusion of the quasiparticles is described by a non-trivial fusion algebra. It is discussed how this property can be used to encode quantum information in a manner which is intrinsically protected from decoherence and how one could, in principle, perform quantum computation by braiding the quasiparticles. As an example of the presented general discussion, the particle spectrum and the fusion algebra of an anyon model based on the gauge group S_3 are explicitly derived. The fusion algebra is found to branch into multiple proper subalgebras and the simplest one of them is chosen as a model for an illustrative demonstration. The different steps of a topological quantum computation are outlined and the computational power of the model is assessed. It turns out that the chosen model is not universal for quantum computation. However, because the objective was a demonstration of the theory with explicit calculations, none of the other more complicated fusion subalgebras were considered. Studying their applicability for quantum computation could be a topic of further research.

Topics in quantum gravity

We study some aspects of conformal field theory, wormhole physics and two-dimensional random surfaces. Inspite of being rather different, these topics serve as examples of the issues that are involved, both at high and low energy scales, in formulating a quantum theory of gravity. In conformal field theory we show that fusion and braiding properties can be used to determine the operator product coefficients of the non-diagonal Wess-Zumino-Witten models. In wormhole physics we show how Coleman's proposed probability distribution would result in wormholes determining the value of ^θQCD. We attempt such a calculation and find the most probable value of ^θQCD to be π. This hints at a potential conflict with nature. In random surfaces we explore the behaviour of conformal field theories coupled to gravity and calculate some partition functions and correlation functions. Our results throw some light on the transition that is believed to occur when the central charge of the matter theory gets larger than one.

Signatures of Topological Superconductors

Topological superconductors are particularly interesting in light of the active ongoing experimental efforts for realizing exotic physics such as Majorana zero modes. These systems have excitations with non-Abelian exchange statistics, which provides a path towards topological quantum information processing. Intrinsic topological superconductors are quite rare in nature. However, one can engineer topological superconductivity by inducing effective p-wave pairing in materials which can be grown in the laboratory. One possibility is to induce the proximity effect in topological insulators; another is to use hybrid structures of superconductors and semiconductors.

The proposal of interfacing s-wave superconductors with quantum spin Hall systems provides a promising route to engineered topological superconductivity. Given the exciting recent progress on the fabrication side, identifying experiments that definitively expose the topological superconducting phase (and clearly distinguish it from a trivial state) raises an increasingly important problem. With this goal in mind, we proposed a detection scheme to get an unambiguous signature of topological superconductivity, even in the presence of ordinarily detrimental effects such as thermal fluctuations and quasiparticle poisoning. We considered a Josephson junction built on top of a quantum spin Hall material. This system allows the proximity effect to turn edge states in effective topological superconductors. Such a setup is promising because experimentalists have demonstrated that supercurrents indeed flow through quantum spin Hall edges. To demonstrate the topological nature of the superconducting quantum spin Hall edges, theorists have proposed examining the periodicity of Josephson currents respect to the phase across a Josephson junction. The periodicity of tunneling currents of ground states in a topological superconductor Josephson junction is double that of a conventional Josephson junction. In practice, this modification of periodicity is extremely difficult to observe because noise sources, such as quasiparticle poisoning, wash out the signature of topological superconductors. For this reason, We propose a new, relatively simple DC measurement that can compellingly reveal topological superconductivity in such quantum spin Hall/superconductor heterostructures. More specifically, We develop a general framework for capturing the junction's current-voltage characteristics as a function of applied magnetic flux. Our analysis reveals sharp signatures of topological superconductivity in the field-dependent critical current. These signatures include the presence of multiple critical currents and a non-vanishing critical current for all magnetic field strengths as a reliable identification scheme for topological superconductivity.

This system becomes more interesting as interactions between electrons are involved. By modeling edge states as a Luttinger liquid, we find conductance provides universal signatures to distinguish between normal and topological superconductors. More specifically, we use renormalization group methods to extract universal transport characteristics of superconductor/quantum spin Hall heterostructures where the native edge states serve as a lead. Interestingly, arbitrarily weak interactions induce qualitative changes in the behavior relative to the free-fermion limit, leading to a sharp dichotomy in conductance for the trivial (narrow superconductor) and topological (wide superconductor) cases. Furthermore, we find that strong interactions can in principle induce parafermion excitations at a superconductor/quantum spin Hall junction.

As we identify the existence of topological superconductor, we can take a step further. One can use topological superconductor for realizing Majorana modes by breaking time reversal symmetry. An advantage of 2D topological insulator is that networks required for braiding Majoranas along the edge channels can be obtained by adjoining 2D topological insulator to form corner junctions. Physically cutting quantum wells for this purpose, however, presents technical challenges. For this reason, I propose a more accessible means of forming networks that rely on dynamically manipulating the location of edge states inside of a single 2D topological insulator sheet. In particular, I show that edge states can effectively be dragged into the system's interior by gating a region near the edge into a metallic regime and then removing the resulting gapless carriers via proximity-induced superconductivity. This method allows one to construct rather general quasi-1D networks along which Majorana modes can be exchanged by electrostatic means.

Apart from 2D topological insulators, Majorana fermions can also be generated in other more accessible materials such as semiconductors. Following up on a suggestion by experimentalist Charlie Marcus, I proposed a novel geometry to create Majorana fermions by placing a 2D electron gas in proximity to an interdigitated superconductor-ferromagnet structure. This architecture evades several manufacturing challenges by allowing single-side fabrication and widening the class of 2D electron gas that may be used, such as the surface states of bulk semiconductors. Furthermore, it naturally allows one to trap and manipulate Majorana fermions through the application of currents. Thus, this structure may lead to the development of a circuit that enables fully electrical manipulation of topologically-protected quantum memory. To reveal these exotic Majorana zero modes, I also proposed an interference scheme to detect Majorana fermions that is broadly applicable to any 2D topological superconductor platform.

Gerando eus, tecendo redes e trançando nós: ditos e não ditos das professoras e estudantes negras nos cotidianos do curso de pedagogia

O presente trabalho objetiva compreender como a temática afrobrasileira era abordada nos cotidianos do Curso de Pedagogia, campus I, da Universidade Estadual da Paraíba. A questão norteadora da pesquisa foi descobrir como professoras e estudantes negras se sentem e enfocam essa temática nas suas redes de conhecimentos, práticas e relações. Para tanto, foi preciso adentrar na história do povo negro no Brasil a partir da luta dos movimentos sociais negros buscando entender as noções de raça, racismo, identidade e os limites da educação do/a negro/a ao longo da história brasileira. Neste percurso se dialoga com diversos estudiosos/as como: Santos (2002), Viana (2007), Oliveira (2003, 2006, 2007, 2008), Fernandes (2007), Domingues (2009), Munanga (2002, 2006, 2009), Veiga (2007, 2008)), Pereira (2008, 2009), Gomes (2003, 2006, 2008), Morin (2000), Hall (2003), Moreira e Câmara (2008), dentre outros. Exemplificando a luta e a resistência de mulheres negras são apresentadas as histórias de vida de quatro professoras e quatro estudantes negras, praticantes (CERTEAU, 2007), sujeitos da pesquisa, que expõem o processo de tessitura de suas identidades. Suas narrativas evidenciam indícios de racismo e discriminação que marcaram suas trajetórias, desde o seio familiar, fortalecendo-se na escola, na academia e, para algumas, chegando até o ambiente de trabalho. Uma das professoras é a pesquisadora que, à medida que narra a história de vida das praticantes, tece sua própria história, como mulheres costurando uma colcha de retalhos em que cada estampa retrata os momentos vividos. A metodologia de pesquisa nos/dos/com os cotidianos (ALVES, 2008) foi o caminho percorrido. Além da observação dos cotidianos, foram realizadas conversas (LARROSA, 2003) sobre as histórias de vida (BOSI, 2003; PORTELLI, 1997) e tecidas as narrativas a partir dessas vivências. Estas revelaram que tais mulheres, ao longo de suas histórias, viveram/vivem processos de afirmaçãonegação, visto que suas identidades não são fixas, mas negociações e renegociações (MUNANGA, 2010) que geram alegrias e conflitos. O entendimento do que é Ser Negra é experimentado por cada uma, sem um modelo padrão para suas existências. Elas foram se gerando nas relações com o/a outro/a, em cada contexto familiar, escolar, acadêmico e profissional. São senhoras de suas vidas e mesmo as mais jovens buscam fazer suas histórias com autonomia. São praticantes porque lutaram/lutam para conquistar um lugar na vida, utilizando astúcias e táticas para fabricar (CERTEAU, 2007) meios de enfrentamento das adversidades. As táticas do silêncio, do estudo e do trabalho revelaram que essas mulheres não ficaram invisíveis nem se colocaram como vítimas no espaço social. Assim, urge delinear a superação da visão da pessoa negra a partir dos traços físicos e reconhecer as raízes do povo brasileiro para compreender a história da negritude. A partir da ancestralidade, serão identificadas as origens do povo negro, que poderão trazer o passado de resistência e luta por liberdade, dignidade, cidadania que produzem o orgulho de ser negra. Orgulho que recupera a autoestima e a capacidade de organização e mobilização para combater o racismo e as desigualdades raciais. Os cursos de formação docente precisam abordar essa temática para capacitar os/as futuros/as professores/as nessa tarefa. Essa abordagem envolve o ensinaraprender, em que professores/as e estudantes assumem compromisso com uma educação crítica e inclusiva. A reflexão entre os/as docentes formadores/as nessa perspectiva plural e intercultural poderia ajudar na superação do eurocentrismo ainda presente nos conteúdos e nas mentalidades. Sob essa ótica, tecer um processo de formação docente no Curso de Pedagogia, comprometido com uma educação inclusiva, considera um contínuo fazerdesfazer, na tessitura de um diálogo permanente entre a práticateoriaprática, num movimento de pesquisaintervenção. Isso implica a reflexão da trajetória pessoal e coletiva e a articulação da ação pedagógica com um projeto político de transformação da sociedade excludente em sociedade plural e solidária. Os não ditos necessitam de aprofundamento em trabalhos posteriores, pois os silenciamentos se referem ao passado próximo e as relações interraciais na família, na academia e também nos ambientes de trabalho. Será que não existe mais racismo? Ou este foi naturalizado dificultando sua identificação nos cotidianos? Os limites do processo de introjeção do racismo, que provocam a invisibilidade de algumas praticantes, são novos desafios para estudos futuros. Assim, percebo que colcha de retalhos tecida ao longo desta trajetória não é justaposição como usualmente é entendida. Para além disto, significa a socialização das experiências vividas nos cotidianos das praticantes, a fim de inspirar atitudes de combate ao racismo que se ampliem para o contexto social.

Probing the large-scale topology of the heliospheric magnetic field using Jovian electrons

Jupiter’s magnetosphere acts as a point source of near-relativistic electrons within the heliosphere. In this study, three solar cycles of Jovian electron data in near-Earth space are examined. Jovian electron intensity is found to peak for an ideal Parker spiral connection, but with considerable spread about this point. Assuming the peak in Jovian electron counts indicates the best magnetic connection to Jupiter, we find a clear trend for fast and slow solar wind to be over- and under-wound with respect to the ideal Parker spiral, respectively. This is shown to be well explained in terms of solar wind stream interactions. Thus, modulation of Jovian electrons by corotating interaction regions (CIRs) may primarily be the result of changing magnetic connection, rather than CIRs acting as barriers to cross-field diffusion. By using Jovian electrons to remote sensing magnetic connectivity with Jupiter’s magnetosphere, we suggest that they provide a means to validate solar wind models between 1 and 5 AU, even when suitable in situ solar wind observations are not available. Furthermore, using Jovian electron observations as probes of heliospheric magnetic topology could provide insight into heliospheric magnetic field braiding and turbulence, as well as any systematic under-winding of the heliospheric magnetic field relative to the Parker spiral from footpoint motion of the magnetic field.

Medical textiles as vascular implants and their success to mimic natural arteries

Vascular implants belong to a specialised class of medical textiles. The basic purpose of a vascular implant (graft and stent) is to act as an artificial conduit or substitute for a diseased artery. However, the long-term healing function depends on its ability to mimic the mechanical and biological behaviour of the artery. This requires a thorough understanding of the structure and function of an artery, which can then be translated into a synthetic structure based on the capabilities of the manufacturing method utilised. Common textile manufacturing techniques, such as weaving, knitting, braiding, and electrospinning, are frequently used to design vascular implants for research and commercial purposes for the past decades. However, the ability to match attributes of a vascular substitute to those of a native artery still remains a challenge. The synthetic implants have been found to cause disturbance in biological, biomechanical, and hemodynamic parameters at the implant site, which has been widely attributed to their structural design. In this work, we reviewed the design aspect of textile vascular implants and compared them to the structure of a natural artery as a basis for assessing the level of success as an implant. The outcome of this work is expected to encourage future design strategies for developing improved long lasting vascular implants.

Agências reguladoras e contrato de gestão, limites e potencialidades

A presente dissertação tem por objetivo estudar como foram idealizados e como foram implementados os contatos de gestão, tendo por fim abordar limites e potencialidades deste instrumento, em relação as agências reguladoras federais, com uma abordagem mais dedicada a Agência Nacional de Saúde Suplementar, trançando um histórico do setor de saúde suplementar, porém com apontamentos de todas as agências reguladoras federais, quanto a utilização do contrato de gestão. O estudo foi desenvolvido com a apresentação de um breve retrato histórico desse instrumento, sua evolução e aspectos dos momentos histórico de sua implementação pelo governo federal. São apresentadas definições conceituais sobre contrato de gestão, descrição de sua organização e como se dá sua implementação nas agências reguladoras, como essas se organizam e utilizam essa ferramenta. Em seguida é feita uma breve abordagem de projeto de lei que entre outros assuntos trata sobre o contrato de gestão. Por fim, são apresentadas considerações sobre estudo realizado e apresenta-se a proposição de continuidade de novos estudos sobre o tema.

Suitability of carbon fiber-reinforced polymers as power cable cores: Galvanic corrosion and thermal stability evaluation

The increasing demand for electrical energy and the difficulties involved in installing new transmission lines presents a global challenge. Transmission line cables need to conduct more current, which creates the problem of excessive cable sag and limits the distance between towers. Therefore, it is necessary to develop new cables that have low thermal expansion coefficients, low densities, and high resistance to mechanical stress and corrosion. Continuous fiber-reinforced polymers are now widely used in many industries, including electrical utilities, and provide properties that are superior to those of traditional ACSR (aluminum conductor steel reinforced) cables. Although composite core cables show good performance in terms of corrosion, the contact of carbon fibers with aluminum promotes galvanic corrosion, which compromises mechanical performance. In this work, three different fiber coatings were tested (phenol formaldehyde resin, epoxy-based resin, and epoxy resin with polyester braiding), with measurements of the galvanic current. The use of epoxy resin combined with polyester braiding provided the best inhibition of galvanic corrosion. Investigation of thermal stability revealed that use of phenol formaldehyde resin resulted in a higher glass transition temperature. On the other hand, a post-cure process applied to epoxy-based resin enabled it to achieve glass transition temperatures of up to 200 degrees C. (C) 2014 Elsevier Ltd. All rights reserved.

Représentations et fusion des algèbres de Temperley-Lieb originale et diluée

Les algèbres de Temperley-Lieb originales, aussi dites régulières, apparaissent dans de nombreux modèles statistiques sur réseau en deux dimensions: les modèles d'Ising, de Potts, des dimères, celui de Fortuin-Kasteleyn, etc. L'espace d'Hilbert de l'hamiltonien quantique correspondant à chacun de ces modèles est un module pour cette algèbre et la théorie de ses représentations peut être utilisée afin de faciliter la décomposition de l'espace en blocs; la diagonalisation de l'hamiltonien s'en trouve alors grandement simplifiée. L'algèbre de Temperley-Lieb diluée joue un rôle similaire pour des modèles statistiques dilués, par exemple un modèle sur réseau où certains sites peuvent être vides; ses représentations peuvent alors être utilisées pour simplifier l'analyse du modèle comme pour le cas original. Or ceci requiert une connaissance des modules de cette algèbre et de leur structure; un premier article donne une liste complète des modules projectifs indécomposables de l'algèbre diluée et un second les utilise afin de construire une liste complète de tous les modules indécomposables des algèbres originale et diluée. La structure des modules est décrite en termes de facteurs de composition et par leurs groupes d'homomorphismes. Le produit de fusion sur l'algèbre de Temperley-Lieb originale permet de «multiplier» ensemble deux modules sur cette algèbre pour en obtenir un autre. Il a été montré que ce produit pouvait servir dans la diagonalisation d'hamiltoniens et, selon certaines conjectures, il pourrait également être utilisé pour étudier le comportement de modèles sur réseaux dans la limite continue. Un troisième article construit une généralisation du produit de fusion pour les algèbres diluées, puis présente une méthode pour le calculer. Le produit de fusion est alors calculé pour les classes de modules indécomposables les plus communes pour les deux familles, originale et diluée, ce qui vient ajouter à la liste incomplète des produits de fusion déjà calculés par d'autres chercheurs pour la famille originale. Finalement, il s'avère que les algèbres de Temperley-Lieb peuvent être associées à une catégorie monoïdale tressée, dont la structure est compatible avec le produit de fusion décrit ci-dessus. Le quatrième article calcule explicitement ce tressage, d'abord sur la catégorie des algèbres, puis sur la catégorie des modules sur ces algèbres. Il montre également comment ce tressage permet d'obtenir des solutions aux équations de Yang-Baxter, qui peuvent alors être utilisées afin de construire des modèles intégrables sur réseaux.

A mixer design for the pigtail braid

The stirring of a body of viscous fluid using multiple stirring rods is known to be particularly effective when the rods trace out a path corresponding to a nontrivial mathematical braid. The optimal braid is the so-called "pigtail braid", in which three stirring rods execute the usual "over-under" motion associated with braiding plaiting) hair. We show how to achieve this optimal braiding motion straightforwardly: one stirring rod is driven in a figure-of-eight motion, while the other two rods are baffles, which rotate episodically about their common centre. We also explore the extent to which the physical baffles may be replaced by flow structures (such as periodic islands).

Représentations et fusion des algèbres de Temperley-Lieb originale et diluée

Les algèbres de Temperley-Lieb originales, aussi dites régulières, apparaissent dans de nombreux modèles statistiques sur réseau en deux dimensions: les modèles d'Ising, de Potts, des dimères, celui de Fortuin-Kasteleyn, etc. L'espace d'Hilbert de l'hamiltonien quantique correspondant à chacun de ces modèles est un module pour cette algèbre et la théorie de ses représentations peut être utilisée afin de faciliter la décomposition de l'espace en blocs; la diagonalisation de l'hamiltonien s'en trouve alors grandement simplifiée. L'algèbre de Temperley-Lieb diluée joue un rôle similaire pour des modèles statistiques dilués, par exemple un modèle sur réseau où certains sites peuvent être vides; ses représentations peuvent alors être utilisées pour simplifier l'analyse du modèle comme pour le cas original. Or ceci requiert une connaissance des modules de cette algèbre et de leur structure; un premier article donne une liste complète des modules projectifs indécomposables de l'algèbre diluée et un second les utilise afin de construire une liste complète de tous les modules indécomposables des algèbres originale et diluée. La structure des modules est décrite en termes de facteurs de composition et par leurs groupes d'homomorphismes. Le produit de fusion sur l'algèbre de Temperley-Lieb originale permet de «multiplier» ensemble deux modules sur cette algèbre pour en obtenir un autre. Il a été montré que ce produit pouvait servir dans la diagonalisation d'hamiltoniens et, selon certaines conjectures, il pourrait également être utilisé pour étudier le comportement de modèles sur réseaux dans la limite continue. Un troisième article construit une généralisation du produit de fusion pour les algèbres diluées, puis présente une méthode pour le calculer. Le produit de fusion est alors calculé pour les classes de modules indécomposables les plus communes pour les deux familles, originale et diluée, ce qui vient ajouter à la liste incomplète des produits de fusion déjà calculés par d'autres chercheurs pour la famille originale. Finalement, il s'avère que les algèbres de Temperley-Lieb peuvent être associées à une catégorie monoïdale tressée, dont la structure est compatible avec le produit de fusion décrit ci-dessus. Le quatrième article calcule explicitement ce tressage, d'abord sur la catégorie des algèbres, puis sur la catégorie des modules sur ces algèbres. Il montre également comment ce tressage permet d'obtenir des solutions aux équations de Yang-Baxter, qui peuvent alors être utilisées afin de construire des modèles intégrables sur réseaux.

Generalizations of Poisson Structures Related to Rational Gaudin Model

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