Diese Dissertation ist dem Studium temperierter Distributionen mittels mikrolokaler Methoden gewidmet. Die fundamentale Größe der mikrolokalen Analysis, die Wellenfrontmenge, wird durch zwei analoge Konzepte ersetzt, die den pseudo-differentiellen SG- und Shubin-Kalkülen zugeordnet sind. Die Eigenschaften dieser globalen Wellenfrontmengen werden studiert und ferner werden unterschiedliche Möglichkeiten, diese globalen Singularitäten zu charakterisieren, untersucht, insbesondere mittels der FBI-Transformation. Zahlreiche Konstruktionen, die den klassischen Wellenfrontmengenbegriff beinhalten, werden in den globalen Kontext übersetzt, insbesondere Rechenoperationen mit temperierten Distributionen wie etwa (getwistete) Produkte, Pull-backs und Paarungen, für die mikrolokale Existenzkriterien angegeben werden. Als eine Anwendung wird eine Klasse von temperierten Oszillatorintegralen eingeführt, welche durch inhomogene Phasenfunktionen und Amplituden aus SG-Symbolklassen parametrisiert werden. Die SG-Wellenfrontmengen dieser Distributionen werden untersucht und es stellt sich heraus, dass diese durch eine Verallgemeinerung der Menge stationärer Punkte der Phasenfunktionen beschränkt werden. In diesem Kontext wird eine Verallgemeinerung des klassischen Begriffs einer konischen Lagrange-Untermannifaltigkeit des T*R^d vorgenommen und diese Objekte werden auf ihre Parametrisierungseigenschaften untersucht. Es stellt sich heraus, dass jedes solche Objekt lokal als die Menge der stationären Punkte einer SG-Phasenfunktion realisiert werden kann. Als weitere Anwendung werden einige Konstruktionen der axiomatischen Quantenfeldtheorie, die Distributionen beinhalten, im temperierten Kontext realisiert.

[1] Four specimens of zoned tourmaline from granitic pegmatites are characterised in detail, each having unusual compositional and/or morphologic features: (1) a crystal from Black Rapids Glacier, Alaska, showing a central pink zone of elbaite mantled by a thin rim of green liddicoatite; (2) a large (~25 cm) slab of Madagascar liddicoatite cut along (001) showing complex patterns of oscillatory zoning; and (3) a wheatsheaf and (4) a mushroom elbaite from Mogok, Myanmar, both showing extensive bifurcation of fibrous crystals originating from a central core crystal, and showing pronounced discontinuous colour zoning. Crystal chemistry and crystal structure of these samples are characterised by SREF, EMPA, and 11B and 27Al MAS NMR and Mössbauer spectroscopies. For each sample, compositional change, as a function of crystal growth, is characterised by EMPA traverses, and the total chemical variation is reduced to a series of linear substitution mechanisms. Of particular interest are substitutions accommodating the variation in [4]B: (1) TB + YAl ↔ TSi + Y(Fe, Mn)2+, where transition metals are present, and (2) TB2 + YAl ↔ TSi2 + YLi, where transition metals are absent. Integration of all data sets delineates constraints on melt evolution and crystal growth mechanisms. [2] Uncertainty has surrounded the occurrence of [4]Al and [4]B at the T-site in tourmaline, because B is difficult to quantify by EMPA and Al is typically assigned to the octahedral Y- and Z-sites. Although both [4]Al and [4]B have been shown to occur in natural tourmalines, it is not currently known how common these substituents are. Using 11B and 27Al MAS NMR spectroscopy, the presence of [4]B and [4]Al is determined in fifty inclusion-free tourmalines of low transition-metal content with compositions corresponding to five different species. Chemical shifts of [4]B and [3]B in 11B spectra, and [4]Al and [6]Al in 27Al spectra, are well-resolved, allowing detection of very small (< ~0.1 apfu) amounts of T-site constituents. Results show that contents of 0.0 < [4]B, [4]Al < 0.5 apfu are common in tourmalines containing low amounts of paramagnetic species, and that all combinations of Si, Al and B occur in natural tourmalines.

The structure and dynamics of the smectic-A liquid crystal 8CB (4 cyano-4 octylbiphenyl) when sheared and confined to mesoscale gaps (with crossed cylindrical geometry and mica confining surfaces) were studied using a Surface Forces Apparatus (SFA). Triangular shear patterns with frequencies of 0.01, 0.1, 1.0 and 10 Hz, and amplitudes of 62.5 nm, 625 nm and 6.25 m were applied to samples at gap sizes of 0.5 and 5.0 m. The study was performed at room temperature (20.5C) and at two higher temperatures (22C and 27C). In order to minimize the thermal fluctuations within the test chamber and hence to allow for the rapid re-initialization of test runs, the SFA was modified to allow for quick, precise and remote control of the confining surfaces. The procedure maximized the number of tests that could be undertaken with a single pair of surfaces so that a single gap geometry could be maintained for the duration of the test run. In order to run the SFA remotely, scripts written with a commercial software package, LabVIEW, were used to control of the SFA components, its FECO-monitoring camera and all its peripheral electronic equipment as well. Samples were agitated to disrupt any shear-induced liquid crystal domain alignment from previous testing following each shear test, and methodologies were developed to ascertain the extent of confinement quickly and remotely following agitation. Separate methods were developed for gap sizes at each extreme of the mesoscale regime, where the transition from bulklike structure and dynamics to nano-confinement occurs (between 1 and 10 microns for smectic-A 8CB). The results revealed that the greater amplitude-gap aspect ratio and surface-to-domain contact associated with smaller gaps facilitated reorientation of the domains in the shear direction. Evidence was also presented of domains at the higher end or outside of the mesoscale regime that, while straining and accreting, were unable to reorient and thereby led to an overall increase of viscoelastic response. The effective viscosity was found to obey a simple power law with respect to shear rate, , and the flow behaviour indices, n, slightly in excess of unity indicate shear thickening occurs with large enough shear amplitude, and that the viscosity reached a plateau near unity over shear rates of 0.005 to 500 s-1 within the mesoscale regime. Different K and n values were observed depending on the shear amplitude used. Unlike bulk smectic 8CB, whose domains do not align well in the shear direction with large shear-strain amplitude, at mesoscale levels of confinement large amplitude shearing (up to 12.5 shear strain amplitude) was found to be very effective at aligning domains. In general domain reorientation is found to be much more rapid within the mesoscale regime than has been reported in bulk. Aggressive shearing was found to result in a complete drop in viscoelastic response within seconds, while gentler shearing is found to produce a very gradual increase that persists for more than six hours, with individual shear periods exhibiting frequent and significant deviations from the expected smooth shear path that may be a product of discrete domain reorientations. From these findings, certain traits of the smectic 8CB domain structures under mesoscale confinement were deduced, including how they respond to shear depending on the level of confinement, and how their reorientation due to shear varies not only with shear rate but also independently with shear amplitude. An equation describing the viscosity change as a function of both shear rate and shear amplitude is proposed. The shear amplitude dependence introduces the notion of shearing beyond the proposed smectic 8CB “viscoelastic limit”, which was shown to exhibit behaviour in accordance with Large Amplitude Oscillatory Shear (LAOS) techniques developed for Fourier Transform rheology. The findings provided an understanding of the behavioural changes that occur as one reduces the level of confinement of smectic materials from bulk to nanoconfinement.

Computational fluid dynamics (CFD) modeling is possibly the best available technique in designing and predicting the performance of Stirling and pulse tube refrigerators (PTR). One of the limitations of CFD modeling of these systems, however, is that it requires closure relations for the micro porous materials housed within their regenerators and heat exchangers. Comprehensive prediction of fluid-solid interaction through this media can be obtained only by direct pore level simulation, a process which is time consuming and impractical for system level examination. Through the application of empirical correlations including the Darcy permeability and Forchheimer's inertial coefficient, the microscopic momentum equations governing fluid behavior within the porous structure can be recast as viable macroscopic governing equations. With these constitutive relationships, CFD can be an efficient and powerful tool for system modeling and optimization. The purpose of this study is to determine the hydrodynamic parameters of two mesh fillers relevant to miniature PTRs; stacked screens of 635 mesh stainless steel and 325 mesh phosphor-bronze wire cloth. Experimental setups were designed and fabricated to measure steady and oscillatory pressures and mass flow rates of the working fluid, research-grade helium. Hydrodynamic parameters for the two mesh fillers were determined for steady-state and steady periodic flow in both the axial and radial directions for a range of flow rates, operating frequencies and charge pressures. The effect of average pressure on the steady axial flow hydrodynamic parameters of other common PTR filler materials was also investigated. The determination of sample hydrodynamic parameters and their subsequent computational and experimental methodologies utilized are explained.

Active matter refers to systems driven out of thermal equilibrium by the uptake and dissipation of energy directly at the level of the individual constituents, which then undergo systematic movement in a direction decided by their own internal state. This category of nonequilibrium systems was defined as the physical model of motile, metabolizing matter, but the definition has a wider application. In this thesis we work with monolayer of macro-scopic granular particles lying on a vibrated surface and show that it provides a faithful realisation of active matter. The vibration feeds energy into the tilting vertical motion of the particles, which transduces it into a horizontal movement via frictional contact with the base in a direction determined by its orientation in the plane. We show that the dynamics of the particles can be easily controlled by manipulating their geometrical shapes. In the second part of the thesis, not addressing active matter, we do experiments on a soft condensed mat-ter system of viscoelastic surfactant gel formed of an entangled network of wormlike micelles and shows shear-thinning and is therefore non-Newtonian. These systems have relaxation times of the order of seconds and we have studied their non-equilibrium response properties when driven out of equilibrium externally by the gravitational sedimentation of objects and rising air-bubbles. Chapter 1 gives a general introduction to the term active matter and emphasize particularly on how these systems are internally driven and work far away from the equilibrium. We then explain in detail how a system of granular particles lying on a vibrating surface acts as active matter. We later give a brief introduction to the field of soft condensed matter and discuss the viscoelastic properties of surfactant solutions and their phase behaviour. We end this chapter by giving a brief introduction to flocking and non-equilibrium fluctuation relations which act as prerequisite to the following chapters. In Chapter 2 we discuss the experimental techniques used by us. We will first describe the shapes and dimensions of the granular particles used in the experiments. Next we introduce the shaker set-up and describe the experimental cell in which the particles are confined and variation in cell’s boundary. We show the dynamics of the particles in a quasi one-dimensional channel and then in two-dimensions. We give a brief account of image analysis and tracking algorithms employed and other data analyses techniques. In Chapter 3, we study the non-equilibrium fluctuations of a self-propelled polar particle moving through a background of non-motile spherical beads in the context of the Gallavotti-Cohen Fluctuation Relation (GCFR), which generalizes the second law of thermodynamics by quantifying the relative probabilities of the instantaneous events of entropy consumption and production. We find a fluctuation relation for a non-thermodynamic quantity, the velocity component along the long axis of the particle. We calculate the Large Deviation Function (LDF) of the velocity fluctuations and find the first experimental evidence for its theoretically predicted slope singularity at zero. We also propose an independent way to estimate the mean phase-space contraction rate. In Chapter 4 we expand the analysis done in Chapter 3 and study the two-dimensional velocity vector of the particle in the context of Isometric Fluctuation Relation (IFR) which measures the relative probability of current fluctuations in different directions in space of dimension >1. We first show that the dynamics of the particle is not isotropic and present a minimal model for its dynamics as a biased random walker, driven by a noise with anisotropic strength and construct an Anisotropic IFR (AIFR). We then show that the velocity statistics of the polar particle agree with the AIFR. We also confirm that the GCFR can be obtained as a special case of AIFR when the velocity vectors point in opposite directions. We calculate the LDF of particle’s velocity vector and find an extended kink in the velocity plane. In Chapter 5 we study the flocking phenomenon of a collection of polar particles when moving through a background of non-motile beads. We show that in the presence of bead medium, polar particles can flock at much lower concentrations, in contrast to the Vicsek model which predicts flocking at high concentrations. We show that the moving rods lead to a bead flow which in turn helps them to communicate their orientations and velocities at much greater distances. We provide a phase diagram in the parameter space of concentrations of beads and polar particles and show power-law spatial correlations as we approach the phase boundary. We also discuss the numerical simulations and theoretical model presented which support the experiments results. In Chapter 6 we experimentally study the angle dependence of the trapping of collection of active granular rods in a chevron shaped geometry. We show the particles undergo a trapping-detrapping transition at θ = 1150. On the contrary, this angle value is θ = 700 for a single rod. We find a substantial decrease in rotational noise for a collection of particles inside a trap as compared to a single rod which explains the increased value of θ for the trapping-detrapping transition. We also show that polar active particles which tend to change their direction of motion do not show the trapping phenomenon. In Chapter 7 we conduct experiments on falling balls and rising air bubbles through a non-Newtonian solution of surfactant CTAT in water, which forms a viscoelastic wormlike micellar gel. We show that the motion of the ball undergoes a transition from a steady state to oscillatory as the diameter of the ball is increased. The oscillations in velocity of the ball are non-sinusoidal, consisting of high-frequency bursts occurring periodically at intervals long compared to the period within the bursts. We present a theoretical model based on a slow relaxation mechanism owing to structural instabilities in the constituent micelles of the viscoelastic gel. For the case of air bubbles, we show that an air bubble rising in the viscoelastic gel shows a discontinuous jump in the velocity beyond a critical volume followed by a drastic change in its shape from a teardrop to almost spherical. We also observe shape oscillations for bigger bubbles with the tail swapping in and out periodically.

L'utilisation de systèmes légers non linéaires permet de réaliser le contrôle vibratoire de structures subissant des oscillations non acceptables en termes de confort pour l'usager ou de sécurité de l'ouvrage. L'étude des puits d'énergie non linéaires, ou « Nonlinear Energy Sinks » (NES), a notamment fait l'objet de nombreuses recherches depuis le début des années 2000. Sa non-linéarité lui confère des capacités de pompage énergétique large bande, c'est-à-dire pour un large intervalle de fréquences de sollicitation, ce qui représente un avantage significatif en comparaison des absorbeurs comme l'amortisseur à masse accordée. Le but de ce manuscrit est d'étudier le couplage de chaîne d'oscillateurs non linéaires à des systèmes dynamiques linéaires soumis à des sollicitations harmoniques et d'analyser d'une part le comportement global du système, et d'autre part les potentialités de contrôle passif de telles chaînes. Une méthodologie analytique générale est présentée, puis appliquée à des exemples où des absorbeurs à non-linéarités cubiques à un, puis à N degrés de liberté sont attachés à un oscillateur linéaire. Une variation de cette méthodologie adoptant une vision continue de la chaîne est ensuite proposée. Enfin, un dispositif expérimental étudie le comportement d'un modèle réduit de bâtiment à un étage couplé à une chaîne de huit oscillateurs non linéaires. / Nonlinear light oscillators can be used for performing vibratory passive control of structures undergoing unacceptable oscillations in terms of comfort and safety. The study of Nonlinear Energy Sinks (NES) has been especially subject to an important research effort since the beginning of the 2000s. Its essential nonlinearity enables it to achieve large-band energy pumping, which is a significant advantage in comparison with classical Tuned Mass Dampers. In this manuscript, nonlinear chains of oscillators coupled to linear systems under harmonic excitation are studied. The main goal is to understand the behavior of the whole system and find evidence of passive control abilities of such chains. First of all, a general analytical methodology is presented and applied to examples where single and multi-degree-of-freedom absorbers with cubic nonlinearities are linked to a linear oscillator. A modification of this approach by considering the chain in the form of a continuous approximation is then proposed. Finally, an experimental device composed of a single storey reduced-scale building coupled to a chain of eight nonlinear oscillators is investigated.

Understanding crystallisation in magma chambers is a key challenge for igneous petrology. It is particularly important to understand the origins of layering in peralkaline rocks, e.g. the kakortokite (nepheline syenite), Ilímaussaq Complex, S. Greenland, as these are commonly associated with high value multi-element economic deposits. The kakortokite is a spectacular example of macrorhythmic (>5 m) layering. Each unit consists of three layers comprising arfvedsonite-rich (sodic-amphibole) black kakortokite at the base, grading into eudialyte-rich (sodic-zirconosilicate) red kakortokite, then alkali feldspar- and nepheline-rich white kakortokite. Each unit is numbered -19 to +17 relative to a characteristic well-developed horizon (Unit 0), however there is little consensus on their development. This project applies a multidisciplinary approach through field observations combined with petrography, crystal size distributions (CSDs), mineral and whole rock chemistries on Units 0, -8 to -11 and a phonolite/micro-nephelinolite (“hybrid”) sequence that crosscuts the layered kakortokite. Textures and compositions are laterally consistent across outcrop and indicators of current activity are rare. CSDs indicate in situ crystallisation with gravitational settling as a minor process. Chemical discontinuities occur across unit boundaries. The layering developed through large-scale processes under exceptionally quiescent conditions. The discontinuities reflect open-system behaviour; units were formed by an influx of volatile-rich magma that initiated crystallisation in a bottom layer. Nucleation was initially suppressed by high volatile element concentrations, which decreased to allow for crystallisation of arfvedsonite, followed by eudialyte, then alkali feldspar and nepheline to form each tripartite unit. The chemistry of the hybrid indicates mixing between a primitive (sub-alkaline) magma and kakortokite. Thus injections of magmas of varying compositions occurred, indicating a complex plumbing system below current exposure. The lessons learned at Ilímaussaq, which is extremely well exposed and preserved, are relevant to understanding magma chamber dynamics in the more common instances of pervasively altered peralkaline rocks.

Ce travail propose d’interroger la constitution du lien thérapeutique avec des enfants présentant des troubles autistiques ou psychotiques. Ces pathologies narcissiques-identitaires considérées comme troubles majeurs de l’intersubjectivité soumettent nos dispositifs de soins à de constants ajustements, pour accueillir ce que ces sujets nous livrent avec insistance, et qui prend la forme de comportement répétitifs. Nous sommes dans une pratique clinique extrême, aux confins du langage qui nous oblige à repenser notre cadre interne, à redéfinir nos postures, pour soutenir un travail de symbolisation. Retirés dans une sensorialité réconfortante ou absorbés dans des activités ritualisées, ces sujets nous engagent psychiquement et corporellement à « trouver-créer » comment leur faire signe pour établir le contact et relancer les processus de réflexivité entravés. La trajectoire vers l’autre, détour essentiel à la subjectivation des éprouvés corporels est à construire. Ce travail est une modélisation de cette trajectoire du retrait devant l’objet à l’attrait pour l’objet. Deux notions sont développées, celle de l’effacement et celle de l’oscillatoire, qui viennent figurer la dynamique de la rencontre, faite de rapprochements et d’éloignements. Les « états de présence » du thérapeute sont un rouage essentiel de ce processus d’attraction, dont l’accomplissement sera « le partage d’affects ». / This work presents an investigation of the therapeutic relation to children with autistic or psychotic problems. These narcissistic-identity pathologies, considered as a major problem of intersubjectivity, submit our instruments of care to constant adjustment; in order to harvest what these subjects insistently present in the form of repetitive behaviors. We find ourselves in an extreme of clinical practice, at the limits of language, which forces us to reconsider our internal framework and redefine our positions with the aim of supporting a task of symbolization. Withdrawn into a comforting sensoriality or absorbed in ritualized activities, these subjects engage us psychically and corporally to "find-create" how to draw attention so as to establish contact and relaunch the inhibited processes of reflection.The trajectory towards the other, an essential detour towards the subjectivizing of corporeal feelings, is in need of construction. This work models that trajectory from withdrawal before the object to the attraction towards the object. Two concepts are developed, that of erasure and of the oscillatory. They come to fashion the dynamics of interaction, composed of advances and retreats. The "states of presence" of the therapist are an essential cog in the process of attraction, for which attainment becomes "affective sharing".

Tato diplomová práce se zabývá aktuálními poznatky, společně s optimalizací oscilačních měření pomocí hybridního reometru, ale hlavně pozorováním změn reologických parametrů v čase past mleté granulované vysokopecní strusky aktivované různými aktivačními roztoky s koncentrací alkálií M: 4 and 7.5 moldm. Výsledky byly pro diskuzi podpořeny výstupy z Vicatovy metody a izotermické kalorimetrie. Nejprve bylo zjištěno, že limit lineární viskoelastické oblasti se zmenšuje v čase. Dále bylo pozorováno, že v time sweep testech vykazovala struska aktivovaná křemičitany nejnižší hodnoty komplexního modulu a struska aktivovaná hydroxidy o koncentraci 4 moldm nejvyšší hodnoty a ostatní pasty vykazovaly hodnoty mezi těmito dvěma extrémy a měly mezi sebou porovnatelné hodnoty. Podobný trend byl pozorován u vývoje kritické meze oscilačního napětí, získaného z amplitude sweep testů (přerušovaně a nepřerušovaně). Oba výše zmíněné parametry, komplexní modul a mez napětí, se vyvíjely v čase. Výsledky všech testů jasně ukázaly, že povrchová chemie hraje roli ve výsledném reologickém chování. Odsud, povaha a koncentrace aktivátoru ovlivňují reologické vlastnosti skrze efekty Na a K iontů, stejně tak skrze koncentraci, která má dopad na elektickou dvojnou vrstvu. Reologické chování může být také ovlivněno dalšími faktory, např. viskozitou aktivačního roztoku a celkovou kinetikou hydratačního procesu.

Background: Ventilatory pressures should target the range between the upper and lower inflection point of the pressure volume curve in order to avoid atelecto- and volutrauma. During high-frequency oscillatory ventilation (HFOV), this range is difficult to determine. Quadrant impedance measurement (QIM) has recently been shown to allow accurate and precise measurement of lung volume changes during conventional mechanical ventilation. Objectives: To investigate if QIM can be used to determine a static pressure-residual impedance curve during a recruitment-derecruitment manoeuvre on HFOV and to monitor the time course of alveolar recruitment after changing mean airway pressure (MAP). Methods: An incremental and decremental MAP trial (6 cm H₂O to 27 cm H₂O) was conducted in five surfactantdepleted newborn piglets during HFOV. Ventilatory, gas exchange and haemodynamic parameters were recorded. Continuous measurement of thoracic impedance change was performed. Results: Mean residual impedance (RI) increased with each stepwise increase of MAP resulting in a total mean increase of +26.5% (±4.0) at the highest MAP (27 cm H₂O) compared to baseline ventilation at 6 cm H₂O. Upon decreasing MAP levels, RI fell more slowly compared to its ascent; 83.4% (±19.1) and 84.8% (±16.4) of impedance changes occurred in the first 5 min after an increase or decrease in airway pressure, respectively. Conclusions: QIM could be used for continuous monitoring of thoracic impedance and determination of the pressure-RI curve during HFOV. The method could prove to be a promising bedside method for the monitoring of lung recruitment during HFOV in the future.