T-duality without isometry via extended gauge symmetries of 2D sigma models

Target space duality is one of the most profound properties of string theory. However it customarily requires that the background fields satisfy certain invariance conditions in order to perform it consistently; for instance the vector fields along the directions that T-duality is performed have to generate isometries. In the present paper we examine in detail the possibility to perform T-duality along non-isometric directions. In particular, based on a recent work of Kotov and Strobl, we study gauged 2D sigma models where gauge invariance for an extended set of gauge transformations imposes weaker constraints than in the standard case, notably the corresponding vector fields are not Killing. This formulation enables us to follow a procedure analogous to the derivation of the Buscher rules and obtain two dual models, by integrating out once the Lagrange multipliers and once the gauge fields. We show that this construction indeed works in non-trivial cases by examining an explicit class of examples based on step 2 nilmanifolds.

Synthèses et propriétés thermiques et photophysiques de nouveaux polymères de coordination à base de CuX (X = Cl, Br, I) et de ligands mono- ou dithioéthers

La recherche sur la conception de nouveaux matériaux, dits intelligents, est en constant progrès depuis plus de 30 ans. Historiquement, les premiers matériaux utilisés et transformés par l’homme étaient le bois, les minéraux et ses dérivés (pierre, métaux, etc.). C’est à la fin du 19e siècle que la synthèse des polymères organiques et inorganiques ainsi que leurs utilisations se développèrent. Ce progrès continue de nos jours. Ainsi, c’est dans cette direction que cette thèse fut rédigée, l’étude de polymères de coordination basés sur le cuivre(I). Elle s’orchestra en six principales sections de recherche. La première section, i.e. le chapitre 2 traite de la coordination de différents ligands monothioéthers sur du CuX (X = I, Br) pour former plusieurs types de polymères de coordination (CPs). Ainsi, le CP 1D [(Me[indice inférieur 2]S)[indice inférieur 3]{Cu[indice inférieur 2]([mu]-I)[indice inférieur 2}][indice inférieur n] est obtenu quand CuI et Sme[indice inférieur 2] réagissent ensemble dans le n-heptane, alors qu’ils entrainent la formation du CP 2D [(Me[indice inférieur 2]S) [indice inférieur 3] {Cu[indice inférieur 4]([mu]-I) [indice inférieur 4]}] [indice inférieur n] dans le MeCN. Ce dernier contient des unités de construction secondaire (SBU ; Secondary Building Units en anglais) en forme de cluster Cu[indice inférieur 4]I[indice inférieur 4] « cubane partiellement ouvert ». En faisant réagir le MeSEt avec du CuI, le CP 2D [(MeSEt) [indice inférieur 2]{Cu[indice inférieur 4] ([mu][indice inférieur 3]-I) [indice inférieur 2] ([mu][indice inférieur 2]-I) [indice inférieur 2]}(MeCN) [indice inférieur 2]] [indice inférieur n] contenant des SBUs de type Cu[indice inférieur 4]I[indice inférieur 4] « cubanes en escalier » a été isolé dans MeCN, alors qu’ils entrainent l’obtention du polymère 1D [(MeSEt) [indice inférieur 3]{Cu[indice inférieur 4] ([mu][indice inférieur 3]-I) [indice inférieur 4]}] [indice inférieur n] dans le n-heptane contenant quant à lui des clusters de types Cu[indice inférieur 4]I[indice inférieur 4] « cubanes fermés ». Alors que le traitement de MeSPr avec du CuI forme le CP 1D [(MeSPr) [indice inférieur 3]{Cu[indice inférieur 4] ([mu][indice inférieur 3]-I) [indice inférieur 4]}] [indice inférieur n], les composés [(L) [indice inférieur 4]{Cu[indice inférieur 4] ([mu][indice inférieur 3]-I) [indice inférieur 4]}] (L = EtSPr, Pr[indice inférieur 2]S) sont respectivement obtenus avec le EtSPr et le Pr[indice inférieur 2]S. À partir du [indice supérieur i]Pr[indice inférieur 2]S et de CuI, le cluster [([indice supérieur i]Pr[indice inférieur 2]S) [indice inférieur 6]{Cu[indice inférieur 8] ([mu][indice inférieur 3]-I) [indice inférieur 3]}([mu][indice inférieur 4]-I) [indice inférieur 2]}] est obtenu alors que l’on forme un CP 2D [(Cu[indice inférieur 3]Br[indice inférieur 3])(MeSEt) [indice inférieur 3]] [indice inférieur n] à partir de CuBr et MeSEt dans l’heptane. Ce dernier incorpore à la fois des Cu([mu][indice inférieur 2]-Br) [indice inférieur 2]Cu rhomboédriques et des SBUs de type Cu[indice inférieur 4]Br[indice inférieur 4] « cubanes ouverts ». Le MeSPr forme, quant à lui avec le CuBr dans l’heptane, le CP 1D [(Cu[indice inférieur 3]Br[indice inférieur 3])(MeSPr) [indice inférieur 3]] [indice inférieur n] qui, après recristallisation dans le MeCN, est converti en un CP 2D [(Cu[indice inférieur 5]Br[indice inférieur 5])([mu][indice inférieur 2]-MeSPr) [indice inférieur 3]] [indice inférieur n] incorporant des SBUs [(Cu[indice inférieur 5] ([mu][indice inférieur 4]-Br)([mu][indice inférieur 2]-Br)]. Les propriétés de stabilités thermiques et photophysiques de ces matériaux ont aussi été reportées.   Dans la section 2, i.e. au chapitre 3, les réactions entre des ligands dithioétherbutanes (1,4-bis(phénylthio)butane et 1,4-bis(cyclohexylthio)butane) avec CuX (X = Br, I) ont été étudiées. En faisant réagir les CuX avec le 1,4-bis(cyclohexylthio)butane, dans le ratio (1:1), les CPs 1D, peu luminescents, isostructuraux [(Cu[indice inférieur 2]X[indice inférieur 2])([mu]-CyS(CH[indice inférieur 2]) [indice inférieur 4])SCy) [indice inférieur 2]] [indice inférieur n] (X = Br, I) sont obtenus. Inversement, quand CuI réagit avec 1,4-bis(phénylthio)butane, dans le ratio (2:1), il se forme le préalablement reporté CP 2D [(Cu[indice inférieur 4]I[indice inférieur 4])([mu]- PhS(CH[indice inférieur 2]) [indice inférieur 4])SPh) [indice inférieur 2]] [indice inférieur n], alors qu’avec le CyS(CH[indice inférieur 2]) [indice inférieur 4])SCy, un nouveau composé luminescent est obtenu, mais sa structure n’a pas pu être résolue.(1) Les caractérisations habituelles en photophysique et en stabilité thermique ont été menées sur ces matériaux. Dans la troisième section, i.e. dans le chapitre 4, les réactions de coordination de CuX (Br, I) sur les ligands dithioétherbutènes E- et Z-PhS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])SPh, E- et Z-pTolS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])S-pTol ont été comparées. Quand les sels CuX réagissent avec E-PhS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])SPh les CP 2D [Cu[indice inférieur 2]X[indice inférieur 2]{[mu]-E-PhS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])SPh}[indice inférieur 2]] [indice inférieur n] (X = I, Br), composés isostructuraux, sont obtenus. Incorporant une structure sans-précédente, ces réseaux sont formés à partir de couches 2D en alternance ABAB, contenants des SBUs Cu[indice inférieur 2] ([mu][indice inférieur 2]-X) [indice inférieur 2] rhomboédriques. Inversement, quand l’isomère Z-PhS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])SPh réagit avec des sels de CuX, deux structures différentes sont obtenues : le CP 2D [Cu[indice inférieur 4] ([mu][indice inférieur 3]-I) [indice inférieur 4] ([mu]-Z-PhS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])SPh}[indice inférieur 2]] [indice inférieur n] contenant des SBUs de type « cubane fermé » et le complexe 0D [Cu[indice inférieur 2]Br[indice inférieur 2]{[mu]-Z-PhS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])SPh}[indice inférieur 2]]. De par la réaction de E-pTolS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])S-pTol avec CuI, le CP 2D [{Cu([mu][indice inférieur 3]-I)} [indice inférieur 2] ([mu]-E-pTolS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])S-pTol)]n contenant des rubans parallèles en escalier est obtenu, alors que la structure issue de CuBr n’a pas pu être résolue. Finalement, quand CuX réagit avec Z-pTolS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])S-pTol, les CPs 2D iso-structuraux [Cu[indice inférieur 2]X[indice inférieur 2]{[mu]-Z-pTolS(CH[indice inférieur 2]CH=CHCH[indice inférieur 2])S-pTol}[indice inférieur 2]] (X = I, Br) sont formés. Dans ce cas, contrairement, aux premières structures obtenues, les couches de ces CPs sont composées de grilles incorporant des SBUs rhomboédriques Cu[indice inférieur 2] ([mu][indice inférieur 2]-X) [indice inférieur 2] dont les distances Cu···Cu sont identiques d’une couche à l’autre. Les caractérisations habituelles en photophysique et en stabilités thermiques ont été menées sur ces matériaux. De plus, des calculs théoriques ont été réalisés afin de mieux comprendre les propriétés photophysiques de ces composés. La quatrième section, i.e. le chapitre 5, traite des réactions de CuX (Br, I, Cl) sur des ligands dithioétherbutynes (1,4-bis(pTolthio)but-2-yne et 1,4-bis(benzylthio)but-2-yne. Quand CuBr réagit avec 1,4-bis(pTolthio)but-2-yne, le CP 1D [{Cu([mu][indice inférieur 2]-Br) [indice inférieur 2]Cu}([mu]-pTolSCH[indice inférieur 2]C≡CCH[indice inférieur 2]S-pTol) [indice inférieur 2]] [indice inférieur n] est obtenu, alors que le CP 2D [{Cu[indice inférieur 4] ([mu][indice inférieur 3]-I) [indice inférieur 4]}([mu]-pTolSCH[indice inférieur 2]C≡CCH[indice inférieur 2]S-pTol) [indice inférieur 2]] [indice inférieur n], préalablement reporté, est formé.(2) La réaction des sels CuI et CuCl avec 1,4-bis(benzylthio)but-2-yne engendre la formation de complexes isomorphes 0D [{Cu([mu][indice inférieur 2]-X) [indice inférieur 2]Cu}([mu]-PhCH[indice inférieur 2]SCH[indice inférieur 2]C≡CCH[indice inférieur 2]SCH[indice inférieur 2]Ph) [indice inférieur 2]] (X = I, Br). Contrairement à l’utilisation de CuCl, qui avec PhCH[indice inférieur 2]SCH[indice inférieur 2]C≡CCH[indice inférieur 2]SCH[indice inférieur 2]Ph forme le CP 2D [{Cu[indice inférieur 2] ([mu][indice inférieur 2]-Cl)([mu] [indice inférieur 3]-Cl)}([mu]-PhCH[indice inférieur 2]SCH[indice inférieur 2]C≡CCH[indice inférieur 2]SCH[indice inférieur 2]Ph)] [indice inférieur n]. Notons que ce CP présente des propriétés de photophysique peu communes pour un dérivé chloré, car il émet de la lumière autour de 600 nm. La cinquième section, i.e. le chapitre 6, traite des réactions de CuI avec PhS(CH[indice inférieur 2]) [indice inférieur 8]SPh et pTolS(CH[indice inférieur 2]) [indice inférieur 8]S-pTol qui génèrent respectivement les CPs luminescents 1D [Cu[indice inférieur 4]I[indice inférieur 4]{[mu][indice inférieur 2]-PhS(CH[indice inférieur 2]) [indice inférieur 8]SPh}[indice inférieur 2]] [indice inférieur n] et 2D [Cu8I8{[mu]2-pTolS(CH2)8S-pTol}3(MeCN)2]n. Le CP 2D [Cu8I8{[mu]2-pTolS(CH2)8S-pTol}3 (MeCN)2]n présente un réseau qui n’avait jamais été rencontré dans la littérature auparavant, c.-à-d., des couches de polymère construites à partir de deux cubanes fermés pontés ensemble par un rhomboèdre comme SBUs. Leurs propriétés physiques et de stabilités thermiques ont été étudiées et présentent quelques différences notables. La sixième section, i.e. le chapitre 7, traite des réactions entre CuI avec le ligand flexible pTolS(CH[indice inférieur 2]) [indice inférieur 8]S-pTol dans le MeCN ou EtCN et p-[indice supérieur t]BuC[indice inférieur 6]H[indice inférieur 4]S(CH[indice inférieur 2]) [indice inférieur 8]SC[indice inférieur 6]H[indice inférieur 4]-p-[indice supérieur t]Bu L2 dans EtCN. Les synthèses issues de pTolS(CH[indice inférieur 2]) [indice inférieur 8]S-pTol permettent l’obtention de CPs 2D [Cu[indice inférieur 8]I[indice inférieur 8]{pTolS(CH[indice inférieur 2]) [indice inférieur 8]S-pTol}[indice inférieur 3] (solvant) [indice inférieur 2]] [indice inférieur n] (1•MeCN et 1•EtCN) contenant des nœuds de connexion de type Cu[indice inférieur 8]I[indice inférieur 8]. Par opposition, l’utilisation du ligand p-[indice supérieur t]BuC[indice inférieur 6]H[indice inférieur 4]S(CH[indice inférieur 2]) [indice inférieur 8]SC[indice inférieur 6]H[indice inférieur 4]-p-[indice supérieur t]Bu dans EtCN entraine la formation d’un CP 1D [Cu[indice inférieur 4]I[indice inférieur 4]{p-[indice supérieur t]BuC[indice inférieur 6]H[indice inférieur 4]S(CH[indice inférieur 2]) [indice inférieur 8]SC[indice inférieur 6]H[indice inférieur 4]-p-[indice supérieur t]Bu}[indice inférieur 2] (EtCN) [indice inférieur 2]] [indice inférieur n] incorporant les SBUs de type cubane fermé. Les CPs 2D 1•MeCN et 1•EtCN, contrairement à 2•EtCN, présentent l’habilité de pouvoir perdre le solvant initialement incorporé dans leur structure sous vide et de le readsorber ou d’adsorber un autre solvant, chose qui peut être suivie à l’aide de la variation de la luminescence, la stabilité thermique, ou encore par diffraction des rayons X sur poudre. La septième section, i.e. le chapitre 8 traite des réactions, une fois encore, entre un ligand dithioéther, contenant un pont flexible butane (EtS(CH[indice inférieur 2]) [indice inférieur 4]SEt) et les sels CuX (X = I, Br). Dans ce cas, il se forme avec le CuI un CP luminescent 2D [Cu[indice inférieur 4]I[indice inférieur 4]{[mu]-EtS(CH[indice inférieur 2]) [indice inférieur 4]SEt}[indice inférieur 2]] [indice inférieur n], alors qu’il génère avec CuBr, le CP 3D [(Cu[indice inférieur 2]Br[indice inférieur 2]){[mu]-EtS(CH[indice inférieur 2]) [indice inférieur 4]SEt}][indice inférieur n] faiblement luminescent, construit sur des couches en parallèle pontées par les soufres doublement n-donneurs. Il est intéressant de remarquer qu’une migration de l’énergie d’excitation se produit dans le CP 3D (dérivé bromé) contrairement au CP 2D (dérivé iodé) sous excitation de haute intensité. Très peu d’exemples présentent ce type de processus parmi tous les CPs ( < 10). Pour conclure, les réactions entre les sels CuX (X = Cl, Br, I) avec des ligands thioéthers de types différents (mono-, di-thio, rigide ou flexible) peuvent offrir des matériaux de structures variables (CP 0D, 1D, 2D, 3D avec et sans cavités) présentant leurs propres spécificités (luminescence, stabilité thermique, adsorption de gaz, solvatochromisme, etc.). Le résultat le plus important à noter, en comparaison avec la littérature est, qu’il est très difficile, voire impossible, de pouvoir prédire la dimensionnalité, la structure et les propriétés dont résultera la coordination des ligands thioéthers sur des sels de CuX (X = Cl, Br, I). Par conséquent, de nombreuses combinaisons et études restent encore à être menées pour mieux comprendre ces matériaux et trouver la, ou les meilleures combinaisons possibles pour concevoir des MOFs luminescents à partir de CuX.

Hierarchically grouped 2D local features applied to edge contour localisation

One of the most significant research topics in computer vision is object detection. Most of the reported object detection results localise the detected object within a bounding box, but do not explicitly label the edge contours of the object. Since object contours provide a fundamental diagnostic of object shape, some researchers have initiated work on linear contour feature representations for object detection and localisation. However, linear contour feature-based localisation is highly dependent on the performance of linear contour detection within natural images, and this can be perturbed significantly by a cluttered background. In addition, the conventional approach to achieving rotation-invariant features is to rotate the feature receptive field to align with the local dominant orientation before computing the feature representation. Grid resampling after rotation adds extra computational cost and increases the total time consumption for computing the feature descriptor. Though it is not an expensive process if using current computers, it is appreciated that if each step of the implementation is faster to compute especially when the number of local features is increasing and the application is implemented on resource limited ”smart devices”, such as mobile phones, in real-time. Motivated by the above issues, a 2D object localisation system is proposed in this thesis that matches features of edge contour points, which is an alternative method that takes advantage of the shape information for object localisation. This is inspired by edge contour points comprising the basic components of shape contours. In addition, edge point detection is usually simpler to achieve than linear edge contour detection. Therefore, the proposed localization system could avoid the need for linear contour detection and reduce the pathological disruption from the image background. Moreover, since natural images usually comprise many more edge contour points than interest points (i.e. corner points), we also propose new methods to generate rotation-invariant local feature descriptors without pre-rotating the feature receptive field to improve the computational efficiency of the whole system. In detail, the 2D object localisation system is achieved by matching edge contour points features in a constrained search area based on the initial pose-estimate produced by a prior object detection process. The local feature descriptor obtains rotation invariance by making use of rotational symmetry of the hexagonal structure. Therefore, a set of local feature descriptors is proposed based on the hierarchically hexagonal grouping structure. Ultimately, the 2D object localisation system achieves a very promising performance based on matching the proposed features of edge contour points with the mean correct labelling rate of the edge contour points 0.8654 and the mean false labelling rate 0.0314 applied on the data from Amsterdam Library of Object Images (ALOI). Furthermore, the proposed descriptors are evaluated by comparing to the state-of-the-art descriptors and achieve competitive performances in terms of pose estimate with around half-pixel pose error.

Input-state-output representations of concatenated 2D convolutional codes

In this paper we investigate a novel model of concatenation of a pair of two-dimensional (2D) convolutional codes. We consider finite-support 2D convolutional codes and choose the so-called Fornasini-Marchesini input-state-output (ISO) model to represent these codes. More concretely, we interconnect in series two ISO representations of two 2D convolutional codes and derive the ISO representation of the ob- tained 2D convolutional code. We provide necessary condition for this representation to be minimal. Moreover, structural properties of modal reachability and modal observability of the resulting 2D convolutional codes are investigated.

Programación de videojuegos de puzzles en 2D usando Unity: tutorial y ejemplo práctico del juego.

Unity3d es un motor gráfico para la implementación de videojuegos creado por Unity3d Technologies que tiene el honor de ser una de las principales herramientas que propició el auge de los estudios independientes. Pese a estar enfocado al desarrollo de videojuegos en 3D, los desarrolladores lograban crear contenido en 2D a base de manipulaciones como la cámara y de utilizar herramientas no nativas. Afortunadamente, a partir de la versión 4.3 Unity3d integra herramientas nativas que facilitan esta tarea. Este proyecto consiste en la creación de un tutorial sobre la implementación de un videojuego del género puzles en 2D y enfocado a plataformas móviles, empleando para ello Unity3d y concretamente las nuevas herramientas nativas para 2D. La implementación de un videojuego es una tarea muy complicada y extensa, es por ello que en el tutorial se va a tratar la fase de diseño del videojuego y a nivel de implementación centrarse en dichas herramientas para el 2D, mostrando al final una versión jugable del videojuego implementado. Por otra parte, al ser numerosas las herramientas, es imposible tratar cada una de las herramientas aunque se intentará abarcar lo máximo posible y mencionar las que no se incluyan dentro de la implementación del videojuego. El resultado generado de este proyecto puede constituir una referencia para otras personas interesadas en aprender cómo usar Unity3d para programar videojuegos en 2D, lo cual les allanará seguramente el camino y les suavizará la curva de aprendizaje.

Appraisal of open software for finite element simulation of 2D metal sheet laser cut.

FEA simulation of thermal metal cutting is central to interactive design and manufacturing. It is therefore relevant to assess the applicability of FEA open software to simulate 2D heat transfer in metal sheet laser cuts. Application of open source code (e.g. FreeFem++, FEniCS, MOOSE) makes possible additional scenarios (e.g. parallel, CUDA, etc.), with lower costs. However, a precise assessment is required on the scenarios in which open software can be a sound alternative to a commercial one. This article contributes in this regard, by presenting a comparison of the aforementioned freeware FEM software for the simulation of heat transfer in thin (i.e. 2D) sheets, subject to a gliding laser point source. We use the commercial ABAQUS software as the reference to compare such open software. A convective linear thin sheet heat transfer model, with and without material removal is used. This article does not intend a full design of computer experiments. Our partial assessment shows that the thin sheet approximation turns to be adequate in terms of the relative error for linear alumina sheets. Under mesh resolutions better than 10e−5 m , the open and reference software temperature differ in at most 1 % of the temperature prediction. Ongoing work includes adaptive re-meshing, nonlinearities, sheet stress analysis and Mach (also called ‘relativistic’) effects.

Adaptive coatings based on polyaniline for direct 2D observation of diffusion processes in microfluidic systems

[EN] Therefore the understanding and proper evaluation of the flow and mixing behaviour at microscale becomes a very important issue. In this study, the diffusion behaviour of two reacting solutions of HCI and NaOH were directly observed in a glass/polydimethylsiloxane microfluidic device using adaptive coatings based on the conductive polymer polyaniline that are covalently attached to the microchannel walls. The two liquid streams were combined at the junction of a Y-shaped microchannel, and allowed to diffuse into each other and react. The results showed excellent correlation between optical observation of the diffusion process and the numerical results. A numerical model which is based on finite volume method (FVM) discretisation of steady Navier-Stokes (fluid flow) equations and mass transport equations without reactions was used to calculate the flow variables at discrete points in the finite volume mesh element. The high correlation between theory and practical data indicates the potential of such coatings to monitor diffusion processes and mixing behaviour inside microfluidic channels in a dye free environment.

MANIPULATION OF IONS, ELECTRONS, AND PHOTONS IN 2D MATERIALS BY ION INTERCALATION

2D materials have attracted tremendous attention due to their unique physical and chemical properties since the discovery of graphene. Despite these intrinsic properties, various modification methods have been applied to 2D materials that yield even more exciting results. Among all modification methods, the intercalation of 2D materials provides the highest possible doping and/or phase change to the pristine 2D materials. This doping effect highly modifies 2D materials, with extraordinary electrical transport as well as optical, thermal, magnetic, and catalytic properties, which are advantageous for optoelectronics, superconductors, thermoelectronics, catalysis and energy storage applications. To study the property changes of 2D materials, we designed and built a planar nanobattery that allows electrochemical ion intercalation in 2D materials. More importantly, this planar nanobattery enables characterization of electrical, optical and structural properties of 2D materials in situ and real time upon ion intercalation. With this device, we successfully intercalated Li-ions into few layer graphene (FLG) and ultrathin graphite, heavily dopes the graphene to 0.6 x 10^15 /cm2, which simultaneously increased its conductivity and transmittance in the visible range. The intercalated LiC6 single crystallite achieved extraordinary optoelectronic properties, in which an eight-layered Li intercalated FLG achieved transmittance of 91.7% (at 550 nm) and sheet resistance of 3 ohm/sq. We extend the research to obtain scalable, printable graphene based transparent conductors with ion intercalation. Surfactant free, printed reduced graphene oxide transparent conductor thin film with Na-ion intercalation is obtained with transmittance of 79% and sheet resistance of 300 ohm/sq (at 550 nm). The figure of merit is calculated as the best pure rGO based transparent conductors. We further improved the tunability of the reduced graphene oxide film by using two layers of CNT films to sandwich it. The tunable range of rGO film is demonstrated from 0.9 um to 10 um in wavelength. Other ions such as K-ion is also studied of its intercalation chemistry and optical properties in graphitic materials. We also used the in situ characterization tools to understand the fundamental properties and improve the performance of battery electrode materials. We investigated the Na-ion interaction with rGO by in situ Transmission electron microscopy (TEM). For the first time, we observed reversible Na metal cluster (with diameter larger than 10 nm) deposition on rGO surface, which we evidenced with atom-resolved HRTEM image of Na metal and electron diffraction pattern. This discovery leads to a porous reduced graphene oxide sodium ion battery anode with record high reversible specific capacity around 450 mAh/g at 25mA/g, a high rate performance of 200 mAh/g at 250 mA/g, and stable cycling performance up to 750 cycles. In addition, direct observation of irreversible formation of Na2O on rGO unveils the origin of commonly observed low 1st Columbic Efficiency of rGO containing electrodes. Another example for in situ characterization for battery electrode is using the planar nanobattery for 2D MoS2 crystallite. Planar nanobattery allows the intrinsic electrical conductivity measurement with single crystalline 2D battery electrode upon ion intercalation and deintercalation process, which is lacking in conventional battery characterization techniques. We discovered that with a “rapid-charging” process at the first cycle, the lithiated MoS2 undergoes a drastic resistance decrease, which in a regular lithiation process, the resistance always increases after lithiation at its final stage. This discovery leads to a 2- fold increase in specific capacity with with rapid first lithiated MoS2 composite electrode material, compare with the regular first lithiated MoS2 composite electrode material, at current density of 250 mA/g.

Física : cinemática 2D

Recurso educativo de apoio à unidade curricular de física

Remoção de ruídos sísmicos utilizando transformada de wavelet 1D e 2D com software em desenvolvimento

In the Hydrocarbon exploration activities, the great enigma is the location of the deposits. Great efforts are undertaken in an attempt to better identify them, locate them and at the same time, enhance cost-effectiveness relationship of extraction of oil. Seismic methods are the most widely used because they are indirect, i.e., probing the subsurface layers without invading them. Seismogram is the representation of the Earth s interior and its structures through a conveniently disposed arrangement of the data obtained by seismic reflection. A major problem in this representation is the intensity and variety of present noise in the seismogram, as the surface bearing noise that contaminates the relevant signals, and may mask the desired information, brought by waves scattered in deeper regions of the geological layers. It was developed a tool to suppress these noises based on wavelet transform 1D and 2D. The Java language program makes the separation of seismic images considering the directions (horizontal, vertical, mixed or local) and bands of wavelengths that form these images, using the Daubechies Wavelets, Auto-resolution and Tensor Product of wavelet bases. Besides, it was developed the option in a single image, using the tensor product of two-dimensional wavelets or one-wavelet tensor product by identities. In the latter case, we have the wavelet decomposition in a two dimensional signal in a single direction. This decomposition has allowed to lengthen a certain direction the two-dimensional Wavelets, correcting the effects of scales by applying Auto-resolutions. In other words, it has been improved the treatment of a seismic image using 1D wavelet and 2D wavelet at different stages of Auto-resolution. It was also implemented improvements in the display of images associated with breakdowns in each Auto-resolution, facilitating the choices of images with the signals of interest for image reconstruction without noise. The program was tested with real data and the results were good

Software para la predicción de la propagación electromagnética en interiores en 2D

95 p.

Multivariate orthogonal polynomials and integrable systems

Multivariate orthogonal polynomials in D real dimensions are considered from the perspective of the Cholesky factorization of a moment matrix. The approach allows for the construction of corresponding multivariate orthogonal polynomials, associated second kind functions, Jacobi type matrices and associated three term relations and also Christoffel-Darboux formulae. The multivariate orthogonal polynomials, their second kind functions and the corresponding Christoffel-Darboux kernels are shown to be quasi-determinants as well as Schur complements of bordered truncations of the moment matrix; quasi-tau functions are introduced. It is proven that the second kind functions are multivariate Cauchy transforms of the multivariate orthogonal polynomials. Discrete and continuous deformations of the measure lead to Toda type integrable hierarchy, being the corresponding flows described through Lax and Zakharov-Shabat equations; bilinear equations are found. Varying size matrix nonlinear partial difference and differential equations of the 2D Toda lattice type are shown to be solved by matrix coefficients of the multivariate orthogonal polynomials. The discrete flows, which are shown to be connected with a Gauss-Borel factorization of the Jacobi type matrices and its quasi-determinants, lead to expressions for the multivariate orthogonal polynomials and their second kind functions in terms of shifted quasi-tau matrices, which generalize to the multidimensional realm, those that relate the Baker and adjoint Baker functions to ratios of Miwa shifted tau-functions in the 1D scenario. In this context, the multivariate extension of the elementary Darboux transformation is given in terms of quasi-determinants of matrices built up by the evaluation, at a poised set of nodes lying in an appropriate hyperplane in R^D, of the multivariate orthogonal polynomials. The multivariate Christoffel formula for the iteration of m elementary Darboux transformations is given as a quasi-determinant. It is shown, using congruences in the space of semi-infinite matrices, that the discrete and continuous flows are intimately connected and determine nonlinear partial difference-differential equations that involve only one site in the integrable lattice behaving as a Kadomstev-Petviashvili type system. Finally, a brief discussion of measures with a particular linear isometry invariance and some of its consequences for the corresponding multivariate polynomials is given. In particular, it is shown that the Toda times that preserve the invariance condition lay in a secant variety of the Veronese variety of the fixed point set of the linear isometry.

Análisis de anomalías gravimétricas y modelación cortical 2D de la región volcánica del Campo de Calatrava (Ciudad Real, España)

La región volcánica de Campo de Calatrava se ha interpretado como un proceso de volcanismo intraplaca desarrollado durante el Neógeno. Se han propuesto dos modelos geodinámicos contrapuestos para explicar el origen de este volcanismo: a) un proceso de rifting en un contexto extensional con un adelgazamiento localizado de corteza; b) un proceso flexural de la litosfera en un contexto compresivo débil sin adelgazamiento de corteza. El análisis de las anomalías gravimétricas de Bouguer y una modelización gravimétrica 2D a escala cortical contribuyen a discriminar entre los modelos geodinámicos propuestos para el origen del volcanismo. Los modelos gravimétricos se han constreñido en base a los estudios sísmicos profundos existentes en la zona y a la cartografía geológica regional. Los modelos gravimétricos descartan un adelgazamiento cortical, lo que cuestiona el modelo de rifting abortado y apoyan la hipótesis alternativa del proceso flexural de la litosfera en régimen compresivo débil como origen del volcanismo bético.

Study of Bone Biomineralization in 2D and 3D Cultures of a Human Osteosarcoma Cell Line As Osteoblast-like Model

This PhD project focuses on the study of the early stages of bone biomineralization in 2D and 3D cultures of osteoblast-like SaOS-2 osteosarcoma cells, exposed to an osteogenic cocktail. The efficacy of osteogenic treatment was assessed on 2D cell cultures after 7 days. A large calcium minerals production, an overexpression of osteogenic markers and of alkaline phosphatase activity occurred in treated samples. TEM microscopy and cryo-XANES micro-spectroscopy were performed for localizing and characterizing Ca-depositions. These techniques revealed a different localization and chemical composition of Ca-minerals over time and after treatment. Nevertheless, the Mito stress test showed in treated samples a significant increase in maximal respiration levels associated to an upregulation of mitochondrial biogenesis indicative of an ongoing differentiation process. The 3D cell cultures were realized using two different hydrogels: a commercial collagen type I and a mixture of agarose and lactose-modified chitosan (CTL). Both biomaterials showed good biocompatibility with SaOS-2 cells. The gene expression analysis of SaOS-2 cells on collagen scaffolds indicated an osteogenic commitment after treatment. and Alizarin red staining highlighted the presence of Ca-spots in the differentiated samples. In addition, the intracellular magnesium quantification, and the X-ray microscopy on mineral depositions, suggested the incorporation of Mg during the early stages of bone formation process., SaOS-2 cells treated with osteogenic cocktail produced Ca mineral deposits also on CTL/agarose scaffolds, as confirmed by alizarin red staining. Further studies are underway to evaluate the differentiation also at the genetic level. Thanks to the combination of conventional laboratory methods and synchrotron-based techniques, it has been demonstrated that SaOS-2 is a suitable model for the study of biomineralization in vitro. These results have contributed to a deeper knowledge of biomineralization process in osteosarcoma cells and could provide new evidences about a therapeutic strategy acting on the reversibility of tumorigenicity by osteogenic induction.

Evaluation of a 2D multileader training system for improving sustainability and precision orchard management applications in italian apple orchards

The presented study aimed to evaluate the productive and physiological behavior of a 2D multileader apple training systems in the Italian environment both investigating the possibility to increase yield and precision crop load management resolution. Another objective was to find valuable thinning thresholds guaranteeing high yields and matching fruit market requirements. The thesis consists in three studies carried out in a Pink Lady®- Rosy Glow apple orchard trained as a planar multileader training system (double guyot). Fruiting leaders (uprights) dimension, crop load, fruit quality, flower and physiological (leaf gas exchanges and fruit growth rate) data were collected and analysed. The obtained results found that uprights present dependence among each other and as well as a mutual support during fruit development. However, individual upright fruit load and upright’s fruit load distribution on the tree (~ plant crop load) seems to define both upright independence from the other, and single upright crop load effects on the final fruit quality production. Correlations between fruit load and harvest fruit size were found and thanks to that valuable thinning thresholds, based on different vegetative parameters, were obtained. Moreover, it comes out that an upright’s fruit load random distribution presents a widening of those thinning thresholds, keeping un-altered fruit quality. For this reason, uprights resulted a partially physiologically-dependent plant unit. Therefore, if considered and managed as independent, then no major problems on final fruit quality and production occurred. This partly confirmed the possibility to shift crop load management to single upright. The finding of the presented studies together with the benefits coming from multileader planar training systems suggest a high potentiality of the 2D multileader training systems to increase apple production sustainability and profitability for Italian apple orchard, while easing the advent of automation in fruit production.