Transformations of harmonic bundles and Willmore surfaces

Willmore surfaces are the extremals of the Willmore functional (possibly under a constraint on the conformal structure). With the characterization of Willmore surfaces by the (possibly perturbed) harmonicity of the mean curvature sphere congruence [Blaschke, Ejiri, Rigoli, Burstall-Calderbank], a zero-curvature formulation follows [Burstall-Calderbank]. Deformations on the level of harmonic maps prove to give rise to deformations on the level of surfaces, with the definition of a spectral deformation [Burstall-Pedit-Pinkall, Burstall-Calderbank] and of a Baecklund transformation [Burstall-Quintino] of Willmore surfaces into new ones, with a Bianchi permutability between the two [Burstall-Quintino]. This text is dedicated to a self-contained account of the topic, from a conformally-invariant viewpoint, in Darboux's light-cone model of the conformal $n$-sphere.Comment: v2: some extra detail added, 35 page

Macrobenthic community characterisation of an estuary from the western coast of Portugal (Sado estuary) prior to dredging operations

The present work is part of an environmental assessment undertaken in the Sado estuary (Southern Channel and Mitrena Peninsula), western coast of Portugal, on February 1999 prior to maintenance dredging works. The macrofauna communities in the study area are generally rich and abundant. A single exception was found: a sampling site in the Mitrena area, with extreme impoverishment, probably related to sediment characteristics, i.e., fluid mud, unfavourable to the establishment of individuals. A comparative analysis of these macrofauna results to previous data from 1986 showed that this biological component had suffered no significant changes, especially as far as the most characteristic species. Although the Southern Channel had been dredged in 1995, no clear signs of such operation were apparent in the present survey. The main differences between both periods (1986-1999) was an increase in the abundance and presence of some common species of organic enriched areas, such as Tharyx sp., Corbula gibba, Spiochaetopterus costarum and Ampelisca spp., which might be related to organic enrichment in the Southern Channel. The joint consideration of our results on benthic macrofauna and those regarding sediment contamination and sediment bioassays, performed at the same time by other researchers, does not indicate the necessity of any particular constraints on the dredging operations.El presente trabajo forma parte de un estudio de impacto ambiental que fue llevado a cabo en el estuario del río Sado (canal sur y península de Mitrena), costa oeste de Portugal, en febrero de 1999, previa a la realización de operaciones de dragados. Los resultados de las comunidades macrobentónicas obtenidos muestran que, en general, el área estudiada es rica en especies y abundante en individuos excepto una estación de la zona del Mitrena, cuya pobreza biológica puede estar asociada con las características del sedimento, fango fluido, que no posibilita el establecimiento de los individuos. La comparación entre los datos biológicos recolectados en 1986 y 1999 ha revelado la semejanza entre las comunidades de macrofauna bentónica de los dos periodos, especialmente en relación con las especies características, y que el canal sur (dragado en 1995) no presenta señales del efecto de dragado. Las principales diferencias entre los dos periodos son un incremento en la abundancia y presencia de determinadas especies asociadas con áreas orgánicamente enriquecidas, como Tharyx sp., Corbula gibba (prácticamente ausentes del canal sur en 1986), Spiochaetopterus costarum y Ampelisca spp., que pueden estar relacionados con el incremento de la materia orgánica en el área estudiada. El conjunto de la información obtenida en el presente trabajo (comunidades macrobentónicas) y en otros estudios -contaminación de zona y bioensayos- hechos al mismo tiempo por otros investigadores, no evidencian inconveniente para el dragado del área seleccionada.Instituto Español de Oceanografí

The mathematical structure of newtonian spacetime - classical dynamics and gravitation

We give a precise and modern mathematical characterization of the Newtonian spacetime structure (N). Our formulation clarifies the concepts of absolute space, Newton's relative spaces, and absolute time. The concept of reference frames (which are ''timelike'' vector fields on N) plays a fundamental role in ouir approach, and the classification of all possible reference frames on N is investigated in detail. We succeed in identifying a Lorentzian structure on N and we study the classical electrodynamics of Maxwell and Lorentz relative to this structure, obtaining the important result that there exists only one intrinsic generalization of the Lorentz force law which is compatible with Maxwell equations. This is at variance with other proposed intrinsic generalization of the Lorentz force law appearing ill the literature. We present also a formulation of Newtonian gravitational theory as a curve spacetime theory and discuss its meaning.We give a precise and modern mathematical characterization of the Newtonian spacetime structure (N). Our formulation clarifies the concepts of absolute space, Newton's relative spaces, and absolute time. The concept of reference frames (which are ''timeli256871924FAPESP - FUNDAÇÃO DE AMPARO À PESQUISA DO ESTADO DE SÃO PAULOCNPQ - CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICOSEM INFORMAÇÃOSEM INFORMAÇÃ

Higher-order Process Matrix Tomography of a passively-stable Quantum SWITCH

The field of indefinite causal order (ICO) has seen a recent surge in interest. Much of this research has focused on the quantum SWITCH, wherein multiple parties act in a superposition of different orders in a manner transcending the quantum circuit model. This results in a new resource for quantum protocols, and is exciting for its relation to issues in foundational physics. The quantum SWITCH is also an example of a higher-order quantum operation, in that it not only transforms quantum states, but also other quantum operations. To date, no higher-order quantum operation has been completely experimentally characterized. Indeed, past work on the quantum SWITCH has confirmed its ICO by measuring causal witnesses or demonstrating resource advantages, but the complete process matrix has only been described theoretically. Here, we perform higher-order quantum process tomography. However, doing so requires exponentially many measurements with a scaling worse than standard process tomography. We overcome this challenge by creating a new passively-stable fiber-based quantum SWITCH using active optical elements to deterministically generate and manipulate time-bin encoded qubits. Moreover, our new architecture for the quantum SWITCH can be readily scaled to multiple parties. By reconstructing the process matrix, we estimate its fidelity and tailor different causal witnesses directly for our experiment. To achieve this, we measure a set of tomographically complete settings, that also spans the input operation space. Our tomography protocol allows for the characterization and debugging of higher-order quantum operations with and without an ICO, while our experimental time-bin techniques could enable the creation of a new realm of higher-order quantum operations with an ICO.Comment: 20 pages (12 pages, 4 pages appendix + reference list and introduction), 8 figures; v2 with updated funding informatio

Dimensionless Correlations for Natural Convection Heat Transfer from a Pair of Vertical Staggered Plates Suspended in Free Air

Buoyancy-induced convection from a pair of staggered heated vertical plates suspended in free air is studied numerically with the main scope to investigate the basic heat and momentum transfer features and to determine in what measure any independent variable affects the thermal performance of each plate and both plates. A computational code based on the SIMPLE-C algorithm for pressure-velocity coupling is used to solve the system of the governing conservation equations of mass, momentum and energy. Numerical simulations are carried out for different values of the Rayleigh number based on the plate length, as well as of the horizontal separation distance between the plates and their vertical alignment, which are both normalized by the plate length. It is observed that an optimal separation distance between the plates for the maximum heat transfer rate related to the Rayleigh number and the vertical alignment of the plates does exist. Based on the results obtained, suitable dimensionless heat transfer correlations are developed for each plate and for the entire system

Índices de crescimento e componentes da produção do milho e soja em sistemas agrossilvipastoris.

Orientador: Prof. Dr. JOADIL GONÇALVES DE ABREU; Co-orientador: Dr. ROBERTO GIOLO DE ALMEID

Predicting sars-cov-2 weather-induced seasonal virulence from atmospheric air enthalpy

Following the coronavirus disease 2019 (COVID-19) pandemic, several studies have examined the possibility of correlating the virulence of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), the virus that causes COVID-19, to the climatic conditions of the involved sites; however, inconclusive results have been generally obtained. Although neither air temperature nor humidity can be independently correlated with virus viability, a strong relationship between SARS-CoV-2 virulence and the specific enthalpy of moist air appears to exist, as confirmed by extensive data analysis. Given this framework, the present study involves a detailed investigation based on the first 20-30 days of the epidemic before public health interventions in 30 selected Italian provinces with rather different climates, here assumed as being representative of what happened in the country from North to South, of the relationship between COVID-19 distributions and the climatic conditions recorded at each site before the pandemic outbreak. Accordingly, a correlating equation between the incidence rate at the early stage of the epidemic and the foregoing average specific enthalpy of atmospheric air was developed, and an enthalpy-based seasonal virulence risk scale was proposed to predict the potential danger of COVID-19 outbreak due to the persistence of weather conditions favorable to SARS-CoV-2 viability. As an early detection tool, an unambiguous risk chart expressed in terms of coupled temperatures and relative humidity (RH) values was provided, showing that safer conditions occur in the case of higher RHs at the highest temperatures, and of lower RHs at the lowest temperatures. Despite the complex determinism and dynamics of the pandemic and the related caveats, the restriction of the study to its early stage allowed the proposed risk scale to result in agreement with the available infectivity data highlighted in the literature for a number of cities around the world

Efeito dos modos de transferência e da composição de gás de protecção na emissão de partículas ultrafinas na soldadura MAG de aços

The present study aims to characterize ultrafine particles emitted during gas metal arc welding of mild steel and stainless steel, using different shielding gas mixtures, and to evaluate the effect of metal transfer modes, controlled by both processing parameters and shielding gas composition, on the quantity and morphology of the ultrafine particles. It was found that the amount of emitted ultrafine particles (measured by particle number and alveolar deposited surface area) are clearly dependent from the main welding parameters, namely the current intensity and the heat input of the Welding process. The emission of airborne ultrafine particles increases with the current intensity as fume formation rate does. When comparing the shielding gas mixtures, higher emissions were observed for more oxidizing mixtures, that is, with higher CO2 content, which means that these mixtures originate higher concentrations of ultrafine particles (as measured by number of particles. by cubic centimeter of air) and higher values of alveolar deposited surface area of particles, thus resulting in a more hazardous condition regarding welders exposure

Agro-waste as source of fine and industrial chemicals: synthesis of 2-formyl-6 hydroxybenzoic acid and 4-methoxyisobenzofuran-1,3-dione from cashew nut shell liquid

This paper reports on the synthesis of 2-formyl-6-hydroxybenzoic acid (8) and 4 methoxyisobenzofuran-1,3-dione (10) from a renewable natural material Cashew Nut Shell Liquid (CNSL) achieved in five and seven steps, respectively. Anacardic acid was isolated from CNSL, dimethoxylated into (E)-methyl 2-methoxy-6-(pentadec-8-enyl)benzoate which was subsequently hydrogenated into methyl 2-methoxy-6-pentadecylbenzoate. Benzylic bromination of the methoxyester, and dehydrobromination afforded (E)-methyl 2-methoxy-6-(pentadec-1-enyl)benzoate which upon ozonolysis gave methyl 2-formyl-6-methoxybenzoate. Oxidation and dehydration of 8 formed methoxyphthalic anhydride (10). The work reported in this paper has further demonstrated the resourcefulness of cashew nut shell liquid as a renewable natural resource for synthesis of fine and industrial chemicals.Keywords: Anacardium occidentale, Cashew Nut Shell Liquid, Anacardic acid, 2 formyl-6-methoxybenzoate, methoxyphthalic anhydrid