Hybrid Monte Carlo algorithm for the double exchange model

The Hybrid Monte Carlo algorithm is adapted to the simulation of a system of classical degrees of freedom coupled to non self-interacting lattices fermions. The diagonalization of the Hamiltonian matrix is avoided by introducing a path-integral formulation of the problem, in d + 1 Euclidean space–time. A perfect action formulation allows to work on the continuum Euclidean time, without need for a Trotter–Suzuki extrapolation. To demonstrate the feasibility of the method we study the Double Exchange Model in three dimensions. The complexity of the algorithm grows only as the system volume, allowing to simulate in lattices as large as 163 on a personal computer. We conclude that the second order paramagnetic–ferromagnetic phase transition of Double Exchange Materials close to half-filling belongs to the Universality Class of the three-dimensional classical Heisenberg model.

Black hole scattering from Worldline Quantum Field Theory and the Classical Double Copy of Spinning particles

This PhD thesis focuses on studying the classical scattering of massive/massless particles toward black holes, and investigating double copy relations between classical observables in gauge theories and gravity. This is done in the Post-Minkowskian approximation i.e. a perturbative expansion of observables controlled by the gravitational coupling constant κ = 32πGN, with GN being the Newtonian coupling constant. The investigation is performed by using the Worldline Quantum Field Theory (WQFT), displaying a worldline path integral describing the scattering objects and a QFT path integral in the Born approximation, describing the intermediate bosons exchanged in the scattering event by the massive/massless particles. We introduce the WQFT, by deriving a relation between the Kosower- Maybee-O’Connell (KMOC) limit of amplitudes and worldline path integrals, then, we use that to study the classical Compton amplitude and higher point amplitudes. We also present a nice application of our formulation to the case of Hard Thermal Loops (HTL), by explicitly evaluating hard thermal currents in gauge theory and gravity. Next we move to the investigation of the classical double copy (CDC), which is a powerful tool to generate integrands for classical observables related to the binary inspiralling problem in General Relativity. In order to use a Bern-Carrasco-Johansson (BCJ) like prescription, straight at the classical level, one has to identify a double copy (DC) kernel, encoding the locality structure of the classical amplitude. Such kernel is evaluated by using a theory where scalar particles interacts through bi-adjoint scalars. We show here how to push forward the classical double copy so to account for spinning particles, in the framework of the WQFT. Here the quantization procedure on the worldline allows us to fully reconstruct the quantum theory on the gravitational side. Next we investigate how to describe the scattering of massless particles off black holes in the WQFT.

Gli integrali di cammino

Normalmente la meccanica quantistica non relativistica è ricavata a partire dal fatto che una particella al tempo t non può essere descritta da una posizione $x$ definita, ma piuttosto è descritta da una funzione, chiamata funzione d'onda, per cui vale l'equazione differenziale di Schr\"odinger, e il cui modulo quadro in $x$ viene interpretato come la probabilità di rilevare la particella in tale posizione. Quindi grazie all'equazione di Schr\"odinger si studia la dinamica della funzione d'onda, la sua evoluzione temporale. Seguendo quest'approccio bisogna quindi abbandonare il concetto classico di traiettoria di una particella, piuttosto quello che si studia è la "traiettoria" della funzione d'onda nei vari casi di campi di forze che agiscono sulla particella. In questa tesi si è invece scelto di studiare un approccio diverso, ma anch'esso efficace nel descrivere i fenomeni della meccanica quantistica non relativistica, formulato per la prima volta negli anni '50 del secolo scorso dal dott. Richard P. Feynman. Tale approccio consiste nel considerare una particella rilevata in posizione $x_a$ nell'istante $t_a$, e studiarne la probabilità che questa ha, nelle varie configurazioni dei campi di forze in azione, di giungere alla posizione $x_b$ ad un successivo istante $t_b$. Per farlo si associa ad ogni percorso che congiunge questi due punti spazio-temporali $a$ e $b$ una quantità chiamata ampiezza di probabilità del percorso, e si sviluppa una tecnica che permette di sommare le ampiezze relative a tutti gli infiniti cammini possibili che portano da $a$ a $b$, ovvero si integra su tutte le traiettorie $x(t)$, questo tipo di integrale viene chiamato integrale di cammino o più comunemente path integral. Il modulo quadro di tale quantità darà la probabilità che la particella rilevata in $a$ verrà poi rilevata in $b$.

A survey on coverage path planning for robotics

Coverage Path Planning (CPP) is the task of determining a path that passes over all points of an area or volume of interest while avoiding obstacles. This task is integral to many robotic applications, such as vacuum cleaning robots, painter robots, autonomous underwater vehicles creating image mosaics, demining robots, lawn mowers, automated harvesters, window cleaners and inspection of complex structures, just to name a few. A considerable body of research has addressed the CPP problem. However, no updated surveys on CPP reflecting recent advances in the field have been presented in the past ten years. In this paper, we present a review of the most successful CPP methods, focusing on the achievements made in the past decade. Furthermore, we discuss reported field applications of the described CPP methods. This work aims to become a starting point for researchers who are initiating their endeavors in CPP. Likewise, this work aims to present a comprehensive review of the recent breakthroughs in the field, providing links to the most interesting and successful works

Prof. J.O. Monteiro de Camargo e o ensino de cálculo diferencial e integral e de análise na Universidade de São Paulo

Pós-graduação em Educação Matemática - IGCE

Uma experiência baseada no Apoio Matricial em Saúde Mental: estratégia para um atendimento integral

Pós-graduação em Psicologia - FCLAS

Caminhos para a proteção integral da criança e do adolescente: o caso de Franca

Pós-graduação em Serviço Social - FCHS

Seminar 1 impurity in the tomonaga-luttinger model:a functional integral approach

This chapter explains a functional integral approach about impurity in the Tomonaga–Luttinger model. The Tomonaga–Luttinger model of one-dimensional (1D) strongly correlates electrons gives a striking example of non-Fermi-liquid behavior. For simplicity, the chapter considers only a single-mode Tomonaga–Luttinger model, with one species of right- and left-moving electrons, thus, omitting spin indices and considering eventually the simplest linearized model of a single-valley parabolic electron band. The standard operator bosonization is one of the most elegant methods developed in theoretical physics. The main advantage of the bosonization, either in standard or functional form, is that including the quadric electron–electron interaction does not substantially change the free action. The chapter demonstrates the way to develop the formalism of bosonization based on the functional integral representation of observable quantities within the Keldysh formalism.

Linking heritage: Yenya Punhi Festival a path to reinforce identity. The Katmandu experience

In today’s world heritage worldwide are at the risk not only because of natural process of decay and destruction but also by social change like urbanization, globalization and homogenization of cultures. With these emerging problems, the heritage conservation discourse also has reached to a new dimension including broader range of concepts like tangible heritage, intangible heritage, community participation, indigenous knowledge and many more. Even with the changing scenario in the international context about the heritage conservation, Nepal’s heritage conservation still focus on monuments, sites and buildings. In add to that the conservation practices are still top-down approach and community involvements are limited only in plans. While numerous intangible heritages like masking dances chariot processions, festivals and rituals, which form an integral part of the daily social life of people are still being continued and managed by the community and its people, without with out serious attention form the government. In Kathmandu Valley these heritages has been maintained with the traditional social association of people known as “Guthi” which has been continuing since 5th Century. Most of the tangible and intangible heritages have survived for centuries because of this unique association of people. Among the numerous festivals of the Kathmandu Valley, the festival Yenya Punhi was chosen as a case for this study, which is also a major festival of Kathmandu. This festival is the perfect example for the study as its celebrated in the city that is the most urbanized city of Nepal with the challenges of the every modern city like social changes and urbanization. Despite modern challenges Guthi still plays a major role in the heritage conservation in Kathmandu Valley. Now there are some interventions of the various formal institutions. So this study will be focusing on the management, continuity and problems of the festival along with Nepal’s position in terms of intangible heritage conservation. The problem of Kathmandu and Yenya Punhi festival is the problem of every country in the similar situation so with this case study it can be a good example for finding solutions of the similar problem not only the other festivals within Nepal but also elsewhere in the world; Resumo: Conexão de Património: Festival Yenya Punhi um caminho de fortalecimento de identidade: A experiência de Catmandu Nos dias de hoje, os patrimónios mundiais encontram-se em risco, não só devido ao processo natural de degradação e destruição, mas também pelas mudanças sociais, tais como a urbanização, globalização e homogeneização de culturas. Com o emergir destes problemas, o discurso de conservação de Património atingiu também uma nova dimensão, incluíndo uma área mais abrangente de conceitos, como por exemplo, património material, património imaterial, participação da comunidade, conhecimento indígena, entre outros. Mesmo com este cenário de mudança no contexto mundial de conservação do património, a preservação do património do Nepal continua a focar-se em monumentos, sítios e edíficios. A acrescentar a isso, as práticas de conservação ainda têm uma abordagem descendente e os envolvimentos da comunidade são limitados por planificações. Enquanto que os numerosos patrimónios imateriais como danças com máscaras, procissões, festivais e rituais, os quais formam uma parte integral da vida diária social das pessoas que as continuam e as gerem em comunidade, sem uma atenção séria por parte do governo. No Vale de Catmandu, este património tem sido mantido pela associação tradicional de pessoas conhecidas como ''Guthi'' desde o século V. A maior parte destes patrimónios materiais e imateriais tem sobrevivido durante séculos graças a esta associação única de pessoas. Entre os numerosos festivais do Vale de Catmandu, o festival Yenya Puhni foi escolhido para este estudo, pois é também um grande festival em Catmandu. Este festival é o exemplo perfeito para este estudo, pois é celebrado na cidade mais urbanizada do Nepal, com os desafios das cidades modernas tais como mudanças sociais e urbanização. Apesar dos desafios da modernização, os ''Guthi'' ainda desempenham um papel importante na preservação do património do Vale de Catmandu. Agora, existem algumas intervenções de várias instituições formais Então, este estudo irá focar-se na gestão, continuidade e problemas do festival, juntamente com a posição do Nepal em termos de conservação de património imaterial. O problema de Catmandu e do festival Yenya Punhi é o problema de todos os países em situação semelhante então, este estudo pode ser um bom exemplo para encontrar soluções de problemas parecidos, não só em outros festivais no Nepal mas também para qualquer parte do mundo.

Production and body composition traits of broilers in relation to breast weight evaluated by path analysis

Breast weight has great economic importance in poultry industry, and may be associated with other variables. This work aimed to estimate phenotypic correlations between performance (live body weight at 7 and 28 days, and at slaughter, and depth of the breast muscle measured by ultrasonography), carcass (eviscerated body weight and leg weight) and body composition (heart, liver and abdominal fat weight) traits in a broiler line, and quantify the direct and indirect influence of these traits on breast weight. Path analysis was used by expanding the matrix of partial correlation in coefficients which give the direct influence of one trait on another, regardless the effect of the other traits. The simultaneous maintenance of live body weight at slaughter and eviscerated body weight in the matrix of correlations might be harmful for statistical analysis involving systems of normal equations, like path analysis, due to the observed multicollinearity. The live body weight at slaughter and the depth of the breast muscle as measured by ultrasonography directly affected breast weight and were identified as the most responsible factors for the magnitude of the correlation coefficients obtained between the studied traits and breast weight. Individual pre-selection for these traits could favor an increased breast weight in the future reproducer candidates of this line if the broilers' environmental conditions and housing are maintained, since the live body weight at slaughter and the depth of breast muscle measured by ultrasonography were directly related to breast weight.

Azimuthal Anisotropy of pi(0) Production in Au plus Au Collisions at root s(NN)=200 GeV: Path-Length Dependence of Jet Quenching and the Role of Initial Geometry

We have measured the azimuthal anisotropy of pi(0) production for 1 < p(T) < 18 GeV/c for Au + Au collisions at root s(NN) = 200 GeV. The observed anisotropy shows a gradual decrease for 3 less than or similar to p(T) less than or similar to 7-10 GeV/c, but remains positive beyond 10 GeV/c. The magnitude of this anisotropy is underpredicted, up to at least similar to 10 GeV/c, by current perturbative QCD (PQCD) energy-loss model calculations. An estimate of the increase in anisotropy expected from initial-geometry modification due to gluon saturation effects and fluctuations is insufficient to account for this discrepancy. Calculations that implement a path-length dependence steeper than what is implied by current PQCD energy-loss models show reasonable agreement with the data.

Superconducting current path and flux line shape in NbTiTa obtained by inter-diffusion process

This investigation presents a comprehensive characterization of magnetic and transport properties of an interesting superconducting wire, Nb-Ti -Ta, obtained through the solid-state diffusion between Nb-12 at.% Ta alloy and pure Ti. The physical properties obtained from magnetic and transport measurements related to the microstructure unambiguously confirmed a previous proposition that the superconducting currents flow in the center of the diffusion layer, which has a steep composition variation. The determination of the critical field also confirmed that the flux line core size is not constant, and in addition it was possible to determine that, in the center of the layer, the flux line core is smaller than at the borders. A possible core shape design is proposed. Among the wires studied, the one that presented the best critical current density was achieved for a diffusion layer with a composition of about Nb-32% Ti-10% Ta, obtained with a heat treatment at 700 degrees C during 120 h, in agreement with previous studies. It was determined that this wire has the higher upper critical field, indicating that the optimization of the superconducting behavior is related to an intrinsic property of the ternary alloy.

Dual boundary element formulation applied to analysis of multi-fractured domains

This paper deals with analysis of multiple random crack propagation in two-dimensional domains using the boundary element method (BEM). BEM is known to be a robust and accurate numerical technique for analysing this type of problem. The formulation adopted in this work is based on the dual BEM, for which singular and hyper-singular integral equations are used. We propose an iterative scheme to predict the crack growth path and the crack length increment at each time step. The proposed scheme able us to simulate localisation and coalescence phenomena, which is the main contribution of this paper. Considering the fracture mechanics analysis, the displacement correlation technique is applied to evaluate the stress intensity factors. The propagation angle and the equivalent stress intensity factor are calculated using the theory of maximum circumferential stress. Examples of simple and multi-fractured domains, loaded up to the rupture, are considered to illustrate the applicability of the proposed scheme. (C) 2010 Elsevier Ltd. All rights reserved.