Estimativa de expoentes críticos em Percolação

In Percolation Theory, functions like the probability that a given site belongs to the infinite cluster, average size of clusters, etc. are described through power laws and critical exponents. This dissertation uses a method called Finite Size Scaling to provide a estimative of those exponents. The dissertation is divided in four parts. The first one briefly presents the main results for Site Percolation Theory for d = 2 dimension. Besides, some important quantities for the determination of the critical exponents and for the phase transistions understanding are defined. The second shows an introduction to the fractal concept, dimension and classification. Concluded the base of our study, in the third part the Scale Theory is mentioned, wich relates critical exponents and the quantities described in Chapter 2. In the last part, through the Finite Size Scaling method, we determine the critical exponents fi and. Based on them, we used the previous Chapter scale relations in order to determine the remaining critical exponents

Um percurso sobre o patrimônio e a morfologia urbana do centro de Fortaleza-CE

The incursion into the historical area from Fortaleza´s downtown presents reminiscences of a heritage collection that can be recognized as city built heritage, in architectural and urban aspects. The neighborhood has in its urban tracing a synthesis of the various phases from the Brazilian architecture materialized in its tracing and built goods. This composition mainly covers the eclectic production, passing the time of art déco, including the period of modern production. This paper aims to identify the existing heritage collection. This study aims to identify the existing net assets, the temporality and spatiality that allow to recreate the neighborhood´s form urbain history. Based on the theoretical and methodological support of the urban morphology urban of authors such as Aldo Rossi (1966), Gordon Cullen (1971), José Lamas (1990), Kevin Lynch (1960), and Philippe Panerai (1999) was allowed on a predefined route, to build part of urban memory of Fortaleza. The historical and morphological study runs through a sequenced analysis developed on the articulated subsets, formed by the network neighborhood squares: Praça José de Alencar, Praça Capistrano de Abreu (Lagoinha), Praça Clóvis Beviláquia, Praça do Carmo, Praça Murilo Borges (BNB), Praça Coração de Jesus, Parque das Crianças, Praça do Riacho Pajeú, Praça dos Voluntários (Polícia), Praça do Ferreira, Praça Waldemar Falcão (Correios), Praça General Tibúrcio (Leões), Praça Figueira de Melo, Bosque Dom Delgado (Pajeú), Praça Cristo Redentor, Praça Caio Prado (Sé), Praça dos Mártires (Passeio Público), e Praça Castro Carreira (Estação). Separated the neighborhood based on this square system because it is perceived that there is in these public spaces a path which includes a portion of the urban history of Fortaleza. In addition to this there is a higher concentration of goods in its area in relation to others sectors of the neighborhood, where the loss of the characterization is an imperative of the urban set. In order to find this network of public spaces contained in the study area were proposed two routes based on the city limits of 1875 established by Adolfo Herbster (Fortaleza´s city plan).The path starts by known boulevards (Imperador, Duque de Caxias and Dom Manuel avenues) and the seafront. The study is grounded in the literature review, document and empirical theme, consisting of an overlay of maps, drawings and photographic collection that ratify this net assets as both architectural urban nowadays. Among the results, it was observed that before a current context of loss of locus of the concept of historical-cultural agglomerated, the squares express the strongholds of equity ambience that perhaps stand in urban morphology of the capital from Ceará.

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

O problema da matéria escura e o teorema do virial na teoria de gravidade Eddington-Born-Infeld

Dark matter is a fundamental ingredient of the modern Cosmology. It is necessary in order to explain the process of structures formation in the Universe, rotation curves of galaxies and the mass discrepancy in clusters of galaxies. However, although many efforts, in both aspects, theoretical and experimental, have been made, the nature of dark matter is still unknown and the only convincing evidence for its existence is gravitational. This rises doubts about its existence and, in turn, opens the possibility that the Einstein’s gravity needs to be modified at some scale. We study, in this work, the possibility that the Eddington-Born-Infeld (EBI) modified gravity provides en alternative explanation for the mass discrepancy in clusters of galaxies. For this purpose we derive the modified Einstein field equations and find their solutions to a spherical system of identical and collisionless point particles. Then, we took into account the collisionless relativistic Boltzmann equation and using some approximations and assumptions for weak gravitational field, we derived the generalized virial theorem in the framework of EBI gravity. In order to compare the predictions of EBI gravity with astrophysical observations we estimated the order of magnitude of the geometric mass, showing that it is compatible with present observations. Finally, considering a power law for the density of galaxies in the cluster, we derived expressions for the radial velocity dispersion of the galaxies, which can be used for testing some features of the EBI gravity.

Estudo da sinterabilidade de ligas de níquel obtidas por meio dos portadores de liga sic, si3n4 ou si metálico com grafita

Nickel alloys are frequently used in applications that require resistance at high temperatures associated with resistance to corrosion. Alloys of Ni-Si-C can be obtained by means of powder metallurgy in which powder mixtures are made of metallic nickel powders with additions of various alloying carriers for such were used in this study SiC, Si3N4 or Si metal with graphite. Carbonyl Ni powder with mean particle size of 11 mM were mixed with 3 wt% of SiC powders with an average particle size of 15, 30 and 50 μm and further samples were obtained containing 4 to 5% by mass of SiC with average particle size of 15 μm. Samples were also obtained by varying the carrier alloy, these being Si3N4 powder with graphite, with average particle size of 1.5 and 5 μm, respectively. As a metallic Si graphite with average particle size of 12.5 and 5 μm, respectively. The reference material used was nickel carbonyl sintered without adding carriers. Microstructural characterization of the alloys was made by optical microscopy and scanning electron microscopy with semi-quantitative chemical analysis. We determined the densities of the samples and measurement of microhardness. We studied the dissociation of carriers alloy after sintering at 1200 ° C for 60 minutes. Was evaluated also in the same sintering conditions, the influence of the variation of average particle size of the SiC carrier to the proportion of 3% by mass. Finally, we studied the influence of variation of the temperatures of sintering at 950, 1080 and 1200 ° C without landing and also with heights of 30, 60, 120 and 240 minutes for sintering where the temperature was 950 °C. Dilatometry curves showed that the SiC sintered Ni favors more effectively than other carriers alloy analyzed. SiC with average particle size of 15 μm active sintering the alloy more effectively than other SiC used. However, with the chemical and morphological analyzes for all leagues, it was observed that there was dissociation of SiC and Si3N4, as well as diffusion of Si in Ni matrix and carbon cluster and dispersed in the matrix, which also occurred for the alloys with Si carriers and metallic graphite. So the league that was presented better results containing Si Ni with graphite metallic alloy as carriers, since this had dispersed graphite best in the league, reaching the microstructural model proposed, which is necessary for material characteristic of solid lubricant, so how we got the best results when the density and hardness of the alloy