Fractais e Percolação na Recuperação de Petróleo

The complex behavior of a wide variety of phenomena that are of interest to physicists, chemists, and engineers has been quantitatively characterized by using the ideas of fractal and multifractal distributions, which correspond in a unique way to the geometrical shape and dynamical properties of the systems under study. In this thesis we present the Space of Fractals and the methods of Hausdorff-Besicovitch, box-counting and Scaling to calculate the fractal dimension of a set. In this Thesis we investigate also percolation phenomena in multifractal objects that are built in a simple way. The central object of our analysis is a multifractal object that we call Qmf . In these objects the multifractality comes directly from the geometric tiling. We identify some differences between percolation in the proposed multifractals and in a regular lattice. There are basically two sources of these differences. The first is related to the coordination number, c, which changes along the multifractal. The second comes from the way the weight of each cell in the multifractal affects the percolation cluster. We use many samples of finite size lattices and draw the histogram of percolating lattices against site occupation probability p. Depending on a parameter, ρ, characterizing the multifractal and the lattice size, L, the histogram can have two peaks. We observe that the probability of occupation at the percolation threshold, pc, for the multifractal is lower than that for the square lattice. We compute the fractal dimension of the percolating cluster and the critical exponent β. Despite the topological differences, we find that the percolation in a multifractal support is in the same universality class as standard percolation. The area and the number of neighbors of the blocks of Qmf show a non-trivial behavior. A general view of the object Qmf shows an anisotropy. The value of pc is a function of ρ which is related to its anisotropy. We investigate the relation between pc and the average number of neighbors of the blocks as well as the anisotropy of Qmf. In this Thesis we study likewise the distribution of shortest paths in percolation systems at the percolation threshold in two dimensions (2D). We study paths from one given point to multiple other points

Fases e criticalidade no modelo ashkin - teller de três cores

The usual Ashkin-Teller (AT) model is obtained as a superposition of two Ising models coupled through a four-spin interaction term. In two dimension the AT model displays a line of fixed points along which the exponents vary continuously. On this line the model becomes soluble via a mapping onto the Baxter model. Such richness of multicritical behavior led Grest and Widom to introduce the N-color Ashkin-Teller model (N-AT). Those authors made an extensive analysis of the model thus introduced both in the isotropic as well as in the anisotropic cases by several analytical and computational methods. In the present work we define a more general version of the 3-color Ashkin-Teller model by introducing a 6-spin interaction term. We investigate the corresponding symmetry structure presented by our model in conjunction with an analysis of possible phase diagrams obtained by real space renormalization group techniques. The phase diagram are obtained at finite temperature in the region where the ferromagnetic behavior is predominant. Through the use of the transmissivities concepts we obtain the recursion relations in some periodical as well as aperiodic hierarchical lattices. In a first analysis we initially consider the two-color Ashkin-Teller model in order to obtain some results with could be used as a guide to our main purpose. In the anisotropic case the model was previously studied on the Wheatstone bridge by Claudionor Bezerra in his Master Degree dissertation. By using more appropriated computational resources we obtained isomorphic critical surfaces described in Bezerra's work but not properly identified. Besides, we also analyzed the isotropic version in an aperiodic hierarchical lattice, and we showed how the geometric fluctuations are affected by such aperiodicity and its consequences in the corresponding critical behavior. Those analysis were carried out by the use of appropriated definitions of transmissivities. Finally, we considered the modified 3-AT model with a 6-spin couplings. With the inclusion of such term the model becomes more attractive from the symmetry point of view. For some hierarchical lattices we derived general recursion relations in the anisotropic version of the model (3-AAT), from which case we can obtain the corresponding equations for the isotropic version (3-IAT). The 3-IAT was studied extensively in the whole region where the ferromagnetic couplings are dominant. The fixed points and the respective critical exponents were determined. By analyzing the attraction basins of such fixed points we were able to find the three-parameter phase diagram (temperature £ 4-spin coupling £ 6-spin coupling). We could identify fixed points corresponding to the universality class of Ising and 4- and 8-state Potts model. We also obtained a fixed point which seems to be a sort of reminiscence of a 6-state Potts fixed point as well as a possible indication of the existence of a Baxter line. Some unstable fixed points which do not belong to any aforementioned q-state Potts universality class was also found

Fractais e percolação na recuperação de Petróleo

The complex behavior of a wide variety of phenomena that are of interest to physicists, chemists, and engineers has been quantitatively characterized by using the ideas of fractal and multifractal distributions, which correspond in a unique way to the geometrical shape and dynamical properties of the systems under study. In this thesis we present the Space of Fractals and the methods of Hausdorff-Besicovitch, box-counting and Scaling to calculate the fractal dimension of a set. In this Thesis we investigate also percolation phenomena in multifractal objects that are built in a simple way. The central object of our analysis is a multifractal object that we call Qmf . In these objects the multifractality comes directly from the geometric tiling. We identify some differences between percolation in the proposed multifractals and in a regular lattice. There are basically two sources of these differences. The first is related to the coordination number, c, which changes along the multifractal. The second comes from the way the weight of each cell in the multifractal affects the percolation cluster. We use many samples of finite size lattices and draw the histogram of percolating lattices against site occupation probability p. Depending on a parameter, ρ, characterizing the multifractal and the lattice size, L, the histogram can have two peaks. We observe that the probability of occupation at the percolation threshold, pc, for the multifractal is lower than that for the square lattice. We compute the fractal dimension of the percolating cluster and the critical exponent β. Despite the topological differences, we find that the percolation in a multifractal support is in the same universality class as standard percolation. The area and the number of neighbors of the blocks of Qmf show a non-trivial behavior. A general view of the object Qmf shows an anisotropy. The value of pc is a function of ρ which is related to its anisotropy. We investigate the relation between pc and the average number of neighbors of the blocks as well as the anisotropy of Qmf. In this Thesis we study likewise the distribution of shortest paths in percolation systems at the percolation threshold in two dimensions (2D). We study paths from one given point to multiple other points. In oil recovery terminology, the given single point can be mapped to an injection well (injector) and the multiple other points to production wells (producers). In the previously standard case of one injection well and one production well separated by Euclidean distance r, the distribution of shortest paths l, P(l|r), shows a power-law behavior with exponent gl = 2.14 in 2D. Here we analyze the situation of one injector and an array A of producers. Symmetric arrays of producers lead to one peak in the distribution P(l|A), the probability that the shortest path between the injector and any of the producers is l, while the asymmetric configurations lead to several peaks in the distribution. We analyze configurations in which the injector is outside and inside the set of producers. The peak in P(l|A) for the symmetric arrays decays faster than for the standard case. For very long paths all the studied arrays exhibit a power-law behavior with exponent g ∼= gl.

Modelo de ashkin-teller de três cores na rede ponte de wheatstone

In this work we study the phase transitions of the ferromagnetic three-color Ashkin-Teller Model in the hierarquical lattice generated by the Wheatstone bridge using real space renormalization group approach. With such technique we obtain the phase diagram and its critical points with respective critical exponents v. This model presents four phases: ferromagnetic, paramagnetic and two intermediates. Nine critical points were found, three of which are of Ising model type, three are of four states Potts model type, one is of eight states Potts model type and the last two which do not correspond to any Potts model with integer number of states. iv

Teoria semi-clássica para super rede magnética formada por materiais ferromagnético e antiferromagnético

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Fraturas e caminhos ótimos na rede de Barabasi-Albert

Following the study of Andrade et al. (2009) on regular square lattices, here we investigate the problem of optimal path cracks (OPC) in Complex Networks. In this problem we associate to each site a determined energy. The optimum path is defined as the one among all possible paths that crosses the system which has the minimum cost, namely the sum of the energies along the path. Once the optimum path is determined, at each step, one blocks its site with highest energy, and then a new optimal path is calculated. This procedure is repeated until there is a set of blocked sites forming a macroscopic fracture which connects the opposite sides of the system. The method is applied to a lattice of size L and the density of removed sites is computed. As observed in the work by Andrade et al. (2009), the fractured system studied here also presents different behaviors depending on the level of disorder, namely weak, moderated and strong disorder intensities. In the regime of weak and moderated disorder, while the density of removed sites in the system does not depend of the size L in the case of regular lattices, in the regime of high disorder the density becomes substantially dependent on L. We did the same type of study for Complex Networks. In this case, each new site is connected with m previous ones. As in the previous work, we observe that the density of removed sites presents a similar behavior. Moreover, a new result is obtained, i.e., we analyze the dependency of the disorder with the attachment parameter m

Propagação de danos para o modelo Ising em uma rede quadrada totalmente frustrada

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Prospecção de genes associados ao processo de floração em tomateiro.

Flowering is a process marked by switch of shoot apical meristem to floral meristem, and it involves a complex regulation by endogenous and environmental factors. Analyses of key flowering genes have been carried out primarily in Arabidopsis thaliana and have provided a foundation for understanding the underlying molecular genetic mechanisms controlling different aspects of floral development. Several homologous have been found in other species, but for crops species such as tomatoes this process is not well known. The aim of this work was to use the genetic natural variation associated to the flowering process and use molecular tools such as subtractive libraries and real time PCR in order to identify and analyze the expression from genes that may be associated to flowering in these two species: L. esculentum cv Micro-Tom and L. pimpinellifolium. Our results showed there were identified many genes related to vegetative and possibly to the flowering process. There were also identified many sequences that were unknown. We ve chosen three genes to analyze the expression by real time PCR. The histone H2A gene gave an expression higher in L. pimpinellifolium, due to this the expression of this gene may be associated to flowering in this specie. It was also analyzed the expression of an unknown gene that might be a key factor of the transition to flowering, also in L. pimpinellifolium. For the elongation factor 1-α expression, the expression results were not informative, so this gene may have a constitutive expression in vegetative and flowering state. The results observed allowed us to identify possible genes that may be related to the flowering process. For further results it will be necessary a better characterization of them.

Pecolação em uma rede multifractal

In this work we present the principal fractals, their caracteristics, properties abd their classification, comparing them to Euclidean Geometry Elements. We show the importance of the Fractal Geometry in the analysis of several elements of our society. We emphasize the importance of an appropriate definition of dimension to these objects, because the definition we presently know doesn t see a satisfactory one. As an instrument to obtain these dimentions we present the Method to count boxes, of Hausdorff- Besicovich and the Scale Method. We also study the Percolation Process in the square lattice, comparing it to percolation in the multifractal subject Qmf, where we observe som differences between these two process. We analize the histogram grafic of the percolating lattices versus the site occupation probability p, and other numerical simulations. And finaly, we show that we can estimate the fractal dimension of the percolation cluster and that the percolatin in a multifractal suport is in the same universality class as standard percolation. We observe that the area of the blocks of Qmf is variable, pc is a function of p which is related to the anisotropy of Qmf

Encoding mechanisms based on fast oscillations in the retina of the cat and their dependencies on anesthesia

Processing in the visual system starts in the retina. Its complex network of cells with different properties enables for parallel encoding and transmission of visual information to the lateral geniculate nucleus (LGN) and to the cortex. In the retina, it has been shown that responses are often accompanied by fast synchronous oscillations (30 - 90 Hz) in a stimulus-dependent manner. Studies in the frog, rabbit, cat and monkey, have shown strong oscillatory responses to large stimuli which probably encode global stimulus properties, such as size and continuity (Neuenschwander and Singer, 1996; Ishikane et al., 2005). Moreover, simultaneous recordings from different levels in the visual system have demonstrated that the oscillatory patterning of retinal ganglion cell responses are transmitted to the cortex via the LGN (Castelo-Branco et al., 1998). Overall these results suggest that feedforward synchronous oscillations contribute to visual encoding. In the present study on the LGN of the anesthetized cat, we further investigate the role of retinal oscillations in visual processing by applying complex stimuli, such as natural visual scenes, light spots of varying size and contrast, and flickering checkerboards. This is a necessary step for understanding encoding mechanisms in more naturalistic conditions, as currently most data on retinal oscillations have been limited to simple, flashed and stationary stimuli. Correlation analysis of spiking responses confirmed previous results showing that oscillatory responses in the retina (observed here from the LGN responses) largely depend on the size and stationarity of the stimulus. For natural scenes (gray-level and binary movies) oscillations appeared only for brief moments probably when receptive fields were dominated by large continuous, flat-contrast surfaces. Moreover, oscillatory responses to a circle stimulus could be broken with an annular mask indicating that synchronization arises from relatively local interactions among populations of activated cells in the retina. A surprising finding in this study was that retinal oscillations are highly dependent on halothane anesthesia levels. In the absence of halothane, oscillatory activity vanished independent of the characteristics of the stimuli. The same results were obtained for isoflurane, which has similar pharmacological properties. These new and unexpected findings question whether feedfoward oscillations in the early visual system are simply due to an imbalance between excitation and inhibition in the retinal networks generated by the halogenated anesthetics. Further studies in awake behaving animals are necessary to extend these conclusions

Atividades educativas na rede pública de ensino: efeitos sobre a higiene oral e o nível de informação em Saúde Bucal

The contents introduction concerning the individual health cares reveals important since the school education. In this direction, the present study objectified to know an effect of Oral Health education intervention in the oral hygiene and in the schools children information level, of 4º e 5º basic education years. The study was composed by two groups, chosen of random form: control group (n = 115) and experimental group (n = 132), with 247 public net school children in total sample. The experimental group participated of some educative activities in Oral Health, with biweekly frequency, during the 4 months period, given for a surgeon-dentistry. Both the groups were submitted to a clinical examination for a previous verification of the Plaque Index (PI) and of Loe Silness Gingival Index (GI). A questionnaire with closed questions on Oral Health was applied before and after to verify the school children rightness index. After the intervention, the final data, represented for the PI, GI and Rightness Index verification, has been collected for statistical analyses through the chi-square test to a 95 % of reliable level, using the SPSS 10,0 software. The PI and GI were categorized in high and low on the initials index basis medium; already the Rightness Index was categorized in inadequate (< 50%) and adequate (≥ 50%). It was verified that the PI (p = 0,014; IC 0.24-0.86) and the GI (p = 0,013; IC 0,28-0,84) presented differences statistically significant, after the education activities, when compared to with the control, favoring the experimental group. It was verified too the experimental group got greater rightness index, presenting difference highly significant (p<0,0001; IC 3,73-26,81). It was still observed that there was no association between the oral hygiene indicators and the school children information level. Ahead the results, it can been concluded that education activities related in the school routine were capable to give positives effects in the oral hygiene control and in the information level about Oral Health, however, not necessarily, the individual with bigger information is that one who has practiced an oral hygiene more adjusted. One become necessary, however, that the education in Oral Health occurs of permanent and integrated form with others school actors, for the positive effect does not lose the student s life longterm

Centros de especialidades odontológicas: avaliação da atenção de média complexidade na rede pública da Grande Natal

The Specialized Dental Care Centers (CEO) were developed to provide specialized dental care to the population, given the accumulated needs of health since the past. They must operate as units of reference for the Oral Health Team of the Primary Care, complementing the dental procedures performed at this level of attention. This study aims to assess the performance of CEOs of the Grande Natal Health Region as a strategy of Secondary Care consolidation in oral health through users, dentists and managers. For this to try to identify factors about access, hosting and satisfaction with the service, the actions developed in these centers, integration between the CEOs and the Basic Health Units (UBS), considering the reference and counter reference. Data were collected through semi-structured interview, conducted in four CEOs, among 253 users, 31 dentists and 4 managers. It was submitted to descriptive statistical analysis and to content analysis by software ALCESTE 4.5. The results revealed that the specialties of prosthesis, endodontics and surgery were the most sought by 38.2%, 23.7% and 21.7% of respondents, respectively. It was noticed that among users aged 18 to 30 years-old the greatest demand is for the specialty of endodontics (44.4%) and over 50 years for prosthesis (76.4%). There is a weakness in the reference and counter reference between UBS and CEO, because part of users goes directly to the centers without going before to the Primary Care and the majority does not want to return to the dentist of Health Unit. Satisfaction with care was reported by 90.9% of users, because they resolved the problems needed and were welcomed by the team. But the delay in care was the main factor for not satisfaction. For most dentists, some users could solve their problems completely in Primary Care, which shows the existence of unnecessary referrals to the CEOs, however they consider the existence of limiting factors in UBS that compromise the service. Most dentists revealed that some users do not get to CEOs with the basic dental treatment done, and some of them do not counter reference users. It can be concluded that the studied CEOs are being resolutive for those who access them, offering necessary care for the population, and if they don t account with this service, will encounter obstacles to resolution of problems, ranging seek care service in particular, in another public sector, or even giving up treatment. However, it is perceived the need of professionals training to understand the importance of the reference and counter reference, to that they can better serve and guide users. It is also important that cities offer better conditions to UBS and CEOs, so they can work together, with complementary actions of oral health, seeking full care, aiming for better resolution to the users' health problems

Resolvendo problemas de fluxo de potência ótimo DC através de uma rede de hopfield modificada

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Avaliação de métodos de análises para determinação da contagem de células somáticas no leite cru, mantido em tanque de resfriamento

We analyzed the quality of raw milk from eight dairy farms in Rio Grande do Norte stored in a cooling tank , in order to evaluate methods for determining somatic cell counts (SCC). The Somaticell® kit and a portable Direct Cell Counter (DCC) were compared with each other and with the MilkoScanTM FT+ (FOSS Denmark), which uses Fourier Transform Infrared (FTIR) spectroscopy). Direct cell counter data were processed for somatic cell scores (log-transformed somatic cell count) and analyzed with the SAS®, statistical package , Statistical Analysis System, (SAS, INSTITUTE, 1998). Comparison of means and correlation of somatic cell scores were conducted using Pearson s correlation coefficient and the Tukey Test at 1 %. No significant difference was observed for comparison of means. The correlation between somatic cell scores was significant, that is, 0.907 and 0.876 between the MilkoScanTM FT+ and the Somaticell® kit and Direct Cell Count (DCC) respectively, and 0.943 between the Somaticell® kit and Direct Cell Count (DCC). The methods can be recommended for monitoring the quality of raw milk kept in a cooling tank in the production unit

A cooperação em crianças de rede pública de Natal/RN:uma abordagem evolucionista

Cooperation is a well known behavior and influenced by all cultures. Probably selective pressures brought advantages to individuals that cooperate, and then this behavior is current in human societies. Most of it is studied about cooperation and natural selection was understood by the game theory, a mathematical approach that helps to understand the conflict and cooperation. We believe that natural selection and game theory could facilitate understanding these behaviors and two theoretical articles were written regarding this view. It was also found that most of data about cooperation was obtained in (with) adults. Since game theory is effective to understand this phenomenon, and to be used and understood, two games were used with five and eleven year old children: the common pool and public goods games. The results are presented in four empirical articles. We found that children respond to social dilemmas of game theory like the adults do. They adjust their rounds regarding the feedback obtained of their partness; in the beginning they cooperate and reduce the degree of cooperation along (throughout) the following session; in the absence of punition the level of opportunism increased, mainly in larger groups; boys and girls behave differently when donate. This research suggest that cooperation has an evolutionary basis in human and it is since earlier in the behavioral pattern shown by adults.