Reações fotoinduzidas em alguns complexos de rênio e desenvolvimento de dispositivos moleculares

Neste trabalho foi realizado o estudo do comportamento fotoquímico e fotofísico de complexos mononucleares de rênio do tipo fac-[Re(CO)3(N N)(L)]+(N N = 1,10-fenantrolina, phen, dipirido[3,2-a:2,3-c]fenazina, dppz, L= trans-1,2bis(4-piridil)etileno, trans-bpe, trans-4-estirilpiridina. trans-stpy) e dos complexos binucleares [(CO)3(phen)Re(trans-bpe)Re(phen)(CO)3]2+, [(CO)3(phen)Re(trans-bpe)Fe(CN5]2- e [(phen)(CO)3Re(trans-bpe)Os(terpy)(bpy)]3+. O enfoque principal deste trabalho é a investigação das propriedades fotoquímicas dos complexos fac-[ Re(CO)3(phen)(trans-bpe)]+, fac-[Re(CO)3(phen)(trans-stpy)]+ fac-[Re(CO)3(dppz)(trans-bpe)+ e [(CO)3(phen)Re(trans-bpe)Re(phen)(CO)3]2+. Observou-se que os compostos em solução de acetonitrila, sob irradiação a 313, 334 ou 365 nm, apresentam variação espectral com definição de pontos isosbésticos, resultante do processo de fotoisomerização trans→cis do ligante coordenado trans-piridil etileno. Os rendimentos quânticos, Φ, da reação de fotoisomerização foram calculados com base no decaimento espectral das bandas de absorção das transições eletrônicas. Os valores médios determinados para a fotoisomeriação dos complexos em solução de CH3CN variam de 0,15 - 0,39 sob excitação a 313 nm e de 0,12 - 0,33 sob excitação a 365 nm. As reações de fotoisomerização foram monitoradas também por medidas de emissão e por RMN de 1H. Observou-se um aumento da intensidade de luminescência com o tempo de irradiação dos complexos, consistente com o estado emissivo 3MLCT dπ[(Re)→π*(α-diimina). Após irradiação, as reações de fotoisomerização dos complexos foram monitoradas por RMN de 1H. Os sinais de prótons do isômero trans tiveram um decréscimo gradual, enquanto que a intensidade dos sinais referentes aos prótons da espécie cis aumentaram. Os rendimentos quânticos para o processo de fotoisomerização dos complexos foram calculados através da integração das áreas dos sinais de prótons. Os valores obtidos foram maiores, pelo menos o dobro, que aqueles valores obtidos via espectroscopia UV-Vis. O comportamento fotoquímico dos complexos incorporados em polimetacrilato de metila, PMMA, foi também investigado. A fotólise cios complexos em filmes de PMMA conduz à variação espectral, de absorção e emissão, similar àquela observada em solução de acetonitrila, atribuícla ao processo de fotoisomerização trans → cis do ligante coordenado. Este estudo mostra que a fotoisomerização do ligante coordenado trans-piridil etileno pode ser promovida também em meio rígido. Essa característica. típica de um dispositivo molecular, pode ser convenientemente explorada no desenvolvimento de fotossensores. As medidas de TRIR mostram que o estado excitado de menor energia para o fac-[Re(CO)3(phen)(trans-bpe)+ é o 3ππ*. Para o fac-[Re(CO)3(phen)(cis-bpe)]+ a ordem dos estados excitados aparecem invertidas com o 3MLCT <3ππ*, evidenciado pela emissão do complexo cis à temperatura ambiente. Nas espécies binucleares, [(phen) Re(CO)3(trans-bpe)Os(terpy)(bpy)]3+ e [(CO)3(phen)Re(trans-bpe)Fe(CN)5]2-, a fotoisomerização trans → cis do ligante coordenado trans-bpe, característica da subunidade fac-[Re(CO)3(phen)(trans-bpe)]+, é inibida pela competição de transferência de energia intramolecular. Em meio rígido, em PMMA ou em EPA a 77 K, os máximos de emissão dos complexos fac-[Re(CO)3(phen)(cis-bpe)]+, fac-[Re(CO)3(phen)(cis-stpy)r e [(CO)3(phen)Re(cis-bpe)Re(phen)(CO)3]2+ sofrem um deslocamento hipsocrômico com o aumento da rigidez do meio. As mudanças nas propriedades emissivas, em termos de energia e tempo de vida do estado excitado, são discutidas baseadas no efeito rigidocrômico luminescente. O trabalho mostra uma forma interessante de fotos sensibilizar um substrato orgâmco usando o fato de que a coordenação estende a absorção do ligante a uma região de comprimento de onda maior e promove a fotoisomerização assistida por complexos metálicos em energias menores.

Extração de casos de teste utilizando Redes de Petri hierárquicas e validação de resultados utilizando OWL.

Este trabalho propõe dois métodos para teste de sistemas de software: o primeiro extrai ideias de teste de um modelo desenvolvido em rede de Petri hierárquica e o segundo valida os resultados após a realização dos testes utilizando um modelo em OWL-S. Estes processos aumentam a qualidade do sistema desenvolvido ao reduzir o risco de uma cobertura insuficiente ou teste incompleto de uma funcionalidade. A primeira técnica apresentada consiste de cinco etapas: i) avaliação do sistema e identificação dos módulos e entidades separáveis, ii) levantamento dos estados e transições, iii) modelagem do sistema (bottom-up), iv) validação do modelo criado avaliando o fluxo de cada funcionalidade e v) extração dos casos de teste usando uma das três coberturas de teste apresentada. O segundo método deve ser aplicado após a realização dos testes e possui cinco passos: i) primeiro constrói-se um modelo em OWL (Web Ontology Language) do sistema contendo todas as informações significativas sobre as regras de negócio da aplicação, identificando as classes, propriedades e axiomas que o regem; ii) em seguida o status inicial antes da execução é representado no modelo através da inserção das instâncias (indivíduos) presentes; iii) após a execução dos casos de testes, a situação do modelo deve ser atualizada inserindo (sem apagar as instâncias já existentes) as instâncias que representam a nova situação da aplicação; iv) próximo passo consiste em utilizar um reasoner para fazer as inferências do modelo OWL verificando se o modelo mantém a consistência, ou seja, se não existem erros na aplicação; v) finalmente, as instâncias do status inicial são comparadas com as instâncias do status final, verificando se os elementos foram alterados, criados ou apagados corretamente. O processo proposto é indicado principalmente para testes funcionais de caixa-preta, mas pode ser facilmente adaptado para testes em caixa branca. Obtiveram-se casos de testes semelhantes aos que seriam obtidos em uma análise manual mantendo a mesma cobertura do sistema. A validação provou-se condizente com os resultados esperados, bem como o modelo ontológico mostrouse bem fácil e intuitivo para aplicar manutenções.

The differential evolution of hot- and cold-dust in galaxies in the last 7.5 GYR

Tese de mestrado em Física, apresentada à Universidade de Lisboa, através da Faculdade de Ciências, 2016

A rotação partidária em Portugal : a aprendizagem da alternância política (c. 1860-1890)

Tese de doutoramento, História (História Contemporânea), Universidade de Lisboa, Faculdade de Letras, 2016

Intervenções de enfermagem na prevenção da pneumonia associada à ventilação mecânica

Relatório de Trabalho de Projeto apresentado para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Enfermagem Médico-cirúrgica

Regulador linear de tensão em tecnologia HV-CMOS

Atualmente, assiste-se na nossa sociedade a um recurso e uso massivo de equipamentos eletrónicos portáteis. Este facto, aliado à competitividade de mercado, exigiu o desenvolvimento desses equipamentos com o intuito de melhorar a sua gestão de potência e, obter, consequentemente, maior autonomia e rendimento. Assim, na gestão de potência de um SoC são os reguladores de tensão que assumem um papel de extrema importância. O trabalho realizado ao longo da presente dissertação pressupõe o projeto de um regulador linear de tensão do tipo LDO em tecnologia HV-CMOS, capaz de suportar tensões de entrada de 12V com vista à alimentação de blocos funcionais RF-CMOS com 3,3V e uma corrente de 100mA. Foi implementado através do processo CMOS de 0.35μm de 50V da Austria Micro Systems. A corrente de quiescente do regulador linear de tensão que determina a eficiência de corrente é de 120,22μA. Possui uma eficiência de corrente de 99,88% e um rendimento de 82,46% quando a tensão mínima de entrada é utilizada. O regulador linear de tensão possui uma tensão de dropout de 707mV. A estabilidade do sistema é mantida mesmo com transições de carga de 10μA para 100mA. O regulador possui um tempo de estabelecimento inferior a 2,4μs e uma variação da tensão de saída relativamente ao seu valor nominal inferior a 18mV, ambos para o pior caso. Porém, este regulador possui um undershoot e um overshoot de +- 1,85V.

Concepções sobre os livros didáticos de geografia: narrativas autobiográficas de professores do ensino fundamental

O livro didático é um complexo objeto cultural, haja vista ser ao mesmo tempo elemento de intermediação nos processos de ensino e aprendizagem, produto comercializado que contém o conhecimento para a formação do aluno e objeto de compra, pelo Governo Federal, para ser distribuído para escolas em todo o Brasil. Configura-se, assim, como um produto cultural composto, híbrido, que se encontra no “cruzamento da cultura, da pedagogia, da produção editorial e da sociedade”. (STRAY,1993, p.77-78). Outrossim, o livro didático, tradicionalmente, é “um dos lugares formais do conhecimento escolar, pelo menos daquele saber julgado necessário à formação da sociedade e dos seus indivíduos” (MEDEIROS, 2006, p.34) e a materialização do seu uso pelo professor encontra-se interconectada pelas representações e conceitos construídos nas múltiplas transições na história de vida docente, tendo em vista que a práxis humana constrói-se numa perspectiva retroativa (do presente para o passado), numa hermenêutica social dos atos individuais. É nesse contexto que se situou a pesquisa, entendida como uma possibilidade de contribuição significativa ao debate da educação geográfica, ao propor a compreensão das concepções construídas nas múltiplas transições na narrativa de vida do docente com o livro didático de Geografia. A pesquisa se definiu como um estudo qualitativo, ancorado nas entrevistas narrativas, o qual abrangeu um levantamento de dados sobre as Histórias de vida de professores/professoras dos anos iniciais do Ensino Fundamental de uma escola da rede pública, no intuito de recorrermos às suas memórias escolares, acadêmica (formação inicial) e profissional para situarmos no espaço-tempo as suas concepções sobre o livro didático de Geografia. O livro didático de Geografia foi a área de interesse escolhida, sendo problematizada a partir do seguinte questionamento: quais as concepções atribuídas pelos professores do Ensino Fundamental aos livros didáticos de Geografia? As ideias dos professores expressas nas entrevistas narrativas da nossa pesquisa confirmam a conjuntura de indefinição e superficialidade teóricometodológica sobre o livro didático de Geografia, cujas concepções ficaram restritas aos seus aspectos descritivos, evidenciando a ausência de atribuições de significados pertinentes a uma reelaboração teórica do narrar produzido, como também, de questionamentos dos princípios organizadores das concepções sistematizadas. Desse modo, as ideias apontadas pelos professores em foco, restringiram-se à enumeração dos aspectos característicos do fenômeno em questão – o livro didático de Geografia – na sua superficialidade, isto é, não expressaram elementos que possibilitassem ver as concepções numa perspectiva macro, destacando-se mais as explicações das partes e das percepções isoladas, do que níveis mais abrangentes de generalidade do referido objeto de estudo. Enfatizamos, por fim, a necessária continuidade da pesquisa, e consequentemente, desse processo permanente de reflexão sobre as concepções do livro didático de Geografia, sendo mister explicitar, portanto, a razão histórica que as norteiam para que se possa buscar uma prática docente mais crítica e propositiva.

Estudo de complexos de ferro e de cobre com a base de Shiff 3-Meosalen e ligantes de relevância biológica

The goal set for this work was to synthesize and to characterize new iron and copper complexes with the Schiff base 3-MeOsalen and ligands of biological relevance, whose formulas are [Fe(3-MeOsalen)NO2], [Fe(3-MeOsalen)(etil2-dtc)], [Fe(3-MeOsalen)NO] and Na[Cu(3-MeOsalen)NO2]. The compounds were characterized by vibrational spectroscopy in the infrared region (IV) and Electronic spectroscopy in the ultraviolet and visible region (Uv-Vis). From the analysis of infrared spectra, they proved to formation of precursor complexes, as evidenced by changes in the vibrationals frequencies ν(C=N) e ν(C-O) and the emergence of vibrationals modes metal-oxygen and metal-nitrogen. For nitro complexes of iron and copper were observed ν(NO2)ass around 1300 cm-1 e ν(NO2)sim in 1271 cm-1 , indicating that the coordination is done via the nitrogen atom. The complex spectrum [Fe(3-MeOsalen)(etil2-dtc)] exhibited two bands, the ν(C-NR2) in 1508 cm-1 e ν(C-S) in 997 cm-1 , the relevant vibrational modes of coordinating ligand in the bidentate form. For the complex [Fe(3-MeOsalen)NO] was observed a new intense band in 1670 cm-1 related to the ν(NO). With the electronic spectra, the formation of complexes was evidenced by shifts of bands intraligands transitions and the emergence of new bands such as LMCT (p Cl-  d* Fe3+) in [Fe(3-MeOsalen)Cl] and the d-d in [Cu(3-MeOsalen)H2O]. As for the [Fe(3-MeOsalen)NO2] has highlighted the absence of LMCT band present in the precursor complex as for the [Cu(3-MeOsalen)NO2] found that the displacement of the band hipsocrômico d-d on 28 nm. The electronic spectrum of [Fe(3-MeOsalen)(etil2-dtc)] presented LMCT band shifts and changes in intraligantes transitions. With regard to [Fe(3-MeOsalen)NO], revealed a more energetic transitions intraligands regions from the strong character π receiver NO and MLCT band of transition dπFe(II)π*(NO).

Viver e esperar viver: corpo e identidade na transição de gênero de homens trans

This work seeks to understand how trans men build their identities and live the transsexual experience in the relationships they establish daily onto “man” category. It could be observed that for it they engenders a specific gender transition in the midst of male transsexuality. Despite being under a complex amalgam of relations of exploitation and disciplinary domination, ways of being man are brokered for a living and entry into spaces where they are expelled for not conform the bodies that gender norms require. It is understood that gender transition is a process at the same time of organic and prosthetic body management and the assumption of your own identity. Thus, they build a politic of identity that creatively fixes a person's category as rights holder. The "transition" is therefore to transact from nonexistence to a place of humanity. This dissertation describes how this process takes place in the experiences of the speakers, observing the practices that bring out the male, front of class positions on the labor market, access to health, hormonization and own identity. Thereby, theories that fix them as expressing female masculinities or marginal to the hegemony do not find exactitude in their lives. The research methodologically started performing "multilocated ethnographies" that gave possibilities to in-depth interviews with 15 stakeholders from the Northeast, Midwest, Southeast and South of Brazil. Between 2014 and 2015, from the applying of network technique to the first dialogues in research, it was possible to build a participant observation by the trans men’s everyday life. Wherewith I was capable to behold their own private activities, as well as their public agency amid a trans activism collective in northeast, and the follow-up actions in which they were involved during the XII Encontro Nacional em Universidades de Diversidade Sexual e de Gênero (ENUDSG) held in Mossoró/RN. Therefore, the thesis engages to describe and understand the different ways of constructing trans male gender transitions in access to transsexuality and therefore a way of explaining their own trajectories in terms of people that exist as such, even though in the midst of narratives marked by emotions linked to "not live", to suffering and dehumanization.

Behavioural profiles of captive capuchin monkeys (Sapajus spp.): analyses at group and individual levels

The use of behavioural indicators of suffering and welfare in captive animals has produced ambiguous results. In comparisons between groups, those in worse condition tend to exhibit increased overall rate of Behaviours Potentially Indicative of Stress (BPIS), but when comparing within groups, individuals differ in their stress coping strategies. This dissertation presents analyses to unravel the Behavioural Profile of a sample of 26 captive capuchin monkeys, of three different species (Sapajus libidinosus, S. flavius and S. xanthosternos), kept in different enclosure types. In total, 147,17 hours of data were collected. We explored four type of analysis: Activity Budgets, Diversity indexes, Markov chains and Sequence analyses, and Social Network Analyses, resulting in nine indexes of behavioural occurrence and organization. In chapter One we explore group differences. Results support predictions of minor sex and species differences and major differences in behavioural profile due to enclosure type: i. individuals in less enriched enclosures exhibited a more diverse BPIS repertoire and a decreased probability of a sequence with six Genus Normative Behaviour; ii. number of most probable behavioural transitions including at least one BPIS was higher in less enriched enclosures; iii. proeminence indexes indicate that BPIS function as dead ends of behavioural sequences, and proeminence of three BPIS (pacing, self-direct, active I) were higher in less enriched enclosures. Overall, these data are not supportive of BPIS as a repetitive pattern, with a mantra-like calming effect. Rather, the picture that emerges is more supportive of BPIS as activities that disrupt organization of behaviours, introducing “noise” that compromises optimal activity budget. In chapter Two we explored individual differences in stress coping strategies. We classified individuals along six axes of exploratory behaviour. These were only weakly correlated indicating low correlation among behavioural indicators of syndromes. Nevertheless, the results are suggestive of two broad stress coping strategies, similar to the bold/proactive and shy/reactive pattern: more exploratory capuchin monkeys exhibited increased values of proeminence in Pacing, aberrant sexual display and Active 1 BPIS, while less active animals exhibited increased probability in significant sequences involving at least one BPIS, and increased prominence in own stereotypy. Capuchin monkeys are known for their cognitive capacities and behavioural flexibility, therefore, the search for a consistent set of behavioural indictors of welfare and individual differences requires further studies and larger data sets. With this work we aim contributing to design scientifically grounded and statistically correct protocols for collection of behavioural data that permits comparability of results and meta-analyses, from whatever theoretical perspective interpretation it may receive.

Caracterização do ritmo circadiano de atividade e repouso em saguis idosos (Callithrix Jacchus)

Advanced age may become a limiting factor for the maintenance of rhythms in organisms, reducing the capacity of generation and synchronization of biological rhythms. In this study, the influence of aging on the expression of endogenous periodicity and synchronization (photic and social) of the circadian activity rhythm (CAR) was evaluated in a diurnal primate, the marmoset (Callithrix jacchus). This study had two approaches: one with longitudinal design, performed with a male marmoset in two different phases: adult (three years) and older (9 y.o.) (study 1) and the second, a transversal approach, with 6 old (♂: 9.7 ± 2.0 y.o.) and 11 adults animals (♂: 4.2 ± 0.8 y.o.) (study 2). The evaluation of the photic synchronization involved two conditions in LD (natural and artificial illuminations). In study 1, the animal was subjected to the following stages: LD (12:12 ~ 350: ~ 2 lx), LL (~ 350 lx) and LD resynchronization. In the second study, the animals were initially evaluated in natural LD, and then the same sequence stages of study 1. During the LL stage in study 2, the vocalizations of conspecifics kept in natural LD on the outside of the colony were considered temporal cue to the social synchronization. The record of the activity was performed automatically at intervals of five minutes through infrared sensor and actimeters, in studies 1 and 2, respectively. In general, the aged showed a more fragmented activity pattern (> IV < H and > PSD, ANOVA, p < 0.05), lower levels of activity (ANOVA, p < 0.05) and shorter duration of active phase (ANOVA, p < 0.05) in LD conditions, when compared to adults. In natural LD, the aged presented phase delay pronounced for onset and offset of active phase (ANOVA, p < 0.05), while the adults had the active phase more adjusted to light phase. Under artificial LD, there was phase advance and greater adjustment of onset and offset of activity in relation to the LD in the aged (ANOVA, p < 0.05). In LL, there was a positive correlation between age and the endogenous period () in the first 20 days (Spearman correlation, p < 0.05), with prolonged  held in two aged animals. In this condition, most adults showed free-running period of the circadian activity rhythm with  < 24 h for the first 30 days and later on relative coordination mediated by auditory cues. In study 2, the cross-correlation analysis between the activity profiles of the animals in LL with control animals kept under natural LD, found that there was less social synchronization in the aged. With the resubmission to the LD, the resynchronization rate was slower in the aged (t-test; p < 0.05) and in just one aged animal there was a loss of resynchronization capability. According to the data set, it is suggested that the aging in marmosets may be related to: 1) lower amplitude and greater fragmentation of the activity, accompanied to phase delay with extension of period, caused by changes in a photic input, in the generation and behavioral expression of the CAR; 2) lower capacity of the circadian activity rhythm to photic synchronization, that can become more robust in artificial lighting conditions, possibly due to the higher light intensities at the beginning of the active phase due to the abrupt transitions between the light and dark phases; and 3) smaller capacity of non-photic synchronization for auditory cues from conspecifics, possibly due to reducing sensory inputs and responsiveness of the circadian oscillators to auditory cues, what can make the aged marmoset most vulnerable, as these social cues may act as an important supporting factor for the photic synchronization.

Caracterização do ritmo circadiano de atividade e repouso em saguis idosos (Callithrix Jacchus)

Advanced age may become a limiting factor for the maintenance of rhythms in organisms, reducing the capacity of generation and synchronization of biological rhythms. In this study, the influence of aging on the expression of endogenous periodicity and synchronization (photic and social) of the circadian activity rhythm (CAR) was evaluated in a diurnal primate, the marmoset (Callithrix jacchus). This study had two approaches: one with longitudinal design, performed with a male marmoset in two different phases: adult (three years) and older (9 y.o.) (study 1) and the second, a transversal approach, with 6 old (♂: 9.7 ± 2.0 y.o.) and 11 adults animals (♂: 4.2 ± 0.8 y.o.) (study 2). The evaluation of the photic synchronization involved two conditions in LD (natural and artificial illuminations). In study 1, the animal was subjected to the following stages: LD (12:12 ~ 350: ~ 2 lx), LL (~ 350 lx) and LD resynchronization. In the second study, the animals were initially evaluated in natural LD, and then the same sequence stages of study 1. During the LL stage in study 2, the vocalizations of conspecifics kept in natural LD on the outside of the colony were considered temporal cue to the social synchronization. The record of the activity was performed automatically at intervals of five minutes through infrared sensor and actimeters, in studies 1 and 2, respectively. In general, the aged showed a more fragmented activity pattern (> IV < H and > PSD, ANOVA, p < 0.05), lower levels of activity (ANOVA, p < 0.05) and shorter duration of active phase (ANOVA, p < 0.05) in LD conditions, when compared to adults. In natural LD, the aged presented phase delay pronounced for onset and offset of active phase (ANOVA, p < 0.05), while the adults had the active phase more adjusted to light phase. Under artificial LD, there was phase advance and greater adjustment of onset and offset of activity in relation to the LD in the aged (ANOVA, p < 0.05). In LL, there was a positive correlation between age and the endogenous period () in the first 20 days (Spearman correlation, p < 0.05), with prolonged  held in two aged animals. In this condition, most adults showed free-running period of the circadian activity rhythm with  < 24 h for the first 30 days and later on relative coordination mediated by auditory cues. In study 2, the cross-correlation analysis between the activity profiles of the animals in LL with control animals kept under natural LD, found that there was less social synchronization in the aged. With the resubmission to the LD, the resynchronization rate was slower in the aged (t-test; p < 0.05) and in just one aged animal there was a loss of resynchronization capability. According to the data set, it is suggested that the aging in marmosets may be related to: 1) lower amplitude and greater fragmentation of the activity, accompanied to phase delay with extension of period, caused by changes in a photic input, in the generation and behavioral expression of the CAR; 2) lower capacity of the circadian activity rhythm to photic synchronization, that can become more robust in artificial lighting conditions, possibly due to the higher light intensities at the beginning of the active phase due to the abrupt transitions between the light and dark phases; and 3) smaller capacity of non-photic synchronization for auditory cues from conspecifics, possibly due to reducing sensory inputs and responsiveness of the circadian oscillators to auditory cues, what can make the aged marmoset most vulnerable, as these social cues may act as an important supporting factor for the photic synchronization.

Estudo da transição de fase da percolação através da entropia da informação

Various physical systems have dynamics that can be modeled by percolation processes. Percolation is used to study issues ranging from fluid diffusion through disordered media to fragmentation of a computer network caused by hacker attacks. A common feature of all of these systems is the presence of two non-coexistent regimes associated to certain properties of the system. For example: the disordered media can allow or not allow the flow of the fluid depending on its porosity. The change from one regime to another characterizes the percolation phase transition. The standard way of analyzing this transition uses the order parameter, a variable related to some characteristic of the system that exhibits zero value in one of the regimes and a nonzero value in the other. The proposal introduced in this thesis is that this phase transition can be investigated without the explicit use of the order parameter, but rather through the Shannon entropy. This entropy is a measure of the uncertainty degree in the information content of a probability distribution. The proposal is evaluated in the context of cluster formation in random graphs, and we apply the method to both classical percolation (Erd¨os- R´enyi) and explosive percolation. It is based in the computation of the entropy contained in the cluster size probability distribution and the results show that the transition critical point relates to the derivatives of the entropy. Furthermore, the difference between the smooth and abrupt aspects of the classical and explosive percolation transitions, respectively, is reinforced by the observation that the entropy has a maximum value in the classical transition critical point, while that correspondence does not occurs during the explosive percolation.

Estudo da transição de fase da percolação através da entropia da informação

Various physical systems have dynamics that can be modeled by percolation processes. Percolation is used to study issues ranging from fluid diffusion through disordered media to fragmentation of a computer network caused by hacker attacks. A common feature of all of these systems is the presence of two non-coexistent regimes associated to certain properties of the system. For example: the disordered media can allow or not allow the flow of the fluid depending on its porosity. The change from one regime to another characterizes the percolation phase transition. The standard way of analyzing this transition uses the order parameter, a variable related to some characteristic of the system that exhibits zero value in one of the regimes and a nonzero value in the other. The proposal introduced in this thesis is that this phase transition can be investigated without the explicit use of the order parameter, but rather through the Shannon entropy. This entropy is a measure of the uncertainty degree in the information content of a probability distribution. The proposal is evaluated in the context of cluster formation in random graphs, and we apply the method to both classical percolation (Erd¨os- R´enyi) and explosive percolation. It is based in the computation of the entropy contained in the cluster size probability distribution and the results show that the transition critical point relates to the derivatives of the entropy. Furthermore, the difference between the smooth and abrupt aspects of the classical and explosive percolation transitions, respectively, is reinforced by the observation that the entropy has a maximum value in the classical transition critical point, while that correspondence does not occurs during the explosive percolation.

Frases magnéticas, polaritons magnéticos e modos magnetostáticos em filmes e cristais magnônicos de terras-raras

Conselho Nacional de Desenvolvimento Científico e Tecnológico - CNPq