Esta tese tem como objetivo o estudo de aspectos dinâmicos e estatísticos da matéria escura em distribuições esféricas de massa. O fato de suas partículas constituintes interagirem gravitacionalmente mas não eletromagneticamente, e portanto sua evolução ser regida por interações de longo alcance, traz algumas complicações teóricas na descrição de suas propriedades nos termos da mecânica estatística, dificuldades compartilhadas com sistemas auto-gravitantes em geral. Para melhor compreender essas propriedades, estudamos as distribuições de matéria escura em três abordagens diferentes. Na primeira, utilizamos dados observacionais, utilizando lentes gravitacionais, em aglomerados de galáxias para comparar a performance de alguns modelos propostos para o perfil de densidade da matéria escura. Dividimos estes modelos em fenomenológicos ou teóricos. Dos primeiros, todos são capazes de descrever os dados observacionais com performance comparável. Entre os modelos teóricos estudados, o modelo chamado DARKexp descreve os dados tão bem quanto os primeiros. Numa segunda abordagem, utilizamos dados de simulações numéricas para testar uma função proposta para a distribuição de velocidades das partículas. Esta função inclui a anisotropia no campo de velocidades na chamada distribuição q-gaussiana. Comparamos a performance desta função com a da função gaussiana e concluímos que a primeira representa uma melhor descrição dos dados, mesmo levando em conta a introdução de um parâmetro extra, apesar de ainda apresentar algumas discrepâncias, especialmente nas regiões internas dos halos. Por fim, discutimos a possível relevância do conceito de indistinguibilidade na determinação dos estados de equilíbrio de sistemas auto-gravitantes em geral, propondo uma associação deste conceito com o nível de mistura do sistema. Implementamos esta associação numa análise combinatória e estudamos as conseqüências para a determinação da função distribuição e do perfil de densidades. Esta associação também levanta algumas dúvidas sobre a validade da equação de Vlasov durante o processo de relaxação violenta. / This thesis aims to study the dynamic and statistical aspects of dark matter in spherical distributions. The fact that their constituent particles interact gravitationally but not electromagnetically, and therefore its evolution is governed by long-range interactions, brings some theoretical complications in their description in terms of the statistical mechanics, difficulties shared with self-gravitating systems in general. To better understand these properties, we studied the distributions of dark matter in three different approaches. First, we used observational data, using gravitational lensing in galaxy clusters to compare the performance of some proposed models for the dark matter density profile. We divide these models in phenomenological or theoretical. All of the formers are able to describe the observational data with comparable performance. Among the theoretical models studied, the model called DARKexp describes the data as well as the formers. In a second approach, we use numerical simulation data to test a proposed function for the velocity distribution. This function includes the velocity anisotropy into the so called q-Gaussian distribution. We compared the performance of this function with the Gaussian function and concluded that the first is a better description of the data, even taking into account the introduction of an extra parameter, although still presenting some discrepancies, especially in the inner regions of the halo. Finally, we discuss the relevance of the concept of indistinguishability in determining the states of equilibrium of self-gravitating systems in general, suggesting an association of this concept with the mixing level of the system. We implement this association in a combinatorial analysis and study the consequences for the determination of the distribution function and the density profile. This association also raises some questions about the validity of the Vlasov equation during the process of violent relaxation.

L'optique gravitationnelle est desormais devenue un outil populaire pour mesurer les distributions de masse des structures sur des echelles tres differentes. Le cisaillement cosmique permet d'etudier les structures a tres grande echelle, et la combinaison des cisaillements forts et faibles permet de contraindre la distribution de masse des amas de galaxies. Dans cette these, je vais m'interesser a l'etude des halos de matiere noire en utilisant la technique du "galaxy-galaxy lensing". Une telle technique permet l'etude de la distribution de masse des galaxies de champ aussi bien que des galaxies d'amas en utilisant des donnees de bonne qualite, a partir de telescopes terrestres ou depuis l'espace. L'idee est la suivante : l'observation des formes de galaxies distantes qui ont ete deformees gravitationnelement par des galaxies d'avant-plan nous permet de contraindre la distribution de masse des galaxies d'avant-plan. Etant donne que la distortion d'une galaxie lentille sur une galaxie distante est tres petite devant la largeur de la distribution en ellipticite des galaxies, la seule facon de mesurer cet effet est de considerer le probleme statistiquement. Par consequent, le galaxy-galaxy lensing permet de contraindre les proprietes d'une population de haloo de matiere noire, et la significance des contraintes dependra du nombre de paires avant-plan/arriere-plan. Un avantage de cette approche statistique est qu'elle permet de sonder le potentiel gravitationnel des halos de galaxies jusqu'a un rayon tres grand ou les methodes plus traditionnelles ne sont pas applicables car il est peu probable de rencontrer des traceurs dynamiques et hydrodynamiques a ce rayon. Je presente une etude theorique du phenomene, en appliquant une methode de maximum de vraisemblance sur des donnees simulees, et en introduisant des profils de masse decrivant les halos de galaxies. Le but de ce travail est d'etudier differentes configurations observationnelles et de montrer quelles sont les contraintes que l'on peut esperer obtenir sur les proprietes des halos de galaxies. J'applique ensuite la methode proposee afin d'etudier les proprietes des galaxies residants dans des amas lentilles massifs. Avec le developpement des surveys grand champs, la technique du galaxy-galaxy lensing sera tres utile pour caracteriser la distribution de masse des galaxies en fonction du redshift, de l'environnement et de la morphologie.

<p>Most of the matter in the Universe appears to be in some form which does not emit or absorb light. While evidence for the existence of this dark matter has accumulated over the last seventy years, its nature remains elusive. In this thesis, quasars and low surface brightness galaxies (LSBGs) are used to investigate the properties of the dark matter. </p><p>Quasars are extremely bright light sources which can be seen over vast distances. These cosmic beacons may be used to constrain dark matter in the form of low-mass, compact objects along the line of sight, as such objects are expected to induce brightness fluctuations in quasars through gravitational microlensing effects. Using a numerical microlensing model, we demonstrate that the uncertainty in the typical size of the optical continuum-emitting region in quasars represents the main obstacle in this procedure. We also show that, contrary to claims in the literature, microlensing fails to explain the observed long-term optical variability of quasars. Here, quasar distances are inferred from their redshifts, which are assumed to stem from the expansion of the Universe. Some astronomers do however defend the view that quasar redshifts could have a different origin. A number of potential methods for falsifying claims of such non-cosmological redshifts are proposed. </p><p>As the ratio of dark to luminous matter is known to be unusually high in LSBGs, these objects have become the prime targets for probing dark matter halos around galaxies. Here, we use spectral evolutionary models to constrain the properties of the stellar populations in a class of unusually blue LSBGs. Using rotation curve data obtained at the ESO Very Large Telescope, we also investigate the density profiles of their dark halos. We find our measurements to be inconsistent with the predictions of the currently favoured cold dark matter scenario.</p>

Most of the matter in the Universe appears to be in some form which does not emit or absorb light. While evidence for the existence of this dark matter has accumulated over the last seventy years, its nature remains elusive. In this thesis, quasars and low surface brightness galaxies (LSBGs) are used to investigate the properties of the dark matter. Quasars are extremely bright light sources which can be seen over vast distances. These cosmic beacons may be used to constrain dark matter in the form of low-mass, compact objects along the line of sight, as such objects are expected to induce brightness fluctuations in quasars through gravitational microlensing effects. Using a numerical microlensing model, we demonstrate that the uncertainty in the typical size of the optical continuum-emitting region in quasars represents the main obstacle in this procedure. We also show that, contrary to claims in the literature, microlensing fails to explain the observed long-term optical variability of quasars. Here, quasar distances are inferred from their redshifts, which are assumed to stem from the expansion of the Universe. Some astronomers do however defend the view that quasar redshifts could have a different origin. A number of potential methods for falsifying claims of such non-cosmological redshifts are proposed. As the ratio of dark to luminous matter is known to be unusually high in LSBGs, these objects have become the prime targets for probing dark matter halos around galaxies. Here, we use spectral evolutionary models to constrain the properties of the stellar populations in a class of unusually blue LSBGs. Using rotation curve data obtained at the ESO Very Large Telescope, we also investigate the density profiles of their dark halos. We find our measurements to be inconsistent with the predictions of the currently favoured cold dark matter scenario.

Astrophysical data analysis of the weak-field predictions support the claim that modified gravity (MOG) theories provide a self-consistent, scale-invariant, universal description of galaxy rotation curves, without the need of non-baryonic dark matter. Comparison to the predictions of Milgrom's modified dynamics (MOND) provide a best-fit and experimentally determined universal value of the MOND acceleration parameter. The predictions of the modified gravity theories are compared to the predictions of cold non-baryonic dark matter (CDM), including a constant density core-modified fitting formula, which produces excellent fits to galaxy rotation curves including the low surface brightness and dwarf galaxies. Upon analysing the mass profiles of clusters of galaxies inferred from X-ray luminosity measurements, from the smallest nearby clusters to the largest of the clusters of galaxies, it is shown that while MOG provides consistent fits, MOND does not fit the observed shape of cluster mass profiles for any value of the MOND acceleration parameter. Comparison to the predictions of CDM confirm that whereas the Navarro-Frenk-White (NFW) fitting formula does not fit the observed shape of galaxy cluster mass profiles, the core-modified dark matter fitting formula provides excellent best-fits, supporting the hypothesis that baryons are dynamically important in the distribution of dark matter halos.

Astrophysical data analysis of the weak-field predictions support the claim that modified gravity (MOG) theories provide a self-consistent, scale-invariant, universal description of galaxy rotation curves, without the need of non-baryonic dark matter. Comparison to the predictions of Milgrom's modified dynamics (MOND) provide a best-fit and experimentally determined universal value of the MOND acceleration parameter. The predictions of the modified gravity theories are compared to the predictions of cold non-baryonic dark matter (CDM), including a constant density core-modified fitting formula, which produces excellent fits to galaxy rotation curves including the low surface brightness and dwarf galaxies. Upon analysing the mass profiles of clusters of galaxies inferred from X-ray luminosity measurements, from the smallest nearby clusters to the largest of the clusters of galaxies, it is shown that while MOG provides consistent fits, MOND does not fit the observed shape of cluster mass profiles for any value of the MOND acceleration parameter. Comparison to the predictions of CDM confirm that whereas the Navarro-Frenk-White (NFW) fitting formula does not fit the observed shape of galaxy cluster mass profiles, the core-modified dark matter fitting formula provides excellent best-fits, supporting the hypothesis that baryons are dynamically important in the distribution of dark matter halos.

Gas hydrate is a naturally occurring crystalline compound formed by water molecules and encapsulated gas molecules. The interest in gas hydrate reflects scientific, energy and safety concerns - climate change, future energy resources and seafloor stability. Gas hydrates form in the pore space of sediments, under high pressure and low temperature conditions. This research focuses on the fundamental understanding of hydrate bearing sediments, with emphasis on mechanical behavior, thermal properties and lens formation. Load-induced cementation and decementation effects are explored with lightly cemented loose and dense soil specimens subjected to ko-loading; the small-strain stiffness evolution inferred from shear wave velocity measurement denounces stiffness loss prior to structural collapse upon loading. Systematic triaxial tests address the intermediate and large strain response of hydrate bearing sediments for different mean particle size, applied pressure and hydrate concentration in the pore space; hydrate concentration determines elastic stiffness and undrained strength when Shyd>45%. A unique sequence of particle-level and macro-scale experiments provide new insight into the role of interparticle contact area, coordination number and pore fluid on heat transfer in particulate materials. Micro-mechanisms and necessary boundary conditions are experimentally analyzed to gain an enhanced understanding of hydrate lens formation in sediments; high specific surface soils and tensile stress fields facilitate lens formation. Finally, a new instrumented high-pressure chamber is designed, constructed and field tested. It permits measuring the mechanical and electrical properties of methane hydrate bearing sediments recovered from pressure cores without losing in situ pressure (~20MPa).

Observations from the 1930s until the present have established the existence of dark matter with an abundance that is much larger than that of luminous matter. Because none of the known particles of nature have the correct properties to be identified as the dark matter, various exotic candidates have been proposed. The neutralino of supersymmetric theories is the most promising example. Such cold dark matter candidates, however, lead to a conflict between the standard simulations of the evolution of cosmic structure and observations. Simulations predict excessive structure formation on small scales, including density cusps at the centers of galaxies, that is not observed. This conflict still persists in early 2007, and it has not yet been convincingly resolved by attempted explanations that invoke astrophysical phenomena, which would destroy or broaden all small scale structure. We have investigated another candidate that is perhaps more exotic: Lorentz-violating dark matter, which was originally motivated by an unconventional fundamental theory, but which in this dissertation is defined as matter which has a nonzero minimum velocity. Furthermore, the present investigation evolved into the broader goal of exploring the properties of Lorentz-violating matter and the astrophysical consequences – a subject which to our knowledge has not been previously studied. Our preliminary investigations indicated that this form of matter might have less tendency to form small-scale structure. These preliminary calculations certainly established that Lorentz-violating matter which always moves at an appreciable fraction of the speed of light will bind less strongly. However, the much more thorough set of studies reported here lead to the conclusion that, although the binding energy is reduced, the small-scale structure problem is not solved by Lorentz-violating dark matter. On the other hand, when we compare the predictions of Lorentz-violating dynamics with those of classical special relativity and general relativity, we find that differences might be observable in the orbital motions of galaxies in a cluster. For example, galaxies – which are composed almost entirely of dark matter – observed to have enlarged orbits about the cluster center of mass may be an indication of Lorentz violation.

Esta tese tem como objetivo o estudo de aspectos dinâmicos e estatísticos da matéria escura em distribuições esféricas de massa. O fato de suas partículas constituintes interagirem gravitacionalmente mas não eletromagneticamente, e portanto sua evolução ser regida por interações de longo alcance, traz algumas complicações teóricas na descrição de suas propriedades nos termos da mecânica estatística, dificuldades compartilhadas com sistemas auto-gravitantes em geral. Para melhor compreender essas propriedades, estudamos as distribuições de matéria escura em três abordagens diferentes. Na primeira, utilizamos dados observacionais, utilizando lentes gravitacionais, em aglomerados de galáxias para comparar a performance de alguns modelos propostos para o perfil de densidade da matéria escura. Dividimos estes modelos em fenomenológicos ou teóricos. Dos primeiros, todos são capazes de descrever os dados observacionais com performance comparável. Entre os modelos teóricos estudados, o modelo chamado DARKexp descreve os dados tão bem quanto os primeiros. Numa segunda abordagem, utilizamos dados de simulações numéricas para testar uma função proposta para a distribuição de velocidades das partículas. Esta função inclui a anisotropia no campo de velocidades na chamada distribuição q-gaussiana. Comparamos a performance desta função com a da função gaussiana e concluímos que a primeira representa uma melhor descrição dos dados, mesmo levando em conta a introdução de um parâmetro extra, apesar de ainda apresentar algumas discrepâncias, especialmente nas regiões internas dos halos. Por fim, discutimos a possível relevância do conceito de indistinguibilidade na determinação dos estados de equilíbrio de sistemas auto-gravitantes em geral, propondo uma associação deste conceito com o nível de mistura do sistema. Implementamos esta associação numa análise combinatória e estudamos as conseqüências para a determinação da função distribuição e do perfil de densidades. Esta associação também levanta algumas dúvidas sobre a validade da equação de Vlasov durante o processo de relaxação violenta. / This thesis aims to study the dynamic and statistical aspects of dark matter in spherical distributions. The fact that their constituent particles interact gravitationally but not electromagnetically, and therefore its evolution is governed by long-range interactions, brings some theoretical complications in their description in terms of the statistical mechanics, difficulties shared with self-gravitating systems in general. To better understand these properties, we studied the distributions of dark matter in three different approaches. First, we used observational data, using gravitational lensing in galaxy clusters to compare the performance of some proposed models for the dark matter density profile. We divide these models in phenomenological or theoretical. All of the formers are able to describe the observational data with comparable performance. Among the theoretical models studied, the model called DARKexp describes the data as well as the formers. In a second approach, we use numerical simulation data to test a proposed function for the velocity distribution. This function includes the velocity anisotropy into the so called q-Gaussian distribution. We compared the performance of this function with the Gaussian function and concluded that the first is a better description of the data, even taking into account the introduction of an extra parameter, although still presenting some discrepancies, especially in the inner regions of the halo. Finally, we discuss the relevance of the concept of indistinguishability in determining the states of equilibrium of self-gravitating systems in general, suggesting an association of this concept with the mixing level of the system. We implement this association in a combinatorial analysis and study the consequences for the determination of the distribution function and the density profile. This association also raises some questions about the validity of the Vlasov equation during the process of violent relaxation.

Durant les deux dernières décennies, de nombreux efforts ont été apportés pour comprendre le processus de formation des structures de l'Univers jeune. Les avancées dans les technologies observationnelles atteintes aujourd'hui permettent d'observer des galaxies de plus en plus loin, y compris celles responsables de la réionisation cosmique qui a eu lors du premier milliard d'années de l'Univers. L'objectif principal de cette thèse a été de poser des contraintes sur la nature et l'abondance des sources responsables de la réionisation cosmique. Plus précisément, l'étude s'est portée sur les galaxies qui forment des étoiles et qui ont une émission Lyman-alpha (LAE) entre z ~ 3 et 6.7. Il est à noter que cette thèse a été réalisée au sein du consortium MUSE, tout nouvel instrument installé au VLT en janvier 2014 dont nous avons exploité les données du GTO. Ce travail de thèse a permis de confirmer la puissance inégalée de MUSE au niveau de la détection et de l'étude de sources extragalactiques faibles sans aucune présélection. Nous avons observé quatre amas-lentilles dont l'amplification de la lumière permet la détection de sources à faible luminosité, au prix d'une diminution du volume d'Univers observé. Nous nous sommes d'abord focalisés sur l'étude de l'amas de galaxies Abell 1689 afin de structurer une méthodologie applicable aux autres amas. En comparant la densité volumique des LAEs détectés aux différentes fonctions de luminosité (FdL) de la littérature, nous sommes arrivés à la conclusion suivante : la pente de la loi de puissance que décrit la fonction de Schechter pour la partie la plus faible est plus petite que alpha <= -1.5, ce qui signifie que le nombre de LAEs croît extrêment vite vers les faibles luminosités. Nous avons ensuite appliqué cette méthode aux autres amas de notre échantillon observés par MUSE. Les LAEs identifiés et mesurés dans ces amas sont typiquement dix fois plus faibles que ceux observés dans les champs vides (39 < log(Lya) < 42.5). Environ un tiers de ces LAEs n'a pas de contrepartie dans le continuum jusqu'à AB ~ 28 sur les images HST et n'aurait donc jamais été vu sur des relevés pointés. Le catalogue final contient plus de 150 LAEs, ce qui nous a permis d'étudier la contribution des objets les plus faibles, ainsi que l'évolution de la pente en fonction du redshift. Les résultats obtenus semblent confirmer que la pente alpha est proche de -2 pour l'ensemble des LAEs compris entre 2.9 < z < 6.7. On observe aussi une évolution de alpha, qui passe de -1.8 à -1.95 entre z ~ 3-4 et z ~ 5-7, un résultat original et non dépendant des données utilisées pour la partie brillante de la FdL. L'intégration de cette FdL permet ensuite de calculer la densité de photons ionisants émis par ces LAEs et de déterminer leur impact relatif sur la réionisation cosmique. A l'avenir, la profondeur de champ atteinte par les données du James Webb Space Telescope (JWST) va repousser la limite de détection de ces galaxies jusqu'à z ~ 8. L'utilisation de spectrographes dans le proche infrarouge comme MOSFIRE/Keck, KMOS/VLT ou le tout récent EMIR/GTC permettent déjà de confirmer des candidats à z >= 7. Cette thèse a apporté des nouvelles contraintes sur la partie faible de la FdL des LAEs pour un redshift allant jusqu'à z ~ 6, un début donc de ce que l'on va pouvoir faire dans les années à venir pour des redshifts de l'ordre de z ~ 7-8. / Significant efforts have been put for the past two decades to understand the formation process of structure in the early Universe. The recent technological advances in the observational field allow for observing galaxies further and further, even the ones responsible for the cosmic reionization which occurred during the first billion years of the Universe. The main goal of this thesis was to impose constraints on the nature and the abundance of the sources responsible of the cosmic reionization. More specifically, the study was focused on the star-forming galaxies that have a Lyman-alpha emission (LAE) between z ~ 3 and 6.7. This thesis has been conducted within the framework of the MUSE consortium, a brand new instrument installed on the VLT in January 2014, as part of the exploitation of the Guaranteed Time (GTO). This thesis work has enabled us to confirm the unrivalled power of MUSE concerning the detection and the study of weak extragalactic sources without any preselection. We have observed four lensing clusters which magnify the incident light and make it possible to detect faint sources, at the expense of a decrease of the volume of the observed Universe. At first we started with the study of the galaxy cluster Abell 1689 in order to build up a methodology we intend to apply on other galaxy clusters. By comparing the volume density of the detected LAEs to the luminosity functions (LF) coming from the literature, we have reached the following conclusion : the slope of the power law from the Schechter function is smaller than alpha <= -1.5, which means that the number of LAEs increases drastically towards the faint luminoities. Then we have applied the new-build method to the other galaxy clusters of our sample observed with MUSE. The LAEs we have detected and measured in this sample are roughly ten times fainter than the ones observed in blank fields thanks to the lensing effect (39 < log(Lya) < 42.5). About one third of them lacks a counterpart in the continuum up to AB ~ 28 on the HST images and couldn't have been seen on targeted surveys. The final catalog includes more than 150 LAEs, this amount has enabled us to study the contribution of the faintest ones and also the evolution of the slope according to the redshift. The results of this work seem to confirm that the slope alpha is close to -2 for all the 2.9 < z < 6.7 LAEs. Furthermore, one can notice the evolution of alpha from -1.8 to -1.95 between z ~ 3-4 and z ~ 5-7, an original result and irrespective of the data set used to complement the present sample towards the bright region of the LF. The integral of the LF allows for working out the ionizing photons density emitted by these LAEs and for determining their relative impact on the cosmic reionization. In the future, the depth of the James Webb Space Telescope (JWST) observations will improve the limits of galaxy detection, certainly up to z ~ 8. The use of near-IR spectrographs such as MOSFIRE/Keck, KMOS/VLT or the very recent EMIR/GTC already provides the confirmation of z >= 7 candidates. This thesis brought new constraints on the faint-end part of the LF of LAEs for a redshift up to z ~ 6, which represents a beginning with respect to all we can do in the coming years for redshifts up to z ~ 7-8.