The quasiparticle model, based on quark and gluon degrees of freedom, has been developed for the description of the thermodynamics of a hot plasma of strongly interacting matter which is of enormous relevance in astrophysics, cosmology and for relativistic heavy-ion collisions as well. In the present work, this phenomenological model is extended into the realm of imaginary chemical potential and towards including, in general, different and independent quark flavour chemical potentials. In this way, nonzero net baryon-density effects in the equation of state are self-consistently attainable. Furthermore, a chain of approximations based on formal mathematical manipulations is presented which outlines the connection of the quasiparticle model with the underlying gauge field theory of strong interactions, QCD, putting the model on firmer ground. A comparison of quasiparticle model results with available lattice QCD data for, e. g., basic bulk thermodynamic quantities and various susceptibilities such as diagonal and off-diagonal susceptibilities, which provide a rich and sensitive testing ground, is found to be successful. Furthermore, different thermodynamic quantities and the phase diagram for imaginary chemical potential are faithfully described. Thus, the applicability of the model to extrapolate the equation of state known from lattice QCD at zero baryon density to nonzero baryon densities is shown. In addition, the ability of the model to extrapolate results to the chiral limit and to asymptotically large temperatures is illustrated by confrontation with available first-principle lattice QCD results. These extrapolations demonstrate the predictive power of the model. Basing on these successful comparisons supporting the idea that the hot deconfined phase can be described in a consistent picture by dressed quark and gluon degrees of freedom, a reliable QCD equation of state is constructed and baryon-density effects are examined, also along isentropic evolutionary paths. Scaling properties of the equation of state with fundamental QCD parameters such as the number of active quark flavour degrees of freedom, the entering quark mass parameters or the numerical value of the deconfinement transition temperature are discussed, and the robustness of the equation of state in the regions of small and large energy densities is shown. Uncertainties arising in the transition region are taken into account by constructing a family of equations of state whose members differ from each other in the specific interpolation prescription between large energy density region and a realistic hadron resonance gas equation of state at low energy densities. The obtained family of equations of state is applied in hydrodynamic simulations, and the implications of variations in the transition region are discussed by considering transverse momentum spectra and differential elliptic flow of directly emitted hadrons, in particular of strange baryons, for both, RHIC top energy and LHC conditions. Finally, with regard to FAIR physics, implications of the possible presence of a QCD critical point on the equation of state are outlined both, in an exemplary toy model and for an extended quasiparticle model.

Numerical simulation has been used, as common practice, to estimate the CO2 storage capacity of depleted reservoirs. However, this method is time consuming, expensive and requires detailed input data. This investigation proposes an analytical method to estimate the ultimate CO2 storage in depleted oil and gas reservoirs by implementing a volume constrained thermodynamic equation of state (EOS) using the reservoir?s average pressure and fluid composition. This method was implemented in an algorithm which allows fast and accurate estimations of final storage, which can be used to select target storage reservoirs, and design the injection scheme and surface facilities. Impurities such as nitrogen and carbon monoxide, usually contained in power plant flue gases, are considered in the injection stream and can be handled correctly in the proposed algorithm by using their thermodynamic properties into the EOS. Results from analytical method presented excellent agreement with those from reservoir simulation. Ultimate CO2 storage capacity was predicted with an average difference of 1.3%, molar basis, between analytical and numerical methods; average oil, gas, and water saturations were also matched. Additionally, the analytical algorithm performed several orders of magnitude faster than numerical simulation, with an average of 5 seconds per run.

The physical properties within the two-dimensional flow produced by the reflection of a plane shock of intermediate strength at a wedge, have been determined by analysis of the particle trajectories. The particle trajectories were obtained by high speed photography of smoke tracers within the flow. Trajectories were determined for different initial positions of the tracers relative to the wedge. The conservation of mass equation was used to determine the density at points within the flow. A knowledge of the shock configurations within the flow, together with the Rankins-Hugoniot equation, was used to determine the pressure immediately behind the incident and reflected shocks. The isentropic equation of state was used to determine the pressure after the passage of the reflected shock. The pressure determined in this manner agreed, within the limits of experimental error, with that obtained using a piezo-electric transducer. The temperature, velocity of sound, and particle velocity at points within the flow were also determined. / Graduate / 0605

The objectives of this work are to discuss multiscale models that are used to characterize the constitutive relations of the granular composite materials with dual functions. This is accomplished by the use of ab initio methods to obtain the constitutive relations of the structural energetic materials without conducting tests. First, it is necessary to study the quantum many body problem to quantitatively determine the internal energy of the material when subjected to different strain conditions. It is impossible to obtain an exact solution to the quantum many body problem that is modeled by the Schrödinger's equations with the current technology. It is possible to solve these equations approximately by the density functional theory which yields only energies at absolute 0ºK. Thus it becomes necessary to add both the lattice thermal contributions and electron thermal contribution. Then, resulting energy is used to bridge to the continuum level and obtain the constitutive equations. This is the procedure that is used in this work. The issues of the constitutive equations form the focus of this thesis. More specifically, the scope of the thesis is further restricted to analyze the constitutive equations of specific mixtures of nickel, aluminum with PTFE or Teflon as the binder. It is to be noted that the equations of state forms only a part of the complete constitutive relationships. This thesis presents solutions to the following problems: (1) Determination of the thermodynamically complete equation of state of the binder and the energetic material PTFE or Teflon, from ab initio methods based on the density functional theory. (2) Determination of the equations of state of the granular composite or the mixture of nickel, aluminum and PTFE from ab initio methods. (3) Determination of the complete constitutive equation of aluminum, from ab initio methods, under conditions of finite deformations, with principle of objectivity, material symmetry conditions and polyconvexity of the strain energy. All results are compared to test results whenever they are available.

This thesis is concerned with the mathematical modelling of elastic-plastic deformation in regimes of stress far exceeding the yield stress. Such scenarios are typically encountered in violent impact testing, where millimetre-thick samples of metal are subjected to pressures on the order of the bulk modulus of the material. We begin with an overview of violent impact testing, with particular attention paid to a specific class of experiments known as isentropic compression experiments (ICEs), which will provide motivation for the mathematical modelling and analysis in subsequent chapters. In chapter 2, by appealing to sound notions from rational mechanics and thermodynamics, we construct a mathematical model which aims to encapsulate the essential phenomena involved in violent elastic-plastic deformation. This is followed in chapter 3 with a numerical analysis of the mathematical model in uniaxial strain, which is the geometry relevant ICEs. In chapters 4 and 5, we corroborate the observations made in chapter 3 via a systematic mathematical analysis. In particular, our focus will be on the elastic and plastic waves that can propagate through finite metal samples during isentropic compression. Finally, in chapter 6, we explore the applicability of our model to other geometries, specifically the radially axisymmetric expansion of a circular cavity embedded in an infinite elastic-plastic medium. We conclude with a summary of our findings and suggest some avenues for future investigation.

Les travaux de cette thèse portent sur le développement de système microfluidiques génériques pour la mesure de propriétés thermodynamiques de solutions de proteines. Un procédé simple de fabrication de puces microfluidiques résistantes à la pression ainsi qu'à la majorité des solvants organiques a été développé. En outre, les propriétés de surface des microcanaux peuvent être ajustées afin de générer des émulsions eau dans huile ou huile dans l'eau. L'étude des interactions proteines-proteines en solution a été réalisée en couplant ces dispositifs expérimentaux à la diffusion de rayonnement X aux petits angles. Avec seulement quelque milligramme de produit, les données expérimentales obtenues ont permis de calculer le second coefficient du Viriel, grandeur thermodynamique permettant de quantifier les interactions entre protéines. Une nouvelle approche expérimentale a également été développée afin de déterminer l'équation d'état du lysozyme, équation reliant la pression osmotique à la fraction volumique. Ce système microfluidique est basé sur le transfert de matière entre d'une phase dispersée vers une phase continue. Dans une certaine gamme d'activité de l'eau, l'équation d'état obtenu est en bon accord avec les données de la littérature. Afin de relier la dynamique du transfert aux propriétés thermodynamique du système une première approche de modélisation est proposée. Cette approche a pour but de déterminer l'équation d'état de la protéine avec une seule goutte. / This thesis is focused on the development of more efficient protocols and systems, by means of generic microfluidic platforms for measuring thermodynamic properties of protein solutions. A simple method for manufacturing pressure-resistant microfluidic structures with high chemical resistance has been developed. In addition, the surface properties of the fabrication materials can be adjusted to generate hydrophilic and hydrophobic surfaces allowing to generate aqueous and non-aqueous emulsions. On a first approach, the study of protein-protein interactions in solution was successfully performed using just a few milligrams of product by coupling a microfluidic platform, developed ad-hoc for this application, to small angle X-ray scattering. The obtained experimental data were used to calculate the second virial coefficient, thermodynamic parameter which quantifies protein interactions. A second and new experimental approach has also been developed to determine protein equations of state (EOS), which relate protein osmotic pressure to its volume fraction in solution. This novel methodology is based on the study of the mass transfer between a dispersed and a continuous phase, which are generated and controlled by means of a microfluidic setup. For a given range of water activity, the resulting EOS was found to be in good agreement with data reported in the literature. To link the mass transfer dynamics to the thermodynamic properties of the system a first modeling approach was proposed. This approach aims to determine the EOS of the protein using a single droplet.

Heavy atomic nuclei are thought to have proton and neutron radial distributions which have different extents. This difference is usually quantified in terms of a neutron skin (rnp), defined as the difference between the root mean square radii of the neutron and proton radial distributions (rnp = rn - rp). The nature, or even existence, of the neutron skin is currently not well established for many nuclei. Different nuclear theories give different predictions for the neutron skin thickness ranging for a typical heavy nucleus from 0.05 to 0.35 fm. Accurate measurement of the properties of the neutron skin would be a powerful constraint to differentiate between models of nuclear structure, improving our knowledge of the basic Equation Of State (EOS) for neutron rich matter. Particularly, the rate at which the neutron skin thickness changes across an isotopic chain of nuclei gives a tight constraint on the EOS and is also amenable to experimental determination with small systematic error. Improving our knowledge of the EOS for neutron rich matter is a crucial step towards gaining a deeper understanding of nuclear structure and nuclear matter in general. These results will also impact our knowledge of compact astrophysical objects such as neutron stars. This thesis describes the first measurement of neutron skin thicknesses along an isotopic chain using an electromagnetic probe. The neutron skin is measured through the study of the coherent photoproduction of neutral π mesons emitted from nuclei. This experiment was carried out in the A2 hall of the MAMI facility in Mainz, Germany in October 2012. The incident photon beam comprised of energy tagged photons in the range of Eγ=150-800 MeV with an intensity of 10⁸ photons per second. Experimental data was obtained for three different tin targets, 116Sn, 120Sn and 124Sn. The products from the resulting photoreactions were measured in the Crystal Ball detector and in the TAPS calorimeter systems, with track and particle identification information for charged particles provided by a multi wire proportional chamber (MWPC) and a particle identification detector (PID). The experiment provides the first information on the evolution of the neutron skin thickness along an isotopic chain using an electromagnetic probe. The results are compared with a range of theoretical models and previous data from strongly interacting probes. The new data will provide an important new experimental constraint on the basic properties of the EOS in atomic nuclei.

Made available in DSpace on 2014-06-11T19:24:06Z (GMT). No. of bitstreams: 0 Previous issue date: 2002-11Bitstream added on 2014-06-13T20:11:56Z : No. of bitstreams: 1 medeiros_lg_me_ift.pdf: 943733 bytes, checksum: 8f5f1180edcd48023b600dfce45adc22 (MD5) / Sabemos, do modelo padrão da cosmologia, que quatro equações regem a dinâmica do universo. As duas primeiras são as equações de Friedmann, a terceira é a equação de conservação do tensor energia momento e a última é uma equação de estado. Através desta equação de estado podemos definir 3 períodos bastante distintos na evolução de nosso universo: era da matéria; era da radiação; era inflacionária . Por outro lado, baseado na termodinâmica, é razoável supor que a equação de estado do universo primordial seja bastante complexa, principalmente devido ao fenômeno de produção de pares. Nesta dissertação, propomos algumas equações de estado p(kT) para o universo primordial, baseado em um gás de fótons mais um gás de nucleons provenientes da radiação. Utilizando o método de Mayer de expansão de clusters, estes nucleons são tratados estatisticamente como partículas clássicas que interagem através de potenciais nucleares fenomenológicos. A principal característica destas equações de estado é que, devido à forte atração da interação nuclear, conforme a energia kT aumenta a pressão torna-se negativa. Portanto, as equações de estado p(kT) são capazes de ligar de forma natural as relações da era da radiação, da era inflacionária, possibilitando assim um mecanismo físico de geração de inflação no universo primordial. / We knows, from the standard model of cosmology, that four equations determine the dynamics of the universe. The first two are the Friedmann's equations, the third one is the equation of the conservation of the energy-momentum tensor and the last one is a equation of state. Through this equation of state we can define 3 much distinct periods in the evolution of the universe: matter era; radiation era; inflationary era. Nevertheless, based on thermodynamics, it's reasonable to suppose that the equation of state of the early universe is very complex, mainly due to the pair production phenomenon. In this dissertation we propose some equations of state p(KT) for the early universe, based in a gas of fotons plus a gas of radiation-belonging nucleons. Using the Mayer's method of cluster expansion, these nucleons are treated statisticaly as classical particles that interact through phenomenological nuclear potentials. The main characteristic of these equations of state is that, due to the strong attraction of the nuclear interaction, as the energy kT grows the pressure become negative. Thus, the equations of state p(kT) are able to link naturally the equation of the radiation era and of the inflationary era, enabling in this way a physical mechanism that produces inflation in the early universe.

Orientador: Ruben Aldrovandi / Banca: Sandro Silva e Costa / Banca: Diógenes Galetti / Resumo: Sabemos, do modelo padrão da cosmologia, que quatro equações regem a dinâmica do universo. As duas primeiras são as equações de Friedmann, a terceira é a equação de conservação do tensor energia momento e a última é uma equação de estado. Através desta equação de estado podemos definir 3 períodos bastante distintos na evolução de nosso universo: era da matéria; era da radiação; era inflacionária . Por outro lado, baseado na termodinâmica, é razoável supor que a equação de estado do universo primordial seja bastante complexa, principalmente devido ao fenômeno de produção de pares. Nesta dissertação, propomos algumas equações de estado p(kT) para o universo primordial, baseado em um gás de fótons mais um gás de nucleons provenientes da radiação. Utilizando o método de Mayer de expansão de clusters, estes nucleons são tratados estatisticamente como partículas clássicas que interagem através de potenciais nucleares fenomenológicos. A principal característica destas equações de estado é que, devido à forte atração da interação nuclear, conforme a energia kT aumenta a pressão torna-se negativa. Portanto, as equações de estado p(kT) são capazes de ligar de forma natural as relações da era da radiação, da era inflacionária, possibilitando assim um mecanismo físico de geração de inflação no universo primordial. / Abstract: We knows, from the standard model of cosmology, that four equations determine the dynamics of the universe. The first two are the Friedmann's equations, the third one is the equation of the conservation of the energy-momentum tensor and the last one is a equation of state. Through this equation of state we can define 3 much distinct periods in the evolution of the universe: matter era; radiation era; inflationary era. Nevertheless, based on thermodynamics, it's reasonable to suppose that the equation of state of the early universe is very complex, mainly due to the pair production phenomenon. In this dissertation we propose some equations of state p(KT) for the early universe, based in a gas of fotons plus a gas of radiation-belonging nucleons. Using the Mayer's method of cluster expansion, these nucleons are treated statisticaly as classical particles that interact through phenomenological nuclear potentials. The main characteristic of these equations of state is that, due to the strong attraction of the nuclear interaction, as the energy kT grows the pressure become negative. Thus, the equations of state p(kT) are able to link naturally the equation of the radiation era and of the inflationary era, enabling in this way a physical mechanism that produces inflation in the early universe. / Mestre

O plasma de quarks e glúons é um assunto que vem sendo muito estudado nos últimos anos, devido ao advento dos colisores de partículas modernos e os avanços nas pesquisas relacionadas a estrelas compactas. Assim, nesta tese tivemos como objetivo principal o estudo deste plasma. Para isto, aprimoramos uma equação de estado desenvolvida pelo nosso grupo, na qual foi adicionada a interação com um campo magnético constante. De posse desta nova equação de estado, que é formulada a partir da técnica de aproximação de campo médio, fizemos diversas aplicações. Em particular, no estudo de propagação de ondas lineares e não lineares, com o objetivo de verificar se a causalidade e estabilidade são respeitadas. Resolvemos a equação de Tolman-Oppenheimer-Volkoff para obter o diagrama massa-raio para uma estrela de quarks compacta. Estudamos como é a evolução temporal do Universo primordial resolvendo as equações de Friedmann e a evolução temporal de bolhas do plasma de quarks e glúons no gãs de hádrons (e também de bolhas de gás de hádrons no plasma de quarks e glúons) utilizando a equação de Rayleigh-Plesset relativística. / The quark gluon plama is a subject that has been actively studied in recent years, due to the advent of modern particle colliders and advances in research related to compact stars. Thus, in this thesis we had as main goal the study of this plasma. For this, we improved an equation of state developed by our group, where an interaction with a constant magnetic field was added. With this new equation of state, which is formulated from the mean field approximation technique, we made several applications. As in the study of propagation of linear and non-linear waves, with the goal of verifying whether the causality and stability are respected. We solved the Tolman-Oppenheimer-Volkoff equation to obtain the mass-radius diagram for a compact quark star. We study how the temporal evolution of the primordial Universe by solving Friedmanns equations and the temporal evolution of bubbles of quark gluon plasma in a hadrons gas (and also of bubbles of hadrons gas in a quark gluon plasma) using the relativistic Rayleigh-Plesset equation.