Dielectrics in a time-dependent electric field: a real-time approach based on density-polarization functional theory

In the presence of a (time-dependent) macroscopic electric field the electron dynamics of dielectrics cannot be described by the time-dependent density only. We present a real-time formalism that has the density and the macroscopic polarization P as key quantities. We show that a simple local function of P already captures long-range correlation in linear and nonlinear optical response functions. Specifically, after detailing the numerical implementation, we examine the optical absorption, the second- and third-harmonic generation of bulk Si, GaAs, AlAs and CdTe at different level of approximation. We highlight links with ultranonlocal exchange-correlation functional approximations proposed within linear response time-dependent density functional theory framework.

Fractional derivatives: probability interpretation and frequency response of rational approximations

The theory of fractional calculus (FC) is a useful mathematical tool in many applied sciences. Nevertheless, only in the last decades researchers were motivated for the adoption of the FC concepts. There are several reasons for this state of affairs, namely the co-existence of different definitions and interpretations, and the necessity of approximation methods for the real time calculation of fractional derivatives (FDs). In a first part, this paper introduces a probabilistic interpretation of the fractional derivative based on the Grünwald-Letnikov definition. In a second part, the calculation of fractional derivatives through Padé fraction approximations is analyzed. It is observed that the probabilistic interpretation and the frequency response of fraction approximations of FDs reveal a clear correlation between both concepts.

Coalition of distributed generation units to Virtual Power Players - a game theory approach

Smart Grids (SGs) have emerged as the new paradigm for power system operation and management, being designed to include large amounts of distributed energy resources. This new paradigm requires new Energy Resource Management (ERM) methodologies considering different operation strategies and the existence of new management players such as several types of aggregators. This paper proposes a methodology to facilitate the coalition between distributed generation units originating Virtual Power Players (VPP) considering a game theory approach. The proposed approach consists in the analysis of the classifications that were attributed by each VPP to the distributed generation units, as well as in the analysis of the previous established contracts by each player. The proposed classification model is based in fourteen parameters including technical, economical and behavioural ones. Depending of the VPP strategies, size and goals, each parameter has different importance. VPP can also manage other type of energy resources, like storage units, electric vehicles, demand response programs or even parts of the MV and LV distribution network. A case study with twelve VPPs with different characteristics and one hundred and fifty real distributed generation units is included in the paper.

Response curves of deterministic and probabilistic cellular automata in one and two dimensions

One of the most important problems in the theory of cellular automata (CA) is determining the proportion of cells in a specific state after a given number of time iterations. We approach this problem using patterns in preimage sets - that is, the set of blocks which iterate to the desired output. This allows us to construct a response curve - a relationship between the proportion of cells in state 1 after niterations as a function of the initial proportion. We derive response curve formulae for many two-dimensional deterministic CA rules with L-neighbourhood. For all remaining rules, we find experimental response curves. We also use preimage sets to classify surjective rules. In the last part of the thesis, we consider a special class of one-dimensional probabilistic CA rules. We find response surface formula for these rules and experimental response surfaces for all remaining rules.

The Effect of Public Spending on Consumption: Reconciling Theory and Evidence

Recent empirical evidence from vector autoregressions (VARs) suggests that public spending shocks increase (crowd in) private consumption. Standard general equilibrium models predict the opposite. We show that a standard real business cycle (RBC) model in which public spending is chosen optimally can rationalize the crowding-in effect documented in the VAR literature. When such a model is used as a data-generating process, a VAR estimated using the artificial data yields a positive consumption response to an increase in public spending, consistent with the empirical findings. This result holds regardless of whether private and public purchases are complements or substitutes.

Face aux portraits photographiques de Sally Mann. La série "What Remains" (2000-2004).

Le portrait captive lorsqu’il est envisagé comme présence humaine et qu’il tend à se soustraire à l’interprétation analytique. Prenant appui sur ce constat, le mémoire se penche sur la réponse spectatorielle induite par des portraits photographiques dont l’opacité pose un défi à l’attribution de significations précises. Ces portraits, qui abordent le thème de la mort, appartiennent au corpus "What Remains" (2000-2004) de l’artiste américaine Sally Mann. Ils réactualisent le procédé obsolète du collodion, revisitent le vocabulaire formel du pictorialisme et évoquent l’imagerie mortuaire du 19e siècle. Par ces citations historiques, les œuvres gênent la lecture du référent et introduisent des renversements de sens: elles troublent toute certitude dans la perception et toute littéralité dans l’interprétation. Le mémoire étudie les diverses stratégies citationnelles à la source de cette opacification et examine comment celles-ci tendent à établir les conditions de l’expérience esthétique. Après avoir réévalué certains présupposés théoriques sur la photographie, les paramètres techniques, formels et iconographiques des œuvres sont passés en revue afin d’évaluer leur impact respectif. En s’appuyant sur un cadre issu de la théorie des médias et de la psychanalyse, le travail du médium émerge comme le principal déterminant de l’expérience de ces portraits contemporains.

The Aesthetics of Madame de Staël and Mary Shelley

L’esthétique de Madame de Staël and Mary Shelley discute l’art de l’improvisation et le concept de l’enthousiasme dans les écrits de ces deux auteurs. Dans ce projet, j’explore l’esthétique d’improvisation et d’enthousiasme de Madame de Staël dans Corinne, en me référant à son autre roman Delphine, à sa pièce de théâtre Sapho, et à ses nouvelles ainsi qu’à ses textes philosophiques comme De l’Allemagne, De l’influence des passions, et De la littérature. J’argumente que Madame de Staël représente à travers le caractère de Corinne une esthétique anti-utilitaire. J’explique qu’elle évoque des valeurs cosmopolites qui valorisent une culture indigène qui est en opposition avec l’impérialisme de Napoléon. De plus, j’examine comment les improvisations de Corinne dérivent d’un enthousiasme qui est associé à la définition que Platon offre du terme. Ceci est évident par la signification que Madame de Staël présente du terme dans De L’Allemagne. J’interprète la maladie de Corinne comme étant d’origine psychosomatique qui est manifesté par la perte de son génie et par un suicide lent qui est une expression de colère contre la patriarchie. Le caractère de Corinne permet à Madame de Staël d’explorer le conflit que les femmes artistes éprouvaient entre ayant une carrière artistique et adhérant à l’idéologie domestique. Chapitre deux se concentre sur l’intérêt que Shelley démontre sur l’art de l’improvisation comme elle l’exprime dans ses lettres à propos de l’improvisateur Tommaso Sgricci. Malgré sa fascination avec la poésie extemporanée, Shelley regrette que cette forme d’art soit évanescente. Aussi, j’examine son enthousiasme pour un autre artiste, Nicolò Paganini. Son enchantement avec se violoniste virtuose est lié à des discours concernant le talent surnaturel des improvisateurs. J’argumente qu’il y a un continuum d’improvisation entre les balades orales du peuple et les improvisations de culture sophistiqué des improvisateurs de haute société. J’estime que les Shelleys collaboraient à définir une théorie d’inspiration à travers leurs intérêts pour l’art de l’improvisation. Chapitre trois considère le lien entre cosmologie et esthétique d’inspiration à travers la fonction de la musique, spécialement La Création de Joseph Haydn, dans The Last Man de Shelley. J’examine la représentation du sublime des Alpes dans le roman à travers de discours qui associent les Alpes avec les forces primordiales de la création. Les rôles de la Nécessité, Prophétie, et du Temps peuvent être compris en considérant la musique des sphères. Chapitre quatre explore les différentes définitions de terme enthousiasme dans les écrits de Shelley, particulièrement Valperga et The Last Man. Je discute l’opinion de Shelley sur Madame de Staël comme suggéré dans Lives. J’analyse les caractères qui ressemblent à Corinne dans les écrits de Shelley. De plus, je considère les sens multiples du mot enthousiasme en relation avec la Guerre civil d’Angleterre et la Révolution française. Je présente comment le terme enthousiasme était lié au cours du dix-septième siècle avec des discours médicales concernant la mélancolie et comment ceci est reflété dans les caractères de Shelley.

Spin and density longitudinal response of quantum dots in the time-dependent local-spin-density approximation

The longitudinal dipole response of a quantum dot has been calculated in the far-infrared regime using local-spin-density-functional theory. We have studied the coupling between the collective spin and density modes as a function of the magnetic field. We have found that the spin dipole mode and single-particle excitations have a sizable overlap, and that the magnetoplasmon modes can be excited by the dipole spin operator if the dot is spin polarized. The frequency of the dipole spin edge mode presents an oscillation which is clearly filling factor (v) related. We have found that the spin dipole mode is especially soft for even-n values. Results for selected numbers of electrons and confining potentials are discussed.

Influence of the driving mechanism on the response of systems with athermal dynamics: The example of the random-field Ising model

We investigate the influence of the driving mechanism on the hysteretic response of systems with athermal dynamics. In the framework of local mean-field theory at finite temperature (but neglecting thermally activated processes), we compare the rate-independent hysteresis loops obtained in the random field Ising model when controlling either the external magnetic field H or the extensive magnetization M. Two distinct behaviors are observed, depending on disorder strength. At large disorder, the H-driven and M-driven protocols yield identical hysteresis loops in the thermodynamic limit. At low disorder, when the H-driven magnetization curve is discontinuous (due to the presence of a macroscopic avalanche), the M-driven loop is reentrant while the induced field exhibits strong intermittent fluctuations and is only weakly self-averaging. The relevance of these results to the experimental observations in ferromagnetic materials, shape memory alloys, and other disordered systems is discussed.

Studies in quantum field theory at finite temperature

The thesis deals with certain quantum field systems exhibiting spontaneous symmetry breaking and their response to temperature. These models find application in diverse branches such as particle physics, solid state physics and non~linear optics. The nature of phase transition that these systems may undergo is also investigated. The thesis contains seven chapters. The first chapter is introductory and gives a brief account of the various phenomena associated with spontaneous symmetry breaking. The chapter closes with anote on the effect of temperature on quantum field systems. In chapter 2, the spontaneous symmetry breaking phenomena are reviewed in more detail. Chapter 3, deals with the formulation of ordinary and generalised sine-Gordon field theories on a lattice and the study of the nature of phase transition occurring in these systems. In chapter 4, the effect of temperature on these models is studied, using the effective potential method. Chapter 5 is a continuation of this study for another model, viz, the m6 model. The nature of phase transition is also studied. Chapters 5 and 6 constitute a report of the investigations on the behaviour of coupling constants under thermal excitation D1 $4 theory, scalar electrodynamics, abelian and non-abelian gauge theories

Self-consistent theory of current and voltage noise in multimode ballistic conductors

Electron transport in a self-consistent potential along a ballistic two-terminal conductor has been investigated. We have derived general formulas which describe the nonlinear current-voltage characteristics, differential conductance, and low-frequency current and voltage noise assuming an arbitrary distribution function and correlation properties of injected electrons. The analytical results have been obtained for a wide range of biases: from equilibrium to high values beyond the linear-response regime. The particular case of a three-dimensional Fermi-Dirac injection has been analyzed. We show that the Coulomb correlations are manifested in the negative excess voltage noise, i.e., the voltage fluctuations under high-field transport conditions can be less than in equilibrium.

Theory of laser-induced ultrafast structural changes in solids

The present thesis is a contribution to the study of laser-solid interaction. Despite the numerous applications resulting from the recent use of laser technology, there is still a lack of satisfactory answers to theoretical questions regarding the mechanism leading to the structural changes induced by femtosecond lasers in materials. We provide here theoretical approaches for the description of the structural response of different solids (cerium, samarium sulfide, bismuth and germanium) to femtosecond laser excitation. Particular interest is given to the description of the effects of the laser pulse on the electronic systems and changes of the potential energy surface for the ions. Although the general approach of laser-excited solids remains the same, the potential energy surface which drives the structural changes is calculated with different theoretical models for each material. This is due to the difference of the electronic properties of the studied systems. We use the Falicov model combined with an hydrodynamic method to study photoinduced phase changes in cerium. The local density approximation (LDA) together with the Hubbard-type Hamiltonian (LDA+U) in the framework of density functional theory (DFT) is used to describe the structural properties of samarium sulfide. We parametrize the time-dependent potential energy surface (calculated using DFT+ LDA) of bismuth on which we perform quantum dynamical simulations to study the experimentally observed amplitude collapse and revival of coherent $A_{1g}$ phonons. On the basis of a time-dependent potential energy surface calculated from a non-orthogonal tight binding Hamiltonian, we perform molecular dynamics simulation to analyze the time evolution (coherent phonons, ultrafast nonthermal melting) of germanium under laser excitation. The thermodynamic equilibrium properties of germanium are also reported. With the obtained results we are able to give many clarifications and interpretations of experimental results and also make predictions.

Análisis al Proceso de Titulación Minera en Colombia desde TOC (Theory Of Constraints)

El incumplimiento reiterado de la normatividad y políticas relacionadas con los tiempos de respuesta del proceso de contratación minera del país, desarrollado actualmente por la recién creada Agencia Nacional de Minería ANM, ha suscitado que la administración del recurso minero no se realice bajo los principios de eficiencia, eficacia, economía y celeridad. Estas debilidades manifiestas provocan represamientos en la resolución de trámites, congelación de áreas para contratar, sobrecostos, demoras en los tiempos de respuesta establecidos por la normatividad vigente y trae como consecuencia incertidumbre en los inversionistas mineros y pérdidas por concepto de recaudo de canon superficiario, entre otras. El objetivo del presente trabajo de investigación consiste en analizar el proceso de titulación minera de Colombia a partir de la filosofía de mejora continua desarrollado en la teoría de restricciones TOC (Theory Of Constraints), para poder identificar cuáles son los cuellos de botella que no permiten que el proceso fluya de manera adecuada y proponer alternativas de mejora, que con su implementación exploten y subordinen la limitaciones al sistema.