Closure of the Monte Carlo dynamical equation in the spherical Sherrington-Kirkpatrick model

We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables (like the energy) and two-time observables (like the correlation and response function) are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass.

Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect

We show how macroscopic manifestations of P (and T) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a nonzero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast to the fact that the cross sections for both scattering and bremsstrahlung (soft-photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the quantum Hall effect, a result that we relate to the validity of the mean-field approximation.

Semiclassical back reaction in the formation of a straight cosmic string

We derive the back reaction on the gravitational field of a straight cosmic string during its formation due to the gravitational coupling of the string to quantum matter fields. A very simple model of string formation is considered. The gravitational field of the string is computed in the linear approximation. The vacuum expectation value of the stress tensor of a massless scalar quantum field coupled to the string gravitational field is computed to one loop order. Finally, the back-reaction effect is obtained by solving perturbatively the semiclassical Einsteins equations.

Detection of scalar gravitational waves with a hollow spherical antenna

We study the response and cross sections for the absorption of GW energy generated in a Jordan-Brans-Dicke theory by a resonant mass detector shaped as a hollow sphere. As a source of the GW we take a binary system in the Newtonian approximation. For masses of the stars of the order of the solar mass, the emitted GW sweeps a range of frequencies which include the first resonant mode of the detector.

Induced quantum metric fluctuations and the validity of semiclassical gravity

We propose a criterion for the validity of semiclassical gravity (SCG) which is based on the stability of the solutions of SCG with respect to quantum metric fluctuations. We pay special attention to the two-point quantum correlation functions for the metric perturbations, which contain both intrinsic and induced fluctuations. These fluctuations can be described by the Einstein-Langevin equation obtained in the framework of stochastic gravity. Specifically, the Einstein-Langevin equation yields stochastic correlation functions for the metric perturbations which agree, to leading order in the large N limit, with the quantum correlation functions of the theory of gravity interacting with N matter fields. The homogeneous solutions of the Einstein-Langevin equation are equivalent to the solutions of the perturbed semiclassical equation, which describe the evolution of the expectation value of the quantum metric perturbations. The information on the intrinsic fluctuations, which are connected to the initial fluctuations of the metric perturbations, can also be retrieved entirely from the homogeneous solutions. However, the induced metric fluctuations proportional to the noise kernel can only be obtained from the Einstein-Langevin equation (the inhomogeneous term). These equations exhibit runaway solutions with exponential instabilities. A detailed discussion about different methods to deal with these instabilities is given. We illustrate our criterion by showing explicitly that flat space is stable and a description based on SCG is a valid approximation in that case.

Cosmological perturbations from stochastic gravity

In inflationary cosmological models driven by an inflaton field the origin of the primordial inhomogeneities which are responsible for large-scale structure formation are the quantum fluctuations of the inflaton field. These are usually calculated using the standard theory of cosmological perturbations, where both the gravitational and the inflaton fields are linearly perturbed and quantized. The correlation functions for the primordial metric fluctuations and their power spectrum are then computed. Here we introduce an alternative procedure for calculating the metric correlations based on the Einstein-Langevin equation which emerges in the framework of stochastic semiclassical gravity. We show that the correlation functions for the metric perturbations that follow from the Einstein-Langevin formalism coincide with those obtained with the usual quantization procedures when the scalar field perturbations are linearized. This method is explicitly applied to a simple model of chaotic inflation consisting of a Robertson-Walker background, which undergoes a quasi-de Sitter expansion, minimally coupled to a free massive quantum scalar field. The technique based on the Einstein-Langevin equation can, however, deal naturally with the perturbations of the scalar field even beyond the linear approximation, as is actually required in inflationary models which are not driven by an inflaton field, such as Starobinsky¿s trace-anomaly driven inflation or when calculating corrections due to nonlinear quantum effects in the usual inflaton driven models.

Classical cross sections for relativistic spinning particles

We propose a definition of classical differential cross sections for particles with essentially nonplanar orbits, such as spinning ones. We give also a method for its computation. The calculations are carried out explicitly for electromagnetic, gravitational, and short-range scalar interactions up to the linear terms in the slow-motion approximation. The contribution of the spin-spin terms is found to be at best 10-6 times the post-Newtonian ones for the gravitational interaction.

Indice d'aptitude général et indice de compétences cognitives pour le WISC-IV: Normes empiriques vs. normes statistiques

L'indice d'aptitude général (IAG) a été développé dans le WISC-III pour estimer le niveau cognitif général. Il s'agissait de proposer une alternative au QI Total. Plus récemment, l'indice de compétence cognitive (ICC) a été proposé. Jusqu'à il y a peu, seules les normes américaines de ces indices étaient disponibles ; les normes franc ̧ aises IAG et ICC pour le WISC-IV ont été récemment développées à partir d'une procédure d'approximation statistique. Toutefois, les normes développées de cette manière seraient moins appro- priées que les normes construites sur la base d'un échantillon. Cette étude vise à comparer les normes IAG et ICC développées à partir d'une procédure d'approximation statistique à celles créées à partir d'un échantillon de 182 enfants âgés de huit à 12 ans. Les corrélations entre les deux types de normes sont de 0,997 pour IAG et de 0,999 pour ICC ; les différences absolues moyennes sont respectivement de 5,38 et de 2,24 points pour IAG et ICC. Enfin, pour les enfants présentant un score IAGS inférieur à 89, les normes IAGE semblent indiquer que leurs compétences seraient inférieures d'environ 8-10 points à celui indiqué par le score IAGS. Les résultats de cette étude indiquent que les scores IAG et ICC peuvent constituer des informations utiles sur les capacités cognitives de l'enfant.

Continued fraction solution for the radiative transfer equation in three dimensions

Starting from the radiative transfer equation, we obtain an analytical solution for both the free propagator along one of the axes and an arbitrary phase function in the Fourier-Laplace domain. We also find the effective absorption parameter, which turns out to be very different from the one provided by the diffusion approximation. We finally present an analytical approximation procedure and obtain a differential equation that accurately reproduces the transport process. We test our approximations by means of simulations that use the Henyey-Greenstein phase function with very satisfactory results.

Bilateral anterior pubic osteotomy in bladder exstrophy closure.

PURPOSE: We report our clinical experience with anterior pelvic osteotomy in 16 patients who underwent surgery for bladder exstrophy. The technique and its difficulties are discussed. MATERIALS AND METHODS: Anterior pelvic osteotomy of the superior ramus of the public bone is a simple and efficient method to facilitate symphyseal approximation and abdominal wall closure without or with low tension on the suture lines in neonates who undergo surgery for bladder exstrophy. Older children in whom surgery has been delayed can also benefit from this method. Compared to other methods of osteotomy in exstrophy surgery it does not require additional incisions, nor does the patient need to be repositioned on the operating table. A successful operation does not depend on any particular orthopedic skills and it can easily be done by the pediatric urologist. RESULTS: Immediate postoperative results regarding abdominal wall closure were excellent in all 16 patients. However, major postoperative complications developed in 2 patients. Despite antibiotic prophylaxis a severe soft tissue infection developed in 1 child, resulting in complete bladder dehiscence. In another patient an obturator nerve injury resulted in transient palsy, which resolved completely. While the first complication was not related to osteotomy, the second was osteotomy related. CONCLUSIONS: Bilateral superior ramotomy of the pubic bones is a new alternative, easily performed technique to optimize bladder exstrophy surgery in children.

Damage spreading transition in glasses: A probe for the ruggedness of the configurational landscape

We consider damage spreading transitions in the framework of mode-coupling theory. This theory describes relaxation processes in glasses in the mean-field approximation which are known to be characterized by the presence of an exponentially large number of metastable states. For systems evolving under identical but arbitrarily correlated noises, we demonstrate that there exists a critical temperature T0 which separates two different dynamical regimes depending on whether damage spreads or not in the asymptotic long-time limit. This transition exists for generic noise correlations such that the zero damage solution is stable at high temperatures, being minimal for maximal noise correlations. Although this dynamical transition depends on the type of noise correlations, we show that the asymptotic damage has the good properties of a dynamical order parameter, such as (i) independence of the initial damage; (ii) independence of the class of initial condition; and (iii) stability of the transition in the presence of asymmetric interactions which violate detailed balance. For maximally correlated noises we suggest that damage spreading occurs due to the presence of a divergent number of saddle points (as well as metastable states) in the thermodynamic limit consequence of the ruggedness of the free-energy landscape which characterizes the glassy state. These results are then compared to extensive numerical simulations of a mean-field glass model (the Bernasconi model) with Monte Carlo heat-bath dynamics. The freedom of choosing arbitrary noise correlations for Langevin dynamics makes damage spreading an interesting tool to probe the ruggedness of the configurational landscape.

An AdS/QCD model from tachyon condensation: II

A simple holographic model is presented and analyzed that describes chiral symmetry breaking and the physics of the meson sector in QCD. This is a bottom-up model that incorporates string theory ingredients like tachyon condensation which is expected to be the main manifestation of chiral symmetry breaking in the holographic context. As a model for glue the Kuperstein-Sonnenschein background is used. The structure of the flavor vacuum is analyzed in the quenched approximation. Chiral symmetry breaking is shown at zero temperature. Above the deconfinement transition chiral symmetry is restored. A complete holographic renormalization is performed and the chiral condensate is calculated for different quark masses both at zero and non-zero temperatures. The 0++, 0¿+, 1++, 1¿¿ meson trajectories are analyzed and their masses and decay constants are computed. The asymptotic trajectories are linear. The model has one phenomenological parameter beyond those of QCD that affects the 1++, 0¿+ sectors. Fitting this parameter we obtain very good agreement with data. The model improves in several ways the popular hard-wall and soft wall bottom-up models.

On the spinning axis representation

A new spinning axis representation is introduced. It allows us to calculate the evolution operator of a system with slowly varying time dependent Hamiltonian with the desired degree of approximation in the parameter used for describing its dynamical evolution. The procedure is compared with a previously existing one and applied to a simple example.

Quantum critical effects in mean-field glassy systems

We consider the effects of quantum fluctuations in mean-field quantum spin-glass models with pairwise interactions. We examine the nature of the quantum glass transition at zero temperature in a transverse field. In models (such as the random orthogonal model) where the classical phase transition is discontinuous an analysis using the static approximation reveals that the transition becomes continuous at zero temperature.

Hydrogen isotope fractionations between amphiboles, micas, and fluids in alkaline igneous intrusions

RÉSUMÉ DE LA THÈSE Les teneurs des amphiboles en éléments majeurs et en isotopes stables ont été analysées dans plusieurs complexes ignés alcalins et hyperalcalins, dans le but de déterminer l'importance des variations de composition des minéraux pour le fractionnement isotopique de l'hydrogène dans un système naturel minéral-magma-fluide. Cette étude se concentre principalement sur les syénites néphéliniques de complexes intrusifs alcalins bien connus mais à chimie variable, dont les amphiboles, ainsi que d'autres silicates hydratés tels que micas et eudialytes, lorsque cela était possible, ont été séparés. L'intérêt principal s'est porté sur le complexe alcalin d'Ilímaussaq de la Province du Gardar, au Sud du Groenland. Dans une optique de comparaison, nous avons collecté et analysé d'autres échantillons provenant du complexe de Tugtutôq (Sud Groenland), des complexes de Khibina et Lovozero (Péninsule de Kola, Russie), du Mont St-Hilaire et du Mont Royal (Canada) et de 6 autres du nord-ouest de la Namibie (Cape Cross, Okenyenya, Messum, Etaneno, Kalkfeld,et Okorusu). Les compositions isotopiques de l'hydrogène des amphiboles des ces différentes zones présentent de grandes variations (-227 à -700/00), ce qui est atypique pour des magmas d'origine mantellique. Les valeurs comprises entre -80 et -400/00 indiquent une provenance du manteau. Ces larges variations de compositions ainsi que l'extrême appauvrissement en isotope lourd de l'hydrogène (D), en comparaison avec d'autres roches ignées, semblent être propres.aux roches alcalines et hyperalcalines de ce type, ce qui indiquerait un processus commun. Les différents complexes alcalins choisis présentent un large intervalle de composition chimique des amphiboles. La caractérisation des amphiboles par microscopie électronique et par spectroscopie Mössbauer contribuent à observer le contrôle du Fe sur le fractionnement des isotopes de l'hydrogène. En effet, cela a mis en évidence un contrôle du Fe sur le fractionnement et même, dans le cas du complexe hyperalcalin d'Ilímaussaq, une relation entre le rapport Fei3+/FeT et les variations du rapport D/H. Les complexes étudiés diffèrent de par leur index agpaïtique (Na+K/Al) et également de par leur contenu en fer. Les plus hautes valeurs en Fe (27-35 wt%) et en éléments alcalins dans les amphiboles, ainsi que les teneurs de D/H les plus basses et leur grande variation, sont celles du complexe d'Ilímaussaq. Les amphiboles de la Péninsule de Kola et du Canada sont similaires, mais toutefois moins appauvries en D. En ce qui concerne les amphiboles des complexes du NO de la Namibie, elles présentent des compositions isotopiques de l'hydrogène magmatiques normales (-73 à -100 0/00), contiennent moins de Fe (15-17 wt%) et sont fortement enrichies en Ca et moins en Na. Dans ce cas, l'alcalinité est moins importante en comparaison des autres complexes étudiés. En dehors des teneurs en éléments alcalins des amphiboles, l'alcalinité des fluides s'avère également un facteur important, ce qui est cohérent avec certaines suggestions à partir de systèmes expérimentaux. Afin de mieux contraindre ce facteur, des expériences d'échanges hydrothermaux entre les amphiboles et les fluides de salinité différente ont été effectuées en simulant des conditions naturelles. L'approximation d'amphiboles naturelles de complexes ignés alcalins, couplée aux expériences d'échange, aide à préciser les facteurs contrôlant le fractionnement des isotopes de l'hydrogène dans les roches alcalines. Les valeurs extrêmement basses de 3D des amphiboles de ces complexes alcalins peuvent être dues à une combinaison de différents facteurs, telles qu'une haute alcalinité, une haute teneur en Fe et une faible profondeur d'intrusion. Les grandes variations ainsi que les faibles valeurs de SD des amphiboles étudiées peuvent résulter d'un processus magmatique interne et il est peu probable que de l'eau météorique soit impliquée et/ou que le dégazage magmatique ait joué un rôle. THESIS ABSTRACT Major element and stable isotope compositions of amphiboles were analyzed from a number of alkaline and peralkaline igneous complexes in order to determine the importance of compositional variations in minerals to hydrogen isotope fractionations in natural mineral-melt-fluid systems. The thesis mainly focuses on nepheline syenites of well-studied, but chemically variable alkaline intrusive rocks, from which amphiboles and, if possible, other hydrous silicates such as micas and eudialytes were separated. The system of primary interest was the alkaline Ilímaussaq Complex of the Gardar Province of South Greenland. For the purpose of comparison additional samples were collected and examined from the Tugtutôq Complex (South Greenland), the Khibina and Lovozero Complexes (Kola Peninsular, Russia), Mount St-Hilaire and Mount Royal (Canada) and six further complexes from NW Namibia (Cape Cross, Okenyenya, Messum, Etaneno, Kalkfeld, and Okorusu). The hydrogen isotope compositions of amphiboles from the localities studied differ greatly, which is atypical for amphiboles from mantle, range between - 227 and - 700/00 (latter compatible with a simple mantle origin). As this wide range in compositions and the extreme depletion in the heavy hydrogen isotope (D) content relative to other igneous rocks appear to be unique to alkaline to peralkaline rocks of this type, a common process is indicated. The different alkaline complexes chosen cover a wide range of amphibole chemical compositions. Detailed chemical characterization of amphiboles by electron microprobe and Mössbauer spectroscopy analyses helped to constrain the control of Fe on the H-isotope fractionations. Complete characterization of the chemical compositions of the amphiboles support Fe-control on fractionations and at least for the peralkaline Ilímaussaq complex a relationship between Fe3+/FeT ratios and variations in D/H. The studied complexes differ in their agpaitic index (Na+K/Al) and also in their Fe-content. The most iron (27-35 wt. %) and alkaline element rich amphiboles, with the lowermost D/H ratio, as well with very wide range, are the ones from Ilímaussaq complex. Similar, but less D depleted amphiboles are from the Kola Peninsula and the Canadian localities. The complexes described from NW Namibia have amphiboles with normal magmatic hydrogen isotope composition (-730/00 to -1000/00), and have less Fe-content (15-17 wt. %), and are more Ca-and less Na-rich. In this case alkalinity is not that important in comparison to the other studied complexes. Beside the alkaline element contents in the amphiboles, the alkalinity of the fluids has been found to be an important factor, in conjunction with earlier suggestions from experimental systems. To further constrain this factor, hydrothermal exchange experiments between amphiboles and fluids of different salinity simulating natural conditions were performed. The approach of examining natural amphiboles from alkaline igneous complexes in parallel to performing exchange experiments - helped to further constrain the factors controlling the H-isotope fractionations in alkaline rocks. The observed changes between the hydrogen and oxygen isotope compositions of amphiboles and fluids before and after the experiments suggest that another phase was produced during the experiments, which influenced the final hydrogen isotope composition of the system. This presumably hydrous phase has also influenced the Fe3 +/Fe2+ ratio of the amphiboles, which became more oxidized. The extremely low SD values of amphiboles in these alkaline complexes may be due to a combination of different factors such as high alkalinity, high Fe-content, and shallow intrusion depths. This wide range and the low SD values of the amphiboles studied might be a result of internal, magmatic processes and it is unlikely that meteoric water was involved and/or magmatic degassing played an important role. RÉSUMÉ DE LA THÈSE (pour le grand public) Fractionnement isotopique de l'hydrogène entre amphiboles, micas et fluides dans des intrusions alcalines Zsófia Wáczek Directeur de thèse, Prof. Torsten W. Vennemann Institut de Minéralogie et Géochimie, Université de Lausanne Les roches alcalines et celles qui leurs sont associées sont des sources importantes de nombreux minéraux et minerais, tels l'apatite, le niobium, le diamant et autres pierres précieuses. Cette étude se concentre sur des complexes alcalins localisés dans le sud du Groenland, au Canada, dans la péninsule de Kola en Russie et au nord-ouest de la Namibie. Ces complexes sont composés de roches ayant cristallisé à partir de magmas et de fluides très enrichis en alcalins. Cet enrichissement permet la précipitation de minéraux inhabituels riches en potassium et/ou sodium, telles les amphiboles sodiques, également enrichies en fer. Les amphiboles étudiées ont des compositions calciques, sodi-calciques et sodiques, qui reflètent leurs différents environnements de formation. Des études précédentes ont révélé une large gamme de rapports isotopiques de l'hydrogène dans les amphiboles de roches hyperalcalines, dont certains extrêmement bas. Cette variation importante est très intrigante, sachant que des valeurs entre -40 et -800/00 correspondent à des silicates ignés hydratés et non altérés, alors que des valeurs descendant jusqu'a -1500/00 nécessiteraient une altération par de l'eau météorique et/ou une contamination par les roches environnantes ou des sédiments riches en matière organique. Dans lé cas précis du complexe d'Ilímaussaq (sud du Groenland), aucune de ces explications n'a pu être démontrée et des valeurs encore plus faibles ont été trouvées. Le complexe d'Ilímaussaq présente des valeurs de rapport isotopique de l'hydrogène entre -227 et -500/00 dans les amphiboles. Une origine mantellique permet d'expliquer les valeurs élevées, mais d'autres processus doivent entrer en jeu pour engendrer les valeurs les plus négatives. C'est à l'identification de ces processus que nous nous sommes attachés dans ce travail. Les grandes variations observées dans les teneurs en fer et dans le rapport Fe3+/FeT des roches et des minéraux de ces complexes sont corrélées avec d'autres paramètres chimiques, tels que la composition isotopique de l'hydrogène dans les amphiboles. Nous avons dès lors abordé les questions suivantes: quelle est la relation entre la teneur en fer des amphiboles et leur composition isotopique? Que nous apprennent les changements de la teneur en fer et les changements dans le rapport Fe3+/FeT sur les processus pétrologiques dans ces roches? Pour répondre à ces questions, nous avons analysé les compositions isotopiques de l'oxygène et de l'hydrogène dans les amphiboles et d'autres silicates hydratés. La composition chimique et le rapport Fe3+/FeT des amphiboles ont également été déterminés. Des expériences hydrothermales simulant des conditions naturelles ont été entreprises afin de mieux comprendre les processus de fractionnement isotopiques dans ces systèmes très alcalins. Nos conclusions sont les suivantes: (1) Les valeurs extrêmement faibles ainsi que les larges variations des rapports isotopiques de l'hydrogène des amphiboles de ces complexes alcalins sont dues à une combinaison de facteurs tels que la forte alcalinité, la haute teneur en fer et la profondeur très faible de l'intrusion. (2) Ces valeurs sont probablement le résultat de processus magmatiques internes. (3) Il est peu probable que les eaux météoriques et/ou le dégazage magmatique aient joué un rôle lors de la formation de ces amphiboles. (4) Certaines corrélations, en accord avec les études précédentes, ont pu être trouvées au niveau des concentrations en fer. (5) Dans le cas du complexe d'Ilímaussaq exclusivement, une relation a été trouvée entre le rapport Fe3+/FeT et la composition isotopique de l'hydrogène des amphiboles.