Lagrangian and Hamiltonian BRST structures of the antysimmetric tensor gauge theory

We study the Becchi-Rouet-Stora-Tyutin (BRST) structure of a self-interacting antisymmetric tensor gauge field, which has an on-shell null-vector gauge transformation. The Batalin-Vilkovisky covariant general formalism is briefly reviewed, and the issue of on-shell nilpotency of the BRST transformation is elucidated. We establish the connection between the covariant and the canonical BRST formalisms for our particular theory. Finally, we point out the similarities and differences with Wittens string field theory.

Kinematically complete analysis of the CLAS data on the proton structure Function F2 in a Regge-Dual model

The recently measured inclusive electron-proton cross section in the nucleon resonance region, performed with the CLAS detector at the Thomas Jefferson Laboratory, has provided new data for the nucleon structure function F2 with previously unavailable precision. In this paper we propose a description of these experimental data based on a Regge-dual model for F2. The basic inputs in the model are nonlinear complex Regge trajectories producing both isobar resonances and a smooth background. The model is tested against the experimental data, and the Q2 dependence of the moments is calculated. The fitted model for the structure function (inclusive cross section) is a limiting case of the more general scattering amplitude equally applicable to deeply virtual Compton scattering. The connection between the two is discussed.

Energy and structure of dilute hard- and soft-sphere gases

The energy and structure of dilute hard- and soft-sphere Bose gases are systematically studied in the framework of several many-body approaches, such as the variational correlated theory, the Bogoliubov model, and the uniform limit approximation, valid in the weak-interaction regime. When possible, the results are compared with the exact diffusion Monte Carlo ones. Jastrow-type correlation provides a good description of the systems, both hard- and soft-spheres, if the hypernetted chain energy functional is freely minimized and the resulting Euler equation is solved. The study of the soft-sphere potentials confirms the appearance of a dependence of the energy on the shape of the potential at gas paremeter values of x~0.001. For quantities other than the energy, such as the radial distribution functions and the momentum distributions, the dependence appears at any value of x. The occurrence of a maximum in the radial distribution function, in the momentum distribution, and in the excitation spectrum is a natural effect of the correlations when x increases. The asymptotic behaviors of the functions characterizing the structure of the systems are also investigated. The uniform limit approach is very easy to implement and provides a good description of the soft-sphere gas. Its reliability improves when the interaction weakens.

Semiclassical coupled wave theory and its application to TE waves in one dimensional crystals

A semiclassical coupled-wave theory is developed for TE waves in one-dimensional periodic structures. The theory is used to calculate the bandwidths and reflection/transmission characteristics of such structures, as functions of the incident wave frequency. The results are in good agreement with exact numerical simulations for an arbitrary angle of incidence and for any achievable refractive index contrast on a period of the structure.

The influence of the symmetry energy on the giant monopole resonance of neutron-rich nuclei analyzed in Thomas-Fermi theory

We analyze the influence of the density dependence of the symmetry energy on the average excitation energy of the isoscalar giant monopole resonance (GMR) in stable and exotic neutron-rich nuclei by applying the relativistic extended Thomas-Fermi method in scaling and constrained calculations. For the effective nuclear interaction, we employ the relativistic mean field model supplemented by an isoscalar-isovector meson coupling that allows one to modify the density dependence of the symmetry energy without compromising the success of the model for binding energies and charge radii. The semiclassical estimates of the average energy of the GMR are known to be in good agreement with the results obtained in full RPA calculations. The present analysis is performed along the Pb and Zr isotopic chains. In the scaling calculations, the excitation energy is larger when the symmetry energy is softer. The same happens in the constrained calculations for nuclei with small and moderate neutron excess. However, for nuclei of large isospin the constrained excitation energy becomes smaller in models having a soft symmetry energy. This effect is mainly due to the presence of loosely-bound outer neutrons in these isotopes. A sharp increase of the estimated width of the resonance is found in largely neutron-rich isotopes, even for heavy nuclei, which is enhanced when the symmetry energy of the model is soft. The results indicate that at large neutron numbers the structure of the low-energy region of the GMR strength distribution changes considerably with the density dependence of the nuclear symmetry energy, which may be worthy of further characterization in RPA calculations of the response function.

Perturbation theory for classical thermodynamic Green's functions

A systematic time-dependent perturbation scheme for classical canonical systems is developed based on a Wick's theorem for thermal averages of time-ordered products. The occurrence of the derivatives with respect to the canonical variables noted by Martin, Siggia, and Rose implies that two types of Green's functions have to be considered, the propagator and the response function. The diagrams resulting from Wick's theorem are "double graphs" analogous to those introduced by Dyson and also by Kawasaki, in which the response-function lines form a "tree structure" completed by propagator lines. The implication of a fluctuation-dissipation theorem on the self-energies is analyzed and compared with recent results by Deker and Haake.

Static structure and dynamics of the liquid Li-Na and Li-Mg alloys

We present calculations for the static structure and ordering properties of two lithium-based s-p bonded liquid alloys, Li-Na and Li-Mg. Our theoretical approach is based on the neutral pseudoatom method to derive the interatomic pair potentials, and on the modified-hypernetted-chain theory of liquids to obtain the liquid static structure, leading to a whole combination that is free of adjustable parameters. The study is complemented by performing molecular dynamics simulations which, besides checking the theoretical static structural results, also allow a calculation of some dynamical properties. The obtained results are compared with the available experimental data.

Fine structure of the vaccinia virus gene encoding the precursor of the major core protein 4 a.

A 6008 base pair fragment of the vaccinia virus DNA containing the gene for the precursor of the major core protein 4 a, which has been designated P4 a, was sequenced. A long open reading frame (ORF) encoding a protein of molecular weight 102,157 started close to the position where the P4 a mRNA had been mapped. Analysis of the mRNA by S1 nuclease mapping and primer extension indicated that the 5' end defined by the former method is not the true 5' end. This suggests that the P4 a coding region is preceded by leader sequences that are not derived from the immediate vicinity of the gene, similar to what has been reported for another late vaccinia virus mRNA. The sequenced DNA contained several further ORFs on the same, or opposite DNA strand, providing further evidence for the close spacing of protein-coding sequences in the viral genome.

Resonating-valence-bond theory for the square-planar lattice

The short-range resonating-valence-bond (RVB) wave function with nearest-neighbor (NN) spin pairings only is investigated as a possible description for the Heisenberg model on a square-planar lattice. A type of long-range order associated to this RVB Ansatz is identified along with some qualitative consequences involving lattice distortions, excitations, and their coupling.

Estimation of the correlation structure of crustal velocity heterogeneity from seismic reflection data

Numerous sources of evidence point to the fact that heterogeneity within the Earth's deep crystalline crust is complex and hence may be best described through stochastic rather than deterministic approaches. As seismic reflection imaging arguably offers the best means of sampling deep crustal rocks in situ, much interest has been expressed in using such data to characterize the stochastic nature of crustal heterogeneity. Previous work on this problem has shown that the spatial statistics of seismic reflection data are indeed related to those of the underlying heterogeneous seismic velocity distribution. As of yet, however, the nature of this relationship has remained elusive due to the fact that most of the work was either strictly empirical or based on incorrect methodological approaches. Here, we introduce a conceptual model, based on the assumption of weak scattering, that allows us to quantitatively link the second-order statistics of a 2-D seismic velocity distribution with those of the corresponding processed and depth-migrated seismic reflection image. We then perform a sensitivity study in order to investigate what information regarding the stochastic model parameters describing crustal velocity heterogeneity might potentially be recovered from the statistics of a seismic reflection image using this model. Finally, we present a Monte Carlo inversion strategy to estimate these parameters and we show examples of its application at two different source frequencies and using two different sets of prior information. Our results indicate that the inverse problem is inherently non-unique and that many different combinations of the vertical and lateral correlation lengths describing the velocity heterogeneity can yield seismic images with the same 2-D autocorrelation structure. The ratio of all of these possible combinations of vertical and lateral correlation lengths, however, remains roughly constant which indicates that, without additional prior information, the aspect ratio is the only parameter describing the stochastic seismic velocity structure that can be reliably recovered.

A characterization of a new value and an existing value for cooperative games with levels structure of cooperation

En aquest treball presentem dues caracteritzacions de dos valors diferents en el marc dels jocs coalicionals amb cooperació restringida. Les restriccions són introduïdes com una seqüència finita de particions del conjunt del jugadors, de manera que cada una d'elles eés més grollera que l'anterior, formant així una estructura amb diferents nivells d'unions a priori.

The genetic structure of metapopulations and conservation biology.

A range of models describing metapopulations is surveyed and their implications for conservation biology are described. An overview of the use of both population genetic elements and demographic theory in metapopulation models is given. It would appear that most of the current models suffer from either the use of over-simplified demography or the avoidance of selectively important genetic factors. The scale for which predictions are made by the various models is often obscure. A conceptual framework for describing metapopulations by utilising the concept of fitness of local populations is provided and some examples are given. The expectation that any general theory, such as that of metapopulations, can make useful predictions for particular problems of conservation is examined and compared with the prevailing 'state of the art' recommendations.

Géopatrimoines des trois Chablais. Identification et valorisation des témoins glaciaires

Cette recherche s'applique aux témoins glaciaires des Chablais dans quatre de leurs dimensions : géopatrimoine, connaissance objective, inventaire de géosites et valorisation. Elle est organisée sur le canevas d'un processus de patrimonialisation auquel elle participe et qu'elle interroge à la fois. En 2009, débutait le projet 123 Chablais, pour une durée de quatre ans. Il concernait l'ensemble du territoire chablaisien, réparti sur deux pays (France et Suisse) et trois entités administratives (département de la Haute-Savoie, cantons de Vaud et du Valais). Ce projet, élaboré dans le cadre du programme Interreg IV France-Suisse, avait pour but de dynamiser le développement économique local en s'appuyant sur les patrimoines régionaux. Le géopatrimoine, identifié comme une de ces ressources, faisait donc l'objet de plusieurs actions, dont cette recherche. En parallèle, le Chablais haut-savoyard préparait sa candidature pour rejoindre l'European Geopark Network (EGN). Son intégration, effective dès 2012, a fait de ce territoire le cinquième géoparc français du réseau. Le Geopark du Chablais fonde son identité géologique sur l'eau et la glace, deux thématiques intimement liées aux témoins glaciaires. Dans ce contexte d'intérêt pour le géopatrimoine local et en particulier pour le patrimoine glaciaire, plusieurs missions ont été assignées à cette recherche qui devait à la fois améliorer la connaissance objective des témoins glaciaires, inventorier les géosites glaciaires et valoriser le patrimoine glaciaire. Le premier objectif de ce travail était d'acquérir une vision synthétique des témoins glaciaires. Il a nécessité une étape de synthèse bibliographique ainsi que sa spatialisation, afin d'identifier les lacunes de connaissance et la façon dont ce travail pouvait contribuer à les combler. Sur cette base, plusieurs méthodes ont été mises en oeuvre : cartographie géomorphologique, reconstitution des lignes d'équilibre glaciaires et datations de blocs erratiques à l'aide des isotopes cosmogéniques produits in situ. Les cartes géomorphologiques ont été élaborées en particulier dans les cirques et vallons glaciaires. Les datations cosmogéniques ont été concentrées sur deux stades du glacier du Rhône : le Last Local Glacial Maximum (LLGM) et le stade de Monthey. Au terme de cette étape, les spécificités du patrimoine glaciaire régional se sont révélées être 1) une grande diversité de formes et des liens étroits avec différents autres processus géomorphologiques ; 2) une appartenance des témoins glaciaires à dix grandes étapes de la déglaciation du bassin lémanique. Le second objectif était centré sur le processus d'inventaire des géosites glaciaires. Nous avons mis l'accent sur la sélection du géopatrimoine en développant une approche basée sur deux axes (temps et espace) identifiés dans le volet précédent et avons ainsi réalisé un inventaire à thèmes, composé de 32 géosites. La structure de l'inventaire a également été explorée de façon à intégrer des critères d'usage de ces géosites. Cette démarche, soutenue par une réflexion sur les valeurs attribuées au géopatrimoine et sur la façon d'évaluer ces valeurs, nous a permis de mettre en évidence le point de vue anthropo - et scientifico - centré qui prévaut nettement dans la recherche européenne sur le géopatrimoine. L'analyse des résultats de l'inventaire a fait apparaître quelques caractéristiques du patrimoine glaciaire chablaisien, discret, diversifié, et comportant deux spécificités exploitables dans le cadre d'une médiation scientifique : son statut de « berceau de la théorie glaciaire » et ses liens étroits avec des activités de la vie quotidienne, en tant que matière première, support de loisir ou facteur de risque. Cette recherche a débouché sur l'élaboration d'une exposition itinérante sur le patrimoine glaciaire des Chablais. Ce produit de valorisation géotouristique a été conçu pour sensibiliser la population locale à l'impact des glaciers sur son territoire. Il présente une série de sept cartes de stades glaciaires, encadrées par les deux mêmes thématiques, l'histoire de la connaissance glaciaire d'une part, les témoins glaciaires et la société, d'autre part. -- This research focuses on glacial witnesses in the Chablais area according to four dimensions : geoheritage, objective knowledge, inventory and promotion of geosites. It is organized on the model of an heritage's process which it participates and that it questions both. In 2009, the project 123 Chablais started for a period of four years. It covered the entire chablaisien territory spread over two countries and three administrative entities (département of Haute-Savoie, canton of Vaud, canton of Valais). This project, developed in the framework of the Interreg IV France-Switzerland program, aimed to boost the local development through regional heritage. The geoheritage identified as one of these resources, was therefore the subject of several actions, including this research. In parallel, the French Chablais was preparing its application to join the European Geopark Network (EGN). Its integration, effective since 2012, made of this area the fifth French Geopark of the network. The Chablais Geopark geological identity was based on water and ice, two themes closely linked to the glacial witnesses. In this context of interest for the regional geoheritage and especially for the glacial heritage, several missions have been assigned to this research which should improve objective knowledge of glacial witnesses, inventory and assess glacial geosites. The objective knowledge's component was to acquire a synthetic vision of the glacial witnesses. It required a first bibliography synthesis step in order to identify gaps in knowledge and how this work could help to fill them. On this basis, several methods have been implemented: geomorphological mapping, reconstruction of the equilibrium-line altitude and dating of glacial erratic blocks using cosmogenic isotopes produced in situ. Geomorphological maps have been developed especially in glacial cirques and valleys. Cosmogenic datings were concentrated on two stages of the Rhone glacier: the Last Local Glacial Maximum (LLGM) and « the stage of Monthey ». After this step, the specificities of the regional glacial heritage have emerged to us as 1) a wide variety of forms and links to various other geomorphological processes; 2) belonging of glacial witnesses to ten major glacial stages of Léman Lake's deglaciation. In the inventory of glacial geosites component we focused on the selection of geoheritage. We developed an approach based on two axes (time and space) identified in the preceding components. We obtained a thematic inventory, consisting of 32 geosites. The structure of the inventory was also explored in the aim to integrate use criteria of geosites. This approach, supported by a thought on the values attributed to the geoheritage and how to assess these values allowed us to highlight the point of view much anthropological - and scientific -centered prevailing in the European research on geoheritage. The analysis of the inventory's results revealed some characteristics of chablaisien glacial heritage, discrete, diverse, and with two features exploitable in the context of a scientific mediation: its status as « cradle of the glacial theory » and its close links with activities of daily life, as raw material, leisure support and risk factor. This research leads to the development of a traveling exhibition on the glacial heritage of the Chablais area. It presents a series of seven glacial stage's cards, framed by the two themes mentioned above: « history of glacial knowledge » and « glacial witnesses and society ».