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.

Temporary effect of chiseling on the compaction of a Rhodic Hapludox under no-tillage

Mechanical chiseling has been used to alleviate the effects of compaction in soils under no-tillage (NT). However, its effect on the soil physical properties does not seem to have a defined duration period. The purpose of this study was to evaluate the behavior of the bulk density (BD) and degree of compaction (DC) at different soil depths, after chiseling in no-tillage, for one year. The experiment was performed in Ponta Grossa, Paraná State, Brazil, using an Oxisol (Rhodic Hapludox). Bulk density and DC were previously measured in an area under NT for 16 years, then immediately after chiseling (CHI) in May 2009, six months after chiseling (CHI6M) in October 2009 and one year after chiseling (CHI12M) in May 2010. In the layers 0.0-0.10, 0.10-0.20 and 0.20-0.30 m, there was a significant BD reduction CHI and a marked increase CHI6M. The BD values measured CHI12M were similar to those before tillage. Chiseling reduced the DC in the layers 0.0-0.10 m and 0.10-0.20 m, but returned to the initial values one year later. During the evaluation periods CHI, CHI6M and CHI12M, the BD increased in the layer 0.30-0.40 m, compared with NT. The highest DC values were observed six months after chiseling; nevertheless the structural recovery of the soil was considerable, possibly due to the high degree of soil resilience and the influence of the wetting and drying cycles detected in the study period. The chiseling effects, evaluated by BD and DC, lasted less than one year, i.e., the beneficial short-term effects of chiseling on the reduction of the surface BD increased the risk of compaction in deeper soil layers.

Ordered structures in rotating ultracold Bose gases

Two-dimentional systems of trapped samples of few cold bosonic atoms submitted to strong rotation around the perpendicular axis may be realized in optical lattices and microtraps. We investigate theoretically the evolution of ground state structures of such systems as the rotational frequency Omega increases. Various kinds of ordered structures are observed. In some cases, hidden interference patterns exhibit themselves only in the pair correlation function; in some other cases explicit broken-symmetry structures appear that modulate the density. For N < 10 atoms, the standard scenario, valid for large sytems is absent, and is only gradually recovered as N increases. On the one hand, the Laughlin state in the strong rotational regime contains ordered structures much more similar to a Wigner molecule than to a fermionic quantum liquid. On the other hand, in the weak rotational regime, the possibility to obtain equilibrium states, whose density reveals an array of vortices, is restricted to the vicinity of some critical values of the rotational frequency Omega.

Higher order Lagrangian systems: Geometric structures, Dynamics, and Constraints

In order to study the connections between Lagrangian and Hamiltonian formalisms constructed from aperhaps singularhigher-order Lagrangian, some geometric structures are constructed. Intermediate spaces between those of Lagrangian and Hamiltonian formalisms, partial Ostrogradskiis transformations and unambiguous evolution operators connecting these spaces are intrinsically defined, and some of their properties studied. Equations of motion, constraints, and arbitrary functions of Lagrangian and Hamiltonian formalisms are thoroughly studied. In particular, all the Lagrangian constraints are obtained from the Hamiltonian ones. Once the gauge transformations are taken into account, the true number of degrees of freedom is obtained, both in the Lagrangian and Hamiltonian formalisms, and also in all the intermediate formalisms herein defined.

Topographic forcing of flow partition and flow structures at river bifurcations

This paper presents the predicted flow dynamics from the application of a Reynolds-averaged NavierStokes model to a series of bifurcation geometries with morphologies measured during previous flume experiments. The topography of the bifurcations consists of either plane or bedform-dominated beds which may or may not possess discordance between the two bifurcation distributaries. Numerical predictions are compared with experimental results to assess the ability of the numerical model to reproduce the division of flow into the bifurcation distributaries. The hydrodynamic model predicts: (1) diverting fluxes in the upstream channel which direct water into the distributaries; (2) super-elevation of the free surface induced at the bifurcation edge by pressure differences; and (3) counter-rotating secondary circulation cells which develop upstream of the apex of the bifurcation and move into the downstream channels, with water converging at the surface and diverging at the bed. When bedforms are not present, weak transversal fluxes characterize the upstream channel for almost its entire length, associated with clearly distinguishable secondary circulation cells, although these may be under-estimated by the turbulence model used in the solution. In the bedform dominated case, the same hydrodynamic conditions were not observed, with the bifurcation influence restricted and depth scale secondary circulation cells not forming. The results also demonstrate the dominant effect bed discordance has upon flow division between the two distributaries. Finally, results indicate that in bedform dominated rivers. Consequently, we suggest that sand-bed river bifurcations are more likely to have an influence that extends much further upstream and have a greater impact upon water distribution. This may contribute to observed morphological differences between sand-bedded and gravel-bedded braided river networks. Copyright (C) 2012 John Wiley & Sons, Ltd.

Building predictive models of soil particle-size distribution

Is it possible to build predictive models (PMs) of soil particle-size distribution (psd) in a region with complex geology and a young and unstable land-surface? The main objective of this study was to answer this question. A set of 339 soil samples from a small slope catchment in Southern Brazil was used to build PMs of psd in the surface soil layer. Multiple linear regression models were constructed using terrain attributes (elevation, slope, catchment area, convergence index, and topographic wetness index). The PMs explained more than half of the data variance. This performance is similar to (or even better than) that of the conventional soil mapping approach. For some size fractions, the PM performance can reach 70 %. Largest uncertainties were observed in geologically more complex areas. Therefore, significant improvements in the predictions can only be achieved if accurate geological data is made available. Meanwhile, PMs built on terrain attributes are efficient in predicting the particle-size distribution (psd) of soils in regions of complex geology.

Long-range-interactions induced ordered structures in deposition processes

We present a new model of sequential adsorption in which the adsorbing particles experience dipolar interactions. We show that in the presence of these long-range interactions, highly ordered structures in the adsorbed layer may be induced at low temperatures. The new phenomenology is manifest through significant variations of the pair correlation function and the jamming limit, with respect to the case of noninteracting particles. Our study could be relevant in understanding the adsorption of magnetic colloidal particles in the presence of a magnetic field.

Flow structures at an idealized bifurcation : a numerical experiment

River bifurcations are key nodes within braided river systems controlling the flow and sediment partitioning and therefore the dynamics of the river braiding process. Recent research has shown that certain geometrical configurations induce instabilities that lead to downstream mid-channel bar formation and the formation of bifurcations. However, we currently have a poor understanding of the flow division process within bifurcations and the flow dynamics in the downstream bifurcates, both of which are needed to understand bifurcation stability. This paper presents results of a numerical sensitivity experiment undertaken using computational fluid dynamics (CFD) with the purpose of understanding the flow dynamics of a series of idealized bifurcations. A geometric sensitivity analysis is undertaken for a range of channel slopes (0.005 to 0.03), bifurcation angles (22 degrees to 42 degrees) and a restricted set of inflow conditions based upon simulating flow through meander bends with different curvature on the flow field dynamics through the bifurcation. The results demonstrate that the overall slope of the bifurcation affects the velocity of flow through the bifurcation and when slope asymmetry is introduced, the flow structures in the bifurcation are modified. In terms of bifurcation evolution the most important observation appears to be that once slope asymmetry is greater than 0.2 the flow within the steep bifurcate shows potential instability and the potential for alternate channel bar formation. Bifurcation angle also defines the flow structures within the bifurcation with an increase in bifurcation angle increasing the flow velocity down both bifurcates. However, redistributive effects of secondary circulation caused by upstream curvature can very easily counter the effects of local bifurcation characteristics. Copyright (C) 2011 John Wiley & Sons, Ltd.

Data Download, Building Better Programs, Iowa Department of Corrections, August 2011

Beginning in 2006, the Iowa Department of Corrections embarked on a systematic offender program audit at each of the state’s institutions and community-based corrections agencies, the purpose of which was to determine each program’s effectiveness as supported by results and research (evidence-based practices). Those programs demonstrating success were maintained, and all others either modified to comply with evidence-based practices or replaced by programming that did.

Geosynthetic Reinforced Soil for Low-Volume Bridge Abutments, January 2012

This report presents a review of literature on geosynthetic reinforced soil (GRS) bridge abutments, and test results and analysis from two field demonstration projects (Bridge 1 and Bridge 2) conducted in Buchanan County, Iowa, to evaluate the feasibility and cost effectiveness of the use of GRS bridge abutments on low-volume roads (LVRs). The two projects included GRS abutment substructures and railroad flat car (RRFC) bridge superstructures. The construction costs varied from $43k to $49k, which was about 50 to 60% lower than the expected costs for building a conventional bridge. Settlement monitoring at both bridges indicated maximum settlements ≤1 in. and differential settlements ≤ 0.2 in transversely at each abutment, during the monitoring phase. Laboratory testing on GRS fill material, field testing, and in ground instrumentation, abutment settlement monitoring, and bridge live load (LL) testing were conducted on Bridge 2. Laboratory test results indicated that shear strength parameters and permanent deformation behavior of granular fill material improved when reinforced with geosynthetic, due to lateral restraint effect at the soilgeosynthetic interface. Bridge LL testing under static loads indicated maximum deflections close to 0.9 in and non-uniform deflections transversely across the bridge due to poor load transfer between RRFCs. The ratio of horizontal to vertical stresses in the GRS fill was low (< 0.25), indicating low lateral stress on the soil surrounding GRS fill material. Bearing capacity analysis at Bridge 2 indicated lower than recommended factor of safety (FS) values due to low ultimate reinforcement strength of the geosynthetic material used in this study and a relatively weak underlying foundation layer. Global stability analysis of the GRS abutment structure revealed a lower FS than recommended against sliding failure along the interface of the GRS fill material and the underlying weak foundation layer. Design and construction recommendations to help improve the stability and performance of the GRS abutment structures on future projects, and recommendations for future research are provided in this report.

Les sociologues ont-ils perdu l'esprit ? À la recherche des structures élémentaires de la vie sociale

Ce texte est un « droit de réponse » par les auteurs de l'article « Vers un naturalisme social. À la croisée des sciences sociales et des sciences cognitives », publié par SociologieS en octobre 2011, au débat qu'il a suscité. Après une brève mise au point sur la forme même du débat, ainsi que sur les dissensions ponctuelles qui opposent les différents protagonistes, l'article répond aux inquiétudes parfaitement légitimes et aux questions de fond que soulève le naturalisme social.

Post-Plutonic Magmatism: from the Source to the Emplacement of an Upper Crustal Dyke Swarm, Adamello Massif, Italy

Magmas of the arc-tholeiitic and calc-alkaline differentiation suites contribute substantially to the formation of continental crust in subduction zones. Different geochemical-petrological models have been put forward to achieve evolved magmas forming large volumes of tonalitic to granitic plutons, building an important part of the continental crust. Primary magmas produced in the mantle wedge overlying the subducted slab migrate through the mantle and the crust. During the transfer, magma can accumulate in intermediate reservoirs at different levels where crystallization leads to differentiation and the heat transfer from the magma, together with gained heat from solidification, lead to partial melting of the crust. Partial melts can be assimilated and mix with more primitive magma. Moreover, already formed crystal cumulates or crystal mushes can be recycled and reactivated to transfer to higher crustal levels. Magma transport in the crust involves fow through fractures within a brittle elastic rock. The solidified magma filled crack, a dyke, can crosscut previously formed geological structures and thus serves as a relative or absolute time marker. The study area is situated in the Adamello massif. The Adamello massif is a composite of plutons that were emplaced between 42 and 29 million years. A later dyke swarm intruded into the southern part of the Adamello Batholith. A fractionation model covering dyke compositions from picrobasalts to dacites results in the cummulative crystallization of 17% olivine, 2% Cr-rich spinel, 18% clinopyroxene, 41% amphibole, 4% plagioclase and 0.1% magnetite to achieve an andesitic composition out of a hydrous primitive picrobasalt. These rocks show a similar geochemical evolution as experimental data simulating fractional crystallization and associated magma differentiation at lower crustal depth (7-10 kbar). The peraluminous, corundum normative composition is one characteristic of more evolved dacitic magmas, which has been explained in a long lasting debate with two di_erent models. Melting of mafic crust or politic material provides one model, whereas an alternative is fractionation from primary mantle derived melts. Amphibole occurring in basaltic-andesitic and andesitic dyke rocks as fractionating cumulate phase extracted from lower crustal depth (6-7.5 kbar) is driving the magmas to peraluminous, corundum normative compositions, which are represented by tonalites forming most of the Adamello Batholith. Most primitive picrobasaltic dykes have a slightly steepened chondrite normalized rare earth elements (REE) pattern and the increased enrichment of light-REE (LREE) for andesites and dacites can be explained by the fractional crystallization model originating from a picrobasalt, taking the changing fractionating phase assemblage and temperature into account. The injection of hot basaltic magma (~1050°C) in a closely spaced dyke swarm increases the surface of the contact to the mainly tonalitic wallrock. Such a setting induces partial melting of the wall rock and selective assimilation. Partial melting of the tonalite host is further expressed through intrusion breccias from basaltic dykes. Heat conduction models with instantaneous magma injection for such a dyke swarm geometry can explain features of partial melting observed in the field. Geochemical data of minerals and bulk rock further underline the selective or bulk assimilation of the tonalite host rock at upper crustal levels (~2-3 kbar), in particular with regard to light ion lithophile elements (LILE) such as Sr, Ba and Rb. Primitive picrobasalts carry an immiscible felsic assimilant as enclaves that bring along refractory rutile and zircon with textures typically found in oceanic plagiogranites or high pressure/low-temperature metamorphic rocks in general. U-Pb data implies a lower Cretaceous age for zircon not yet described as assimilant in Eocene to Oligocene magmatic rocks of the Central Southern Alps. The distribution of post-plutonic dykes in large batholiths such as the Adamello is one of the key features for understanding the regional stress field during the post-batholith emplacement cooling history. The emplacement of the regional dyke swarm covering the southern part of the Adamello massif was associated with consistent left lateral strike-slip movement along magma dilatation planes, leading to en echelon segmentation of dykes. Through the dilation by magma of pre-existing weaknesses and cracks in an otherwise uniform host rock, the dyke propagation and according orientation in the horizontal plane adjusted continuously perpendicular to least compressive remote stress σ3, resulting in an inferred rotation of the remote principal stress field. Les magmas issus des zones de subduction contribuent substantiellement à la formation de la croûte continentale. Les plutons tonalitiques et granitiques représentent, en effet, une partie importante de la croûte continentale. Des magmas primaires produits dans le 'mantle wedge ', partie du manteau se trouvant au-dessus de la plaque plongeante dans des zones de subduction, migrent à travers le manteau puis la croûte. Pendant ce transfert, le magma peut s'accumuler dans des réservoirs intermédiaires à différentes profondeurs. Le stockage de magma dans ces réservoirs engendre, d'une part, la différentiation des magmas par cristallisation fractionnée et, d'autre part, une fusion partielle la croûte continentale préexistante associée au transfert de la chaleur des magmas vers l'encaissant. Ces liquides magmatiques issus de la croûte peuvent, ensuite, se mélanger avec des magmas primaires. Le transport du magma dans la croûte implique notamment un flux de magma à travers différentes fractures recoupant les roches encaissantes élastiques. Au cours de ce processus de migration, des cumulats de cristaux ou des agrégats de cristaux encore non-solidifiés, peuvent être recyclés et réactivés pour être transportés à des niveaux supérieures de la croûte. Le terrain d'étude est situé dans le massif d'Adamello. Celui-ci est composé de plusieurs plutons mis en place entre 42 et 29 millions d'années. Dans une phase tardive de l'activité magmatique liée à ce batholite, une série de filons de composition variable allant de picrobasalte à des compositions dacitiques s'est mise en place la partie sud du massif. Deux modèles sont proposés dans la littérature, pour expliquer la formation des magmas dacitiques caractérisés par des compositions peralumineux (i.e. à corindon normatif). Le premier modèle propose que ces magmas soient issus de la fusion de matériel mafique et pélitique présent dans la partie inférieur de la croûte, alors que le deuxième modèle suggère une évolution par cristallisation fractionnée à partir de liquides primaires issus du manteau. Un modèle de cristallisation fractionnée a pu être développé pour expliquer l'évolution des filons de l'Adamello. Ce modèle explique la formation des filons dacitiques par la cristallisation fractionnée de 17% olivine, 2% spinelle riche en Cr, 18% clinopyroxène, 41% amphibole, 4% plagioclase et 0.1% magnetite à partir de liquide de compositions picrobasaltiques. Ce modèle prend en considération les contraintes pétrologiques déduites de l'observation des différents filons ainsi que du champ de stabilité des différentes phases en fonction de la température. Ces roches montrent une évolution géochimique similaire aux données expérimentales simulant la cristallisation fractionnée de magmas évoluant à des niveaux inférieurs de la croûte (7-10 kbar). Le modèle montre, en particulier, le rôle prépondérant de l'amphibole, une phase qui contrôle en particulier le caractère peralumineux des magmas différentiés ainsi que leurs compositions en éléments en traces. Des phénomènes de fusion partielle de l'encaissant tonalitique lors de la mise en place de _lons mafiques sont observée sur le terrain. L'injection du magma basaltique chaud (~1050°C) sous forme de filons rapprochés augmente la surface du contact avec l'encaissante tonalitique. Une telle situation produit la fusion partielle des roches encaissantes nécessaire à l'incorporation d'enclaves mafiques observés au sein des tonalites. Pour comprendre les conditions nécessaires pour la fusion partielle des roches encaissantes, des modèles de conduction thermique pour une injection simultanée d'une série de filons ont été développées. Des données géochimiques sur les minéraux et sur les roches totales soulignent qu'au niveau supérieur de la croûte, l'assimilation sélective ou totale de l'encaissante tonalitique modifie la composition du liquide primaire pour les éléments lithophiles tel que le Sr, Ba et Rb. Un autre aspect important concernant la pétrologie des filons de l'Adamello est la présence d'enclaves felsiques dans les filons les plus primitifs. Ces enclaves montrent, en particulier, des textures proches de celles rencontrées dans des plagiogranites océaniques ou dans des roches métamorphiques de haute pression/basse température. Ces enclaves contiennent du zircon et du rutile. La datations de ces zircons à l'aide du géochronomètre U-Pb indique un âge Crétacé inférieur. Cet âge est important, car aucune roche de cet âge n'a été considérée comme un assimilant potentiel pour des roches magmatiques d'âge Eocène à Oligocène dans les Alpes Sud Centrales. La réparation spatiale des filons post-plutoniques dans des grands batholites tel que l'Adamello, est une caractéristique clé pour la compréhension des champs de contraintes lors du refroidissement du batholite. L'orientation des filons va, en particulier, indiqué la contrainte minimal au sein des roches encaissante. La mise en place de la série de filon recoupant la partie Sud du massif de l'Adamello est associée à un décrochement senestre, un décrochement que l'on peut lié aux contraintes tectoniques régionales auxquelles s'ajoutent l'effet de la dilatation produite par la mise en place du batholite lui-même. Ce décrochement senestre produit une segmentation en échelon des filons.