A strongly conservative finite element method for the coupling of Stokes and Darcy flow

https://scholars.carroll.edu/romansarcophagus_file5/1145/thumbnail.jp

Characterization of nanodimensional Ni-Zn ferrite prepared by mechanochemical and thermal methods.

Nickel zinc ferrite nanoparticles, Ni1−xZnxFe2O4 (x = 0, 0.2, 0.5, 0.8, 1.0), with dimensions below 10 nm have been prepared by combining chemical precipitation with high-energy ball milling. For comparison, their analogues obtained by thermal synthesis have also been studied. Mössbauer spectroscopy, X-ray diffraction, and magnetic measurements are used for the characterization of the obtained materials. X-ray diffraction shows that after 3h of mechanical treatment ferrites containing zinc are formed, while 6h of treatment is needed to obtain NiFe2O4. The magnetic properties of the samples exhibit a strong dependence on the phase composition, particle size and preparation method

\epsilon-regularity for systems involving non-local, antisymmetric operators

We prove an epsilon-regularity theorem for critical and super-critical systems with a non-local antisymmetric operator on the right-hand side. These systems contain as special cases, Euler-Lagrange equations of conformally invariant variational functionals as Rivi\`ere treated them, and also Euler-Lagrange equations of fractional harmonic maps introduced by Da Lio-Rivi\`ere. In particular, the arguments presented here give new and uniform proofs of the regularity results by Rivi\`ere, Rivi\`ere-Struwe, Da-Lio-Rivi\`ere, and also the integrability results by Sharp-Topping and Sharp, not discriminating between the classical local, and the non-local situations

Delocalization of slowly damped eigenmodes on Anosov manifolds

We look at the properties of high frequency eigenmodes for the damped wave equation on a compact manifold with an Anosov geodesic flow. We study eigenmodes with spectral parameters which are asymptotically close enough to the real axis. We prove that such modes cannot be completely localized on subsets satisfying a condition of negative topological pressure. As an application, one can deduce the existence of a "strip" of logarithmic size without eigenvalues below the real axis under this dynamical assumption on the set of undamped trajectories.Comment: 28 pages; compared with version 1, minor modifications, add two reference

High-sensitivity monitoring of micromechanical vibration using optical whispering gallery mode resonators

The inherent coupling of optical and mechanical modes in high finesse optical microresonators provide a natural, highly sensitive transduction mechanism for micromechanical vibrations. Using homodyne and polarization spectroscopy techniques, we achieve shot-noise limited displacement sensitivities of 10^(-19) m Hz^(-1/2). In an unprecedented manner, this enables the detection and study of a variety of mechanical modes, which are identified as radial breathing, flexural and torsional modes using 3-dimensional finite element modelling. Furthermore, a broadband equivalent displacement noise is measured and found to agree well with models for thermorefractive noise in silica dielectric cavities. Implications for ground-state cooling, displacement sensing and Kerr squeezing are discussed.Comment: 25 pages, 8 figure

On using micro-clouds to deliver the fog

The cloud is scalable and cost-efficient, but it is not ideal for hosting all applications. Fog computing proposes an alternative of offloading some computation to the edge. Which applications to offload, where to, and when is not entirely clear yet due to our lack of understanding of potential edge infrastructures. Through a number of experiments, we showcase the feasibility and readiness of micro-clouds formed by collections of Raspberry Pis to host a range of fog applications, particularly for network-constrained environments

Perturbation growth in terms of baroclinic alignment properties

SUMMARY Mechanisms leading to perturbation growth in complex time-dependent quasi-geostrophic (QG) flows are addressed in this paper. The dynamics of small three-dimensional (3D) perturbations are studied for the complete set of the linearized local QG equations. An analytical diagnostic of these equations shows that, at each spatial location, the preferred 3D structures of the perturbations are related to the eigenvector directions of a matrix, denoted A, which is the 3D generalization of the basic-state strain-rate tensor. The matrix A has a degenerate form and depends on both the horizontal deformation and the vertical shear of the unperturbed reference flow. By using a nonlinear Monte-Carlo technique, the 3D structures related to A's eigenvectors are shown to be the most probable ones for perturbation growth. We also provide simple analytical expressions for quantifying the barotropic and baroclinic energy extraction from the reference flow by the perturbations. In particular, our analytical expression for baroclinic energy extraction is found to be more relevant than the Eady index widely used in the literature. An interesting outcome of the Monte-Carlo simulations is that the maxima of the total-energy error field are found to be localized in regions where the norm of A is large

Structural analysis of Ti1−xSixNy nanocomposite films prepared by reactive magnetron sputtering

Nanocomposite thin films consisting of both nanosized solid solutions or nanosized polycrystalline materials embedded in various amorphous matrix materials thus provide a grate potential for future mechanical devices. In this paper we report on the preparation of films resulting from additions of Si to TiN matrix by r.f. reactive magnetron sputtering. Structural properties such as growing characteristics (type of matrix, texture and grain size) will be analysed in some detail. Conventional transmission electron microscopy (TEM) and High-resolution transmission electron microscopy (HRTEM), together with both symmetric and asymmetric mode X-ray diffraction (XRD) experiments were used for this characterisation. The atomic composition of the samples was obtained by Rutherford Backscattering Spectrometry (RBS). The analysis will be carried out as a function of the Si content in the Ti1-xSixNy matrix and several relations will be made regarding important parameters such as texture evolution, grain sizes, but most specially by the type of matrix developed. Regarding the results, all samples develop a double fcc phase with lattice parameters of 4.30 Å and 4.17 Å, corresponding to cubic TiN and most likely to a cubic lattice of SiNx, respectively. Although no significant changes in texture were observed till Si compositions up to 10.6 at. %, the arrangement in atoms planes seem to vary. Results show that an asymmetric arrangement is developed in samples of small Si additions. This arrangement becomes more isotropic with the increase of Si contents, which we attribute to the increase in the SiNx content. In fact this increase leads also to the development of a small amorphous tissue of Si3N4 for large Si additions.The authors gratefully acknowledge the financial support of the ‘Fundação para a Ciência e Tecnologia’ (FCT) during the course of this research under project n PBICT/P/CTM/1962/95 and also the French CNRS Institution and the Portugese ICCTI Institution through CNRS/ICCTI Programs (N: 5522-1998 and 7087-1999)

Distribution and lability of land-derived organic matter in the surface sediments of the Rhône prodelta and the adjacent shelf (Mediterranean Sea, France): a multi proxy study

The Gulf of Lions is a river-dominated ocean margin that receives high loads of nutrients and particulate matter from the Rhône River but most particulate materials settle rapidly on the nearshore seafloor. One question is raised on the fate of these large quantities of organic carbon delivered by the river to the coastal marine environment. Surface sediments (0–0.5 cm) were collected in the Rhône prodelta and its adjacent shelf during a period of low river discharge (April 2007, 16 stations). The sources, distribution and lability of sedimentary organic matter were examined using bulk (organic carbon, total nitrogen, stable carbon isotope ratios, and grain size) and molecular-level (pigments, amino acids, fatty acids, and δ<sup>13</sup>C of individual fatty acids) analyses. Our results confirmed previous observations of a southwestward Rhodanian imprint in the nearshore sediments, with 97% of terrigenous inputs of organic matter near the river mouth. Isotopic values of bulk organic carbon, as well as fatty acid biomarkers and compound-specific δ<sup>13</sup>C signatures of most fatty acids clearly indicate that the Rhône inputs consist of a mixture of organic matter (OM) from different origins with a strong contribution from terrestrial sources (soil and plant debris), and a smaller input from freshwater microalgae, mostly diatoms. The influence of the Rhône River was prominent within the first ten kilometers, but may still be observed on the outer shelf (~21 km) as indicated by the occurrence of long chain fatty acids, which are derived from vascular plants, and their δ<sup>13</sup>C signatures. In the proximal prodelta, bacteria-specific fatty acids were abundant (1.65 mg g<sup>−1</sup> OC at the mouth site) and were relatively depleted in δ<sup>13</sup>C confirming that bacteria mostly utilize land-derived OM. In the shelf area, the inputs of marine OM and its predominant utilization by the bacteria was confirmed, but the coupling between the pelagic and the benthic compartments appeared limited at this period of the year. <br><br> Overall, degradation indexes based on amino acids (Dauwe's degradation index) and pigments (ratio of intact chlorophyll-<I>a</I> to the sum of chlorophyll-<I>a</I> + phaeopigment-<I>a</I>), as well as isotopic enrichment of source-specific fatty acids reveal an offshore gradient of OM decay reflecting the rapid deposition of the terrestrial material in the prodelta, the low mixing with OM deriving from marine sources and the efficient degradation of the OM. The OM delivered by the Rhône is relatively labile based on the intermediary value of Dauwe's degradation index, the high proportion of bio-available nitrogen and the occurrence of polyunsaturated fatty acids. Deltaic sediments off the Rhône River should thus be of sufficiently high nutritional quality to sustain dense macrofaunal communities