A discontinuous Galerkin method for the Vlasov-Poisson system

A discontinuous Galerkin method for approximating the Vlasov-Poisson system of equations describing the time evolution of a collisionless plasma is proposed. The method is mass conservative and, in the case that piecewise constant functions are used as a basis, the method preserves the positivity of the electron distribution function and weakly enforces continuity of the electric field through mesh interfaces and boundary conditions. The performance of the method is investigated by computing several examples and error estimates associated system's approximation are stated. In particular, computed results are benchmarked against established theoretical results for linear advection and the phenomenon of linear Landau damping for both the Maxwell and Lorentz distributions. Moreover, two nonlinear problems are considered: nonlinear Landau damping and a version of the two-stream instability are computed. For the latter, fine scale details of the resulting long-time BGK-like state are presented. Conservation laws are examined and various comparisons to theory are made. The results obtained demonstrate that the discontinuous Galerkin method is a viable option for integrating the Vlasov-Poisson system.Comment: To appear in Journal for Computational Physics, 2011. 63 pages, 86 figure

Quantitative Topographical Characterization of Thermally Sprayed Coatings by Optical Microscopy

Topography measurements and roughness calculations for different rough surfaces (Rugotest surface comparator and thermally sprayed coatings) are presented. The surfaces are measured with a novel quantitative topography measurement technique based on optical stereomicroscopy and a comparison is made with established scanning stylus and optical profilometers. The results show that for most cases the different methods yield similar results. Stereomicroscopy is therefore a valuable method for topographical investigations in both quality control and research. On the other hand, the method based on optical microscopy demands a careful optimization of the experimental settings like the magnification and the illumination to achieve satisfactory result

Characterisation of micromechanical properties using advanced techniques

Extended abstract of a paper presented at Microscopy and Microanalysis 2012 in Phoenix, Arizona, USA, July 29 - August 2, 201

Transition in plastic deformation of nanolayered thin films: Role of interfaces and temperature

Insights into the parameters governing the plasticity of immiscible, nanocrystalline metals stacked in the form of layers are pivotal both from scientific and applications’ perspectives. An outstanding case consists of the contact metallurgy of pure copper used ubiquitously as metallic interconnects in electronic devices. Diffusion barrier layers such W or TiN are necessary to prevent undesirable diffusion of Cu into the Si-based device during synthesis and service. Also, supersaturated Cu-Cr alloys are desirable for improving the strength, while retaining optimal functional properties required for the application. The scientific curiosity lies in understanding the effects of reducing microstructural length scales on the mechanical properties of both of these materials at elevated temperatures. In addition, alternate layering with an immiscible element forms a viable solution to the difficultly in synthesis and application of pure nanocrystalline materials due to their poor microstructural stability. The mechanical behavior of several nanolayered thin films consisting of soft and relatively hard metals or brittle ceramics have been extensively studied at ambient conditions [1-3] by using various models predicting strength as function of grain size or layer thickness. But, few have investigated the elevated temperature mechanical response [4] of similar systems and have been restricted to a specific metal (Al) – ceramic (SiC) combination [5]. This presentation attempts to highlight the role of interfaces and diffusion in plastic flow and failure of mutually immiscible, nanolayered systems at elevated temperatures. The nanolayered thin films consist of mainly sub-100 nm thick layers of pure Cu sandwiched by layers of pure metals of Cr and W and a pure ceramic of TiN, which were grown on Si(100) substrates to thickness of 2-5 μm by using direct current magnetron sputtering. The mechanical response at elevated temperatures of the films was studied by compressing micropillars, which were fabricated using a focused Ga+ beam, in situ SEM using an AlemnisÒ indenter modified for high temperature testing. Lateral flow of Cu promoted by stress-assisted diffusion at homologous temperatures as low as 0.35 occurred in all three systems in contrast to interfacial shear-dominated flow at lower temperatures (Fig. 1). Predictions of discrete dislocation and continuum plasticity models were used to evaluate the change in the yield strengths of the films with respect to the layer thicknesses of Cu in the different systems

In situ compression tests on micron-sized silicon pillars by Raman microscopy—Stress measurements and deformation analysis

Mechanical properties of silicon are of high interest to the microelectromechanical systems community as it is the most frequently used structural material. Compression tests on 8 μm diameter silicon pillars were performed under a micro-Raman setup. The uniaxial stress in the micropillars was derived from a load cell mounted on a microindenter and from the Raman peak shift. Stress measurements from the load cell and from the micro-Raman spectrum are in excellent agreement. The average compressive failure strength measured in the middle of the micropillars is 5.1 GPa. Transmission electron microscopy investigation of compressed micropillars showed cracks at the pillar surface or in the core. A correlation between crack formation and dislocation activity was observed. The authors strongly believe that the combination of nanoindentation and micro-Raman spectroscopy allowed detection of cracks prior to failure of the micropillar, which also allowed an estimation of the in-plane stress in the vicinity of the crack ti

Compressive deformation and failure of CrAlN/Si3N4 nanocomposite coatings

The deformation and failure mechanisms of CrAlN/Si3N4 coatings containing grains a few nanometres in size have been compared with those of conventional CrN-based coatings. It is shown that the addition of amorphous Si3N4 phase increased the yield stress and hardness of the coating material, but did not change their ratio. This is consistent with theoretical predictions using existing models. However, cracking in conventional CrN-based coatings was catastrophic, whereas that in the fine-grained CrAlN/Si3N4 structure was much more benign, suggesting that the improved performance of these materials is associated with their fracture behaviours.This research was funded by A*STAR, Singapore and the Engineering and Physical Sciences Research Council (EPSRC) and Rolls-Royce Strategic Partnership “Structural Metallic Systems for Advanced Gas Turbine Applications” (EP/H500375/1).This is the accepted version of an article published in Applied Physics Letters. The final version is available online at http://scitation.aip.org/content/aip/journal/apl/104/8/10.1063/1.4867017. © 2014 AIP Publishing LL

Quantum Nature of Light Measured With a Single Detector

We realized the most fundamental quantum optical experiment to prove the non-classical character of light: Only a single quantum emitter and a single superconducting nanowire detector were used. A particular appeal of our experiment is its elegance and simplicity. Yet its results unambiguously enforce a quantum theory for light. Previous experiments relied on more complex setups, such as the Hanbury-Brown-Twiss configuration, where a beam splitter directs light to two photodetectors, giving the false impression that the beam splitter is required. Our work results in a major simplification of the widely used photon-correlation techniques with applications ranging from quantum information processing to single-molecule detection.Comment: 7 page

Characterization of Irradiation Damage of Ferritic ODS Alloys with Advanced Micro-Sample Methods

Oxide dispersion strengthened (ODS) steels are candidate materials for advanced electric energy and heat generation plants (nuclear, fossil). Understanding the degradation of mechanical properties of these alloys as a result of service exposure is necessary for safe design. For advanced nuclear applications combinations of temperature, irradiation and stress are important damage conditions. They are studied either with neutron irradiated samples (often highly active) or with ion-irradiated samples (irradiation damage often limited to only a few micrometer deep areas). High activity of samples and limited sample volume claim to subsized samples like nano-indentation, micro-pillar compression or thin strip creep testing. Irradiation hardening and irradiation creep were studied with these methods. Ferritic ODS steels with 19% chromium were investigated. The materials were studied in qualities differing in grain sizes and in sizes of the dispersoids. Irradiation was performed in an accelerator using He-ions. Irradiation damage profiles could be well analyzed with indentation. Yield stress determined with compression tests of single-crystal micropillars was well comparable with tension tests performed along the same crystallographic orientation. Irradiation creep of samples with different sizes of dispersoids revealed only a small influence of particle size being is in contrast with thermal creep but consistent with expectations from other investigation