708 research outputs found

    Electron-positron bremsstrahlung and pair creation in very high magnetic fields

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    Cross-sections for Rutherford scattering, Coulomb bremsstrahlung and pair creation, have been calculated at very high magnetic fields in order to investigate the photo-production of protons at the polar caps of pulsars whose spin is antiparallel with the polar magnetic flux density. The Landau-Pomeranchuk-Migdal effect at very high magnetic fields is included in a simple electron Green function.Comment: 10 pages; to be published in Monthly Notices of the Royal Astronomical Societ

    The XMM-LSS survey: the Class 1 cluster sample over the extended 11 deg2^2 and its spatial distribution

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    This paper presents 52 X-ray bright galaxy clusters selected within the 11 deg2^2 XMM-LSS survey. 51 of them have spectroscopic redshifts (0.05<z<1.060.05<z<1.06), one is identified at zphot=1.9z_{\rm phot}=1.9, and all together make the high-purity "Class 1" (C1) cluster sample of the XMM-LSS, the highest density sample of X-ray selected clusters with a monitored selection function. Their X-ray fluxes, averaged gas temperatures (median TX=2T_X=2 keV), luminosities (median LX,500=5×1043L_{X,500}=5\times10^{43} ergs/s) and total mass estimates (median 5×1013h−1M⊙5\times10^{13} h^{-1} M_{\odot}) are measured, adapting to the specific signal-to-noise regime of XMM-LSS observations. The redshift distribution of clusters shows a deficit of sources when compared to the cosmological expectations, regardless of whether WMAP-9 or Planck-2013 CMB parameters are assumed. This lack of sources is particularly noticeable at 0.4≲z≲0.90.4 \lesssim z \lesssim 0.9. However, after quantifying uncertainties due to small number statistics and sample variance we are not able to put firm (i.e. >3σ>3 \sigma) constraints on the presence of a large void in the cluster distribution. We work out alternative hypotheses and demonstrate that a negative redshift evolution in the normalization of the LX−TXL_{X}-T_X relation (with respect to a self-similar evolution) is a plausible explanation for the observed deficit. We confirm this evolutionary trend by directly studying how C1 clusters populate the LX−TX−zL_{X}-T_X-z space, properly accounting for selection biases. We point out that a systematically evolving, unresolved, central component in clusters and groups (AGN contamination or cool core) can impact the classification as extended sources and be partly responsible for the observed redshift distribution.[abridged]Comment: 33 pages, 21 figures, 3 tables ; accepted for publication in MNRA

    Analysis and control of geometrically nonlinear responses of piezoelectric FG porous plates with graphene platelets reinforcement using B\'ezier extraction

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    In this study, we propose an effective numerical approach to analyse and control geometrically nonlinear responses for the functionally graded (FG) porous plates reinforced by graphene platelets (GPLs) integrated with piezoelectric layers. The basis idea is to use isogeometric analysis (IGA) based on the B\'ezier extraction and the C0C^0-type higher-order shear deformation theory (C0C^0-HSDT). By applying the B\'ezier extraction, the original Non-Uniform Rational B-Spline (NURBS) control meshes can be transformed into the B\'ezier elements which allow us to inherit the standard numerical procedure like the finite element method (FEM). The mechanical displacement field is approximated based on the C0C^0-HSDT whilst the electric potential is assumed to be a linear function through the thickness of each piezoelectric sublayer. The FG plate contains the internal pores and GPLs dispersed in the metal matrix either uniformly or non-uniformly according to various different patterns along the thickness of plate. In addition, to control dynamic responses, two piezoelectric layers are perfectly bonded on the top and bottom surfaces of the FG plate. The geometrically nonlinear equations are solved by the Newton-Raphson iterative procedure and the Newmark's time integration scheme. The influences of the porosity coefficients, weight fractions of GPLs as well as the external electrical voltage on the geometrically nonlinear behaviours of the plates with different porosity distributions and GPL dispersion patterns are evidently investigated through numerical examples. Then, a constant displacement and velocity feedback control approaches are adopted to active control the geometrically nonlinear static as well as the dynamic responses of the FG porous plates, where the effect of the structural damping is considered, based on a closed-loop control with piezoelectric sensors and actuators.Comment: 39 pages, 20 figure
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