The influence of microlensing on the shape of the AGN Fe K-alpha line

We study the influence of gravitational microlensing on the AGN Fe K-alpha line confirming that unexpected enhancements recently detected in the iron line of some AGNs can be produced by this effect. We use a ray tracing method to study the influence of microlensing in the emission coming from a compact accretion disc considering both geometries, Schwarzschild and Kerr. Thanks to the small dimensions of the region producing the AGN Fe K-alpha line, the Einstein Ring Radii associated to even very small compact objects have size comparable to the accretion disc hence producing noticeable changes in the line profiles. Asymmetrical enhancements contributing differently to the peaks or to the core of the line are produced by a microlens, off-centered with respect to the accretion disc. In the standard configuration of microlensing by a compact object in an intervening galaxy, we found that the effects on the iron line are two orders of magnitude larger than those expected in the optical or UV emission lines. In particular, microlensing can satisfactorily explain the excess in the iron line emission found very recently in two gravitational lens systems, H 1413+117 and MG J0414+0534. Exploring other physical {scenario} for microlensing, we found that compact objects (of the order of one Solar mass) which belong to {the bulge or the halo} of the host galaxy can also produce significant changes in the Fe K$_\alpha$ line profile of an AGN. However, the optical depth estimated for this type of microlensing is {very small, $\tau\sim 0.001$, even in a favorable case.Comment: Astron. Astrophys. accepte

Enabling Multidisciplinary Perspective in Student Design Project: Fast Fashion and Sustainable Manufacturing Systems

Fast fashion retailers are growing faster than any other type of retailer due to their ability to offer trendy low-cost clothing mimicking latest runway trends with turnaround times as low as two weeks. Fueled by short production and distribution lead times, fast fashion retailers combine rapid prototyping, small batches of fashionable product designs, and efficient transportations and delivery. Among others, the methods applied in fast-fashion industry include mass customization and personalization, and lean manufacturing. Current trends in manufacturing lean towards the application of digital and rapid manufacturing methods and increased use of product lifecycle management, knowledge management systems and computer integrated manufacturing. Furthermore, modern fashion systems span geographical regions, wherein design and manufacturing is not necessarily done at the same location and it requires coordination of many pairs of hands and machines, followed by multiple processes and treatments to meet the demands of ever decreasing time-to-market. Hence, there are connections that can be used as a benefit for multidisciplinary student projects which would include fashion merchandising students and engineering students. Therefore, the purpose of this paper is to present a model of a project which would include a team of students with diverse backgrounds and experiences in fashion, engineering, and industrial technology in order to examine various manufacturing system concepts that can be used to enhance the sustainability of fast-fashion systems. These activities would be embedded in their current courses and they would expose engineering students to a fashion manufacturing industry and fashion students to engineering concepts of product lifecycle management and computer aided manufacturing. Special emphasis would be given to female engineering students who are not necessarily exposed to this kind of industry in their major

Occupational choice, number of entrepreneurs and output: theory and empirical evidence with Spanish data

This paper extends the (Lucas, Bell J Econ 9:508–523,1978) model of occupational choices by individuals with different skills, beyond the simple options of self-employment or wage-employment, by including a second choice for the self-employed. That is, an option to hire employees and so become self-employed with employees (SEWEs), or to be self-employed without employees (SEWNEs). We solve for the market equilibrium and examine the sensitivity of relative sizes of occupational groups, and of the level of productivity, to changes in the exogenous parameters. The results show that the positive (negative) association between number of SEWEs (SEWNEs) and productivity, observed in the Spanish data, can be explained, under certain conditions, as the result of cross-region and time differences in average skills. These findings point to the importance of distinguishing between SEWEs and SEWNEs in drawing valid conclusions concerning any link between entrepreneurship and economic development

Efficient Monte Carlo algorithm and high-precision results for percolation

We present a new Monte Carlo algorithm for studying site or bond percolation on any lattice. The algorithm allows us to calculate quantities such as the cluster size distribution or spanning probability over the entire range of site or bond occupation probabilities from zero to one in a single run which takes an amount of time scaling linearly with the number of sites on the lattice. We use our algorithm to determine that the percolation transition occurs at occupation probability 0.59274621(13) for site percolation on the square lattice and to provide clear numerical confirmation of the conjectured 4/3-power stretched-exponential tails in the spanning probability functions.Comment: 8 pages, including 3 postscript figures, minor corrections in this version, plus updated figures for the position of the percolation transitio