Origin of large moments in Mnx_xSi1−x_{1-x} at small x

Recently, the magnetic moment/Mn, $M$, in Mn$_x$Si$_{1-x}$ was measured to be 5.0 $\mu_B$/Mn, at $x$ =0.1%. To understand this observed $M$, we investigate several Mn$_x$Si$_{1-x}$ models of alloys using first-principles density functional methods. The only model giving $M = 5.0$ was a 513-atom cell having the Mn at a substitutional site, and Si at a second-neighbor interstitial site. The observed large moment is a consequence of the weakened d-p hybridization between the Mn and one of its nearest neighbor Si atoms, resulting from the introduction of the second-neighbor interstitial Si. Our result suggests a way to tune the magnetic moments of transition metal doped semiconductors.Comment: 4 pages, 2 figure

Final spins from the merger of precessing binary black holes

The inspiral of binary black holes is governed by gravitational radiation reaction at binary separations r < 1000 M, yet it is too computationally expensive to begin numerical-relativity simulations with initial separations r > 10 M. Fortunately, binary evolution between these separations is well described by post-Newtonian equations of motion. We examine how this post-Newtonian evolution affects the distribution of spin orientations at separations r ~ 10 M where numerical-relativity simulations typically begin. Although isotropic spin distributions at r ~ 1000 M remain isotropic at r ~ 10 M, distributions that are initially partially aligned with the orbital angular momentum can be significantly distorted during the post-Newtonian inspiral. Spin precession tends to align (anti-align) the binary black hole spins with each other if the spin of the more massive black hole is initially partially aligned (anti-aligned) with the orbital angular momentum, thus increasing (decreasing) the average final spin. Spin precession is stronger for comparable-mass binaries, and could produce significant spin alignment before merger for both supermassive and stellar-mass black hole binaries. We also point out that precession induces an intrinsic accuracy limitation (< 0.03 in the dimensionless spin magnitude, < 20 degrees in the direction) in predicting the final spin resulting from the merger of widely separated binaries.Comment: 20 pages, 16 figures, new PN terms, submitted to PR

A Comparison of Mortality Patterns in Human Populations Residing Under Diverse Ecological Conditions: A Time Series Analysis

This is the published version. Copyright 1983 Wayne State University Press.During the last century, a number of epidemics have swept across the world causing similar mortality peaks in diverse human populations. In particular, the effects of the influenza epidemic of 1918 can be seen in urban and rural human aggregates separated by continents and thousands of miles. This paper examines mortality periodicity, due to diverse population structures, ecology, and exposure to similar pathogens, through the use of time series analyses. Specifically, raw yearly mortality figures for two Italian alpine communities, Acceglio and Bellino, are compared with those of a Mennonite congregation living in Kansas, United States, for the same time periods. Crosscorrelation, autocorrelation, and power spectrum analyses have been applied in order to identify possible mortality periodicity and to compare these cycles across populations. The mortality cycles occur at approximately 10 years in the Mennonite series, and 13 in Acceglio and Bellino. Explanations are proposed for these data and for the significant correlations exhibited by the three time series. The last century of human existence saw a number of major demographic changes on a world-wide basis resulting from a variety of technological breakthroughs and medical developments. For example, as a result of innovations in transportation, there has been a rapid breakdown of reproductive and geographical isolation of small human populations such as the Mennonites. Due in part to this geographical isolation, communities that were exposed to specific pathogens periodically experienced disease epidemics, and mortality patterns were unique to each population. The incidence and duration of these epidemics depended in part on the demographic structure of the population and the unique historical events that introduced the pathogen into the community. The purpose of this paper is to explore the mortality patterns of three human populations living under diverse ecological conditions with exposure to various pandemic diseases. In particular, we examine the periodicity of mortality patterns using power spectral, cross-correlation and autocorrelation analyses, and explore some variables which may contribute to this periodicity

An Efficient Targeting Strategy for Multiobject Spectrograph Surveys: the Sloan Digital Sky Survey "Tiling" Algorithm

Large surveys using multiobject spectrographs require automated methods for deciding how to efficiently point observations and how to assign targets to each pointing. The Sloan Digital Sky Survey (SDSS) will observe around 10 6 spectra from targets distributed over an area of about 10,000 deg2, using a multiobject fiber spectrograph that can simultaneously observe 640 objects in a circular field of view (referred to as a "tile") 1°.49 in radius. No two fibers can be placed closer than 55Prime; during the same observation; multiple targets closer than this distance are said to "collide." We present here a method of allocating fibers to desired targets given a set of tile centers that includes the effects of collisions and that is nearly optimally efficient and uniform. Because of large-scale structure in the galaxy distribution (which form the bulk of the SDSS targets), a naive covering of the sky with equally spaced tiles does not yield uniform sampling. Thus, we present a heuristic for perturbing the centers of the tiles from the equally spaced distribution that provides more uniform completeness. For the SDSS sample, we can attain a sampling rate of greater than 92% for all targets, and greater than 99% for the set of targets that do not collide with each other, with an efficiency greater than 90% (defined as the fraction of available fibers assigned to targets). The methods used here may prove useful to those planning other large surveys

Predator-Prey Coevolution Drives Productivity-Richness Relationships in Planktonic Systems

The relationship between environmental productivity and species richness often varies among empirical studies, and despite much research, simple explanations for this phenomenon remain elusive. We investigated how phytoplankton and zooplankton coevolution shapes productivity-richness relationships in both phytoplankton and zooplankton, using a simple nutrient-phytoplankton-zooplankton model that incorporates size-dependent metabolic rates summarized from empirical studies. The model allowed comparisons of evolved species richness across productivity levels and at different evolutionary times. Our results show that disruptive selection leads to evolutionary branching of phytoplankton and zooplankton. Both the time required for evolutionary branching and the number of evolved species in phytoplankton and zooplankton tend to increase with productivity, producing a transient unimodal or positive productivity-richness relationship but followed by a positive productivity-richness relationship for both groups over long enough evolutionary time. Our findings suggest that coevolution between phytoplankton and zooplankton can drive the two common forms (unimodal and positive) of productivity-richness relationships in nature