Exploiting the directional sensitivity of the Double Chooz near detector

In scintillator detectors, the forward displacement of the neutron in the reaction $\bar\nu_e+p\to e^++n$ provides neutrino directional information as demonstrated by the CHOOZ reactor experiment with 2,500 events. The near detector of the forthcoming Double Chooz experiment will collect $1.6\times10^5$ events per year, enough to determine the average neutrino direction with a $1 \sigma$ half-cone aperture of $2.3^\circ$ in one year. It is more difficult to separate the two Chooz reactors that are viewed at a separation angle $\phi=30^\circ$. If their strengths are known and approximately equal, the azimuthal location of each reactor is obtained with $\pm6^\circ$ ($1 \sigma$) and the probability of confusing them with a single source is less than 11%. Five year's data reduce this ``confusion probability'' to less than 0.3%, i.e., a $3 \sigma$ separation is possible. All of these numbers improve rapidly with increasing angular separation of the sources. For a setup with $\phi=90^\circ$ and one year's data, the azimuthal $1 \sigma$ uncertainty for each source decreases to $\pm3.2^\circ$. Of course, for Double Chooz the two reactor locations are known, allowing one instead to measure their individual one-year integrated power output to $\pm11$ ($1 \sigma$), and their five-year integrated output to $\pm4.8$ ($1 \sigma$).Comment: 7 pages, 10 figure

Preparation and evaluation of advanced electrocatalysts for phosphoric acid fuel cells

Two cooperative phenomena are required the development of highly efficient porous electrocatalysts: (1) is an increase in the electrocatalytic activity of the catalyst particle; and (2) is the availability of that electrocatalyst particle for the electromechanical reaction. The two processes interact with each other so that improvements in the electrochemical activity must be coupled with improvements in the availability of the electrocatalyst for reaction. Cost effective and highly reactive electrocatalysts were developed. The utilization of the electrocatalyst particles in the porous electrode structures was analyzed. It is shown that a large percentage of the electrocatalyst in anode structures is not utilized. This low utilization translates directly into a noble metal cost penalty for the fuel cell

Mathematikinteresse im 1. Studiensemester

Im Rahmen des khdm wurde an der Universität Kassel ein Projekt angestoßen, um Entstehung, Verlauf und Gegenstände des Mathematikinteresses im ersten Studiensemester zu beschreiben und zu verstehen. Dabei sollen Einflussfaktoren identifiziert werden, die sowohl in den äußeren Bedingungen, als auch in der Person der Studierenden liegen können. Ergebnisse der Vorstudie werden vorgestellt und diskutiert sowie das weitere Vorgehen skizziert

Monolithic Overlapping Schwarz Domain Decomposition Methods with GDSW Coarse Spaces for Saddle Point Problems

Monolithic overlapping Schwarz preconditioners for saddle point problems of Stokes, Navier-Stokes, and mixed linear elasticity ty e are presented. For the first time, coarse spaces obtained from the GDSW (Generalized Dryja-Smith-Widlund) approach are used in such a setting. Numerical results of our parallel implementation are presented for several model problems. In particular, cases are considered where the problem cannot or should not b e reduced using local static condensation, e.g., Stokes, Navier-Stokes or mixed elasticity problems with continuous pressure spaces. In the new monolithic preconditioners, the local overlapping problems and the coarse problem are saddle point problems with the same structure as the original problem. Our parallel implementation of these preconditioners is based on the FROSch (Fast and Robust Overlapping Schwarz) library, which is part of the Trilinos package ShyLU. The implementation is algebraic in the sense that the preconditioners can be constructed from the fully assembled stiffness matrix and information about the block structure of the problem. Parallel scalability results for several thousand cores for Stokes, Navier-Stokes, and mixed linear elasticity model problems are reported. Each of the local problems is solved using a direct solver in serial mo de, whereas the coarse problem is solved using a direct solver in serial or MPI-parallel mode or using an MPI-parallel iterative Krylov solve

Compact E+A Galaxies as a Progenitor of Massive Compact Quiescent Galaxies at 0.2<z< 0.8

We search the Sloan Digital Sky Survey and the Baryon Oscillation Sky Survey to identify ~5500 massive compact quiescent galaxy candidates at 0.2<z<0.8. We robustly classify a subsample of 438 E+A galaxies based on their spectral properties and make this catalog publicly available. We examine sizes, stellar population ages and kinematics of galaxies in the sample and show that the physical properties of compact E+A galaxies suggest that they are a progenitor of massive compact quiescent galaxies. Thus, two classes of objects-compact E+A and compact quiescent galaxies-may be linked by a common formation scenario. The typical stellar population age of compact E+A galaxies is <1 Gyr. The existence of compact E+A galaxies with young stellar populations at 0.2<z<0.8 means that some compact quiescent galaxies first appear at intermediate redshifts. We derive a lower limit for the number density of compact E+A galaxies. Assuming passive evolution, we convert this number density into an appearance rate of new compact quiescent galaxies at 0.2<z<0.8. The lower limit number density of compact quiescent galaxies which may appear at z<0.8 is comparable to the lower limit of the total number density of compact quiescent galaxies at these intermediate redshifts. Thus, a substantial fraction of the z<0.8 massive compact quiescent galaxy population may descend from compact E+A galaxies at intermediate redshifts.Comment: Updated to accepted versio