11,310 research outputs found
The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
The ultrarelativistic limit of the Schwarzschild and the Kerr-geometry
together with their respective energy-momentum tensors is derived. The approach
is based on tensor-distributions making use of the underlying Kerr-Schild
structure, which remains stable under the ultrarelativistic boost.Comment: 16 pages, (AMS-LaTeX), TUW-94-0
Numerical Tests of Rotational Mixing in Massive Stars with the new Population Synthesis Code BONNFIRES
We use our new population synthesis code BONNFIRES to test how surface
abundances predicted by rotating stellar models depend on the numerical
treatment of rotational mixing, such as spatial resolution, temporal resolution
and computation of mean molecular weight gradients. We find that even with
identical numerical prescriptions for calculating the rotational mixing
coefficients in the diffusion equation, different timesteps lead to a deviation
of the coefficients and hence surface abundances. We find the surface
abundances vary by 10-100% between the model sequences with short timestep of
0.001Myr to model sequences with longer timesteps. Model sequences with
stronger surface nitrogen enrichment also have longer main-sequence lifetimes
because more hydrogen is mixed to the burning cores. The deviations in
main-sequence lifetimes can be as large as 20%. Mathematically speaking, no
numerical scheme can give a perfect solution unless infinitesimally small
timesteps are used. However, we find that the surface abundances eventually
converge within 10% between modelling sequences with sufficiently small
timesteps below 0.1Myr. The efficiency of rotational mixing depends on the
implemented numerical scheme and critically on the computation of the mean
molecular weight gradient. A smoothing function for the mean molecular weight
gradient results in stronger rotational mixing. If the discretization scheme or
the computational recipe for calculating the mean molecular weight gradient is
altered, re-calibration of mixing parameters may be required to fit
observations. If we are to properly understand the fundamental physics of
rotation in stars, it is crucial that we minimize the uncertainty introduced
into stellar evolution models when numerically approximating rotational mixing
processes.Comment: 8 pages, 6 figures, accepted by A&
Closed-loop approach to thermodynamics
We present the closed loop approach to linear nonequilibrium thermodynamics
considering a generic heat engine dissipatively connected to two temperature
baths. The system is usually quite generally characterized by two parameters:
the output power and the conversion efficiency , to which we add a
third one, the working frequency . We establish that a detailed
understanding of the effects of the dissipative coupling on the energy
conversion process, necessitates the knowledge of only two quantities: the
system's feedback factor and its open-loop gain , the product of
which, , characterizes the interplay between the efficiency, the
output power and the operating rate of the system. By placing thermodynamics
analysis on a higher level of abstraction, the feedback loop approach provides
a versatile and economical, hence a very efficient, tool for the study of
\emph{any} conversion engine operation for which a feedback factor may be
defined
Gallium Arsenide solar cell radiation damage experiment
Gallium arsenide (GaAs) solar cells for space applications from three different manufactures were irradiated with 10 MeV protons or 1 MeV electrons. The electrical performance of the cells was measured at several fluence levels and compared. Silicon cells were included for reference and comparison. All the GaAs cell types performed similarly throughout the testing and showed a 36 to 56 percent power areal density advantage over the silicon cells. Thinner (8-mil versus 12-mil) GaAs cells provide a significant weight reduction. The use of germanium (Ge) substrates to improve mechanical integrity can be implemented with little impact on end of life performance in a radiation environment
Distributional energy momentum tensor of the extended Kerr geometry
We generalize previous work on the energy-momentum tensor-distribution of the
Kerr geometry by extending the manifold structure into the negative mass
region. Since the extension of the flat part of the Kerr-Schild decomposition
from one sheet to the double cover develops a singularity at the branch surface
we have to take its non-smoothness into account. It is however possible to find
a geometry within the generalized Kerr-Schild class that is in the
Colombeau-sense associated to the maximally analytic Kerr-metric.Comment: 12 pages, latex2e, amslatex and epsf macro
Relativistic Effects in Nuclear Matter and Nuclei
The status of relativistic nuclear many-body calculations of nuclear systems
to be built up in terms of protons and neutrons is reviewed. In detail,
relativistic effects on several aspects of nuclear matter such as the effective
mass, saturation mechanism, and the symmetry energy are considered. This review
will especially focus on isospin asymmetric issues, since these aspects are of
high interest in astrophysical and nuclear structure studies. Furthermore, from
the experimental side these aspects are experiencing an additional boost from a
new generation of radioactive beam facilities, e.g. the future GSI facility
FAIR in Germany or SPIRAL2 at GANIL/France. Finally, the prospects of studying
finite nuclei in microscopic calculations which are based on realistic
interactions by including relativistic effects in calculations of low momentum
interactions are discussed.Comment: 57 pages, 16 figure
Cosmological Density Perturbations with a Scale-Dependent Newton's G
We explore possible cosmological consequences of a running Newton's constant
, as suggested by the non-trivial ultraviolet fixed point
scenario in the quantum field-theoretic treatment of Einstein gravity with a
cosmological constant term. In particular we focus here on what possible
effects the scale-dependent coupling might have on large scale cosmological
density perturbations. Starting from a set of manifestly covariant effective
field equations derived earlier, we systematically develop the linear theory of
density perturbations for a non-relativistic, pressure-less fluid. The result
is a modified equation for the matter density contrast, which can be solved and
thus provides an estimate for the growth index parameter in the
presence of a running . We complete our analysis by comparing the fully
relativistic treatment with the corresponding results for the non-relativistic
(Newtonian) case, the latter also with a weakly scale dependent .Comment: 54 pages, 4 figure
BONNSAI: a Bayesian tool for comparing stars with stellar evolution models
Powerful telescopes equipped with multi-fibre or integral field spectrographs
combined with detailed models of stellar atmospheres and automated fitting
techniques allow for the analysis of large number of stars. These datasets
contain a wealth of information that require new analysis techniques to bridge
the gap between observations and stellar evolution models. To that end, we
develop BONNSAI (BONN Stellar Astrophysics Interface), a Bayesian statistical
method, that is capable of comparing all available observables simultaneously
to stellar models while taking observed uncertainties and prior knowledge such
as initial mass functions and distributions of stellar rotational velocities
into account. BONNSAI can be used to (1) determine probability distributions of
fundamental stellar parameters such as initial masses and stellar ages from
complex datasets, (2) predict stellar parameters that were not yet
observationally determined and (3) test stellar models to further advance our
understanding of stellar evolution. An important aspect of BONNSAI is that it
singles out stars that cannot be reproduced by stellar models through
hypothesis tests and posterior predictive checks. BONNSAI can be
used with any set of stellar models and currently supports massive
main-sequence single star models of Milky Way and Large and Small Magellanic
Cloud composition. We apply our new method to mock stars to demonstrate its
functionality and capabilities. In a first application, we use BONNSAI to test
the stellar models of Brott et al. (2011a) by comparing the stellar ages
inferred for the primary and secondary stars of eclipsing Milky Way binaries.
Ages are determined from dynamical masses and radii that are known to better
than 3%. We find that the stellar models reproduce the Milky Way binaries well.
BONNSAI is available through a web-interface at
http://www.astro.uni-bonn.de/stars/bonnsai.Comment: Accepted for publication in A&A; 15 pages, 10 figures, 4 tables;
BONNSAI is available through a web-interface at
http://www.astro.uni-bonn.de/stars/bonnsa
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