147 research outputs found
3D simulations of Einstein's equations: symmetric hyperbolicity, live gauges and dynamic control of the constraints
We present three-dimensional simulations of Einstein equations implementing a
symmetric hyperbolic system of equations with dynamical lapse. The numerical
implementation makes use of techniques that guarantee linear numerical
stability for the associated initial-boundary value problem. The code is first
tested with a gauge wave solution, where rather larger amplitudes and for
significantly longer times are obtained with respect to other state of the art
implementations. Additionally, by minimizing a suitably defined energy for the
constraints in terms of free constraint-functions in the formulation one can
dynamically single out preferred values of these functions for the problem at
hand. We apply the technique to fully three-dimensional simulations of a
stationary black hole spacetime with excision of the singularity, considerably
extending the lifetime of the simulations.Comment: 21 pages. To appear in PR
Boundary conditions for hyperbolic formulations of the Einstein equations
In regards to the initial-boundary value problem of the Einstein equations,
we argue that the projection of the Einstein equations along the normal to the
boundary yields necessary and appropriate boundary conditions for a wide class
of equivalent formulations. We explicitly show that this is so for the
Einstein-Christoffel formulation of the Einstein equations in the case of
spherical symmetry.Comment: 15 pages; text added and typesetting errors corrected; to appear in
Classical and Quantum Gravit
Deep ACS Imaging in the Globular Cluster NGC 6397: The Cluster Color Magnitude Diagram and Luminosity Function
We present the CMD from deep HST imaging in the globular cluster NGC 6397.
The ACS was used for 126 orbits to image a single field in two colors (F814W,
F606W) 5 arcmin SE of the cluster center. The field observed overlaps that of
archival WFPC2 data from 1994 and 1997 which were used to proper motion (PM)
clean the data. Applying the PM corrections produces a remarkably clean CMD
which reveals a number of features never seen before in a globular cluster CMD.
In our field, the main sequence stars appeared to terminate close to the
location in the CMD of the hydrogen-burning limit predicted by two independent
sets of stellar evolution models. The faintest observed main sequence stars are
about a magnitude fainter than the least luminous metal-poor field halo stars
known, suggesting that the lowest luminosity halo stars still await discovery.
At the bright end the data extend beyond the main sequence turnoff to well up
the giant branch. A populous white dwarf cooling sequence is also seen in the
cluster CMD. The most dramatic features of the cooling sequence are its turn to
the blue at faint magnitudes as well as an apparent truncation near F814W = 28.
The cluster luminosity and mass functions were derived, stretching from the
turn off down to the hydrogen-burning limit. It was well modeled with either a
very flat power-law or a lognormal function. In order to interpret these fits
more fully we compared them with similar functions in the cluster core and with
a full N-body model of NGC 6397 finding satisfactory agreement between the
model predictions and the data. This exercise demonstrates the important role
and the effect that dynamics has played in altering the cluster IMF.Comment: 43 pages including 4 tables and 12 diagrams. Figures 2 and 3 have
been bitmapped. Accepted for publication in the Astronomical Journa
Improved Laboratory Transition Probabilities for Neutral Chromium and Re-determination of the Chromium Abundance for the Sun and Three Stars
Branching fraction measurements from Fourier transform spectra in conjunction
with published radiative lifetimes are used to determine transition
probabilities for 263 lines of neutral chromium. These laboratory values are
employed to derive a new photospheric abundance for the Sun: log (Cr
I) = 5.640.01 (). These Cr I solar abundances do
not exhibit any trends with line strength nor with excitation energy and there
were no obvious indications of departures from LTE. In addition, oscillator
strengths for singly-ionized chromium recently reported by the FERRUM Project
are used to determine: log (Cr II) = 5.770.03 (). Transition probability data are also applied to the spectra of three
stars: HD 75732 (metal-rich dwarf), HD 140283 (metal-poor subgiant), and CS
22892-052 (metal-poor giant). In all of the selected stars, Cr I is found to be
underabundant with respect to Cr II. The possible causes for this abundance
discrepancy and apparent ionization imbalance are discussed.Comment: 44 pages, 6 figure
Excitons in quasi-one dimensional organics: Strong correlation approximation
An exciton theory for quasi-one dimensional organic materials is developed in
the framework of the Su-Schrieffer-Heeger Hamiltonian augmented by short range
extended Hubbard interactions. Within a strong electron-electron correlation
approximation, the exciton properties are extensively studied. Using scattering
theory, we analytically obtain the exciton energy and wavefunction and derive a
criterion for the existence of a exciton. We also systematically
investigate the effect of impurities on the coherent motion of an exciton. The
coherence is measured by a suitably defined electron-hole correlation function.
It is shown that, for impurities with an on-site potential, a crossover
behavior will occur if the impurity strength is comparable to the bandwidth of
the exciton, corresponding to exciton localization. For a charged impurity with
a spatially extended potential, in addition to localization the exciton will
dissociate into an uncorrelated electron-hole pair when the impurity is
sufficiently strong to overcome the Coulomb interaction which binds the
electron-hole pair. Interchain coupling effects are also discussed by
considering two polymer chains coupled through nearest-neighbor interchain
hopping and interchain Coulomb interaction . Within the
matrix scattering formalism, for every center-of-mass momentum, we find two
poles determined only by , which correspond to the interchain
excitons. Finally, the exciton state is used to study the charge transfer from
a polymer chain to an adjacent dopant molecule.Comment: 24 pages, 23 eps figures, pdf file of the paper availabl
Hydrodynamical assessment of 200 AGeV collisions
We are analyzing the hydrodynamics of 200 A GeV S+S collisions using a new
approach which tries to quantify the uncertainties arising from the specific
implementation of the hydrodynamical model. Based on a previous
phenomenological analysis we use the global hydrodynamics model to show that
the amount of initial flow, or initial energy density, cannot be determined
from the hadronic momentum spectra. We additionally find that almost always a
sizeable transverse flow deve- lops, which causes the system to freeze out,
thereby limiting the flow velocity in itself. This freeze-out dominance in turn
makes a distinction between a plasma and a hadron resonance gas equation of
state very difficult, whereas a pure pion gas can easily be ruled out from
present data. To complete the picture we also analyze particle multiplicity
data, which suggest that chemical equilibrium is not reached with respect to
the strange particles. However, the over- population of pions seems to be at
most moderate, with a pion chemical potential far away from the Bose
divergence.Comment: 19 pages, 11 figs in separate uuencoded file, for LateX, epsf.tex,
dvips, TPR-94-5 and BNL-(no number yet
'Sculptor'-ing the Galaxy? The Chemical Compositions of Red Giants in the Sculptor Dwarf Spheroidal Galaxy
We have used high-resolution, high signal-to-noise spectra obtained with the
VLT and UVES to determine abundances of 17 elements in 4 red giants in the
Sculptor dwarf spheroidal galaxy. Our [Fe/H] values range from --2.10 to
--0.97, confirming previous findings of a large metallicity spread. We have
combined our data with similar data for five Sculptor giants studied recently
to form one of the largest samples of high resolution abundances yet obtained
for a dwarf spheroidal galaxy, covering essentially the full known metallicity
range. These properties allow us to establish trends of [X/Fe] with [Fe/H] for
many elements, X. The trends are significantly different from the trends seen
in galactic halo and globular cluster stars. We compare our Sculptor sample to
their most similar Galactic counterparts and find substantial differences
remain even with these stars. The many discrepancies in the relationships
between [X/Fe] as seen in Sculptor compared with Galactic field stars indicates
that our halo cannot be made up in bulk of stars similar to those presently
seen in dwarf spheroidal galaxies like Sculptor. These results have serious
implications for the Searle-Zinn and hierarchical galaxy formation scenarios.
We also find that the most metal-rich star in our sample is a heavy
element-rich star. A very high percentage of such heavy element stars are now
known in dwarf spheroidals compared to the halo, further mitigating against the
formation of the halo from such objects.Comment: Accepted for publication in AJ, 46 pages, 11 figure
Role of estrogens and epidermal growth factor in hepatocellular carcinoma (HCC)
Estrogen (E) and epidermal growth factors (EGF) receptors were assayed in the liver of nine patients with hepatocellular carcinoma (HCC). Total E and nuclear E receptors were decreased significantly in neoplastic tissue as compared to the levels found in surrounding nonneoplastic tissue. The EGF receptor was decreased also in neoplastic tissue. On the basis of binding data, a decrease in the number but not in affinity of both the E and EGF receptors was found. © 1991 Plenum Publishing Corporation
Virtual Compton Scattering and the Generalized Polarizabilities of the Proton at Q^2=0.92 and 1.76 GeV^2
Virtual Compton Scattering (VCS) on the proton has been studied at Jefferson
Lab using the exclusive photon electroproduction reaction (e p --> e p gamma).
This paper gives a detailed account of the analysis which has led to the
determination of the structure functions P_LL-P_TT/epsilon and P_LT, and the
electric and magnetic generalized polarizabilities (GPs) alpha_E(Q^2) and
beta_M(Q^2) at values of the four-momentum transfer squared Q^2= 0.92 and 1.76
GeV^2. These data, together with the results of VCS experiments at lower
momenta, help building a coherent picture of the electric and magnetic GPs of
the proton over the full measured Q^2-range, and point to their non-trivial
behavior.Comment: version 2: modified according to PRC Editor's and Referee's
recommendations. Archival paper for the E93-050 experiment at JLab Hall A. 28
pages, 23 figures, 5 cross-section tables. To be submitted to Phys.Rev.
Measurement of the analyzing power Ay0 for the reaction H(pâ,d)Ï+ between 1000 and 1300 MeV
The analyzing power Ay0 of the reaction H(pâ,d)Ï+ has been measured at a fixed value of the Mandelstam variable ud=-0.17GeV2 for nine proton energies between 1000 and 1300 MeV. The experiment was performed at SATURNE with the SPES1 spectrometer. The data exhibit structure around âsâ2.37GeV. The origin of this structure could be related to a resonancelike behavior of the 1S0P or 1G4F partial amplitudes
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