22,134 research outputs found
The inverse problem for pulsating neutron stars: A ``fingerprint analysis'' for the supranuclear equation of state
We study the problem of detecting, and infering astrophysical information
from, gravitational waves from a pulsating neutron star. We show that the fluid
f and p-modes, as well as the gravitational-wave w-modes may be detectable from
sources in our own galaxy, and investigate how accurately the frequencies and
damping rates of these modes can be infered from a noisy gravitational-wave
data stream. Based on the conclusions of this discussion we propose a strategy
for revealing the supranuclear equation of state using the neutron star
fingerprints: the observed frequencies of an f and a p-mode. We also discuss
how well the source can be located in the sky using observations with several
detectors.Comment: 9 pages, 3 figure
Evolution equations for the perturbations of slowly rotating relativistic stars
We present a new derivation of the equations governing the oscillations of
slowly rotating relativistic stars. Previous investigations have been mostly
carried out in the Regge-Wheeler gauge. However, in this gauge the process of
linearizing the Einstein field equations leads to perturbation equations which
as such cannot be used to perform numerical time evolutions. It is only through
the tedious process of combining and rearranging the perturbation variables in
a clever way that the system can be cast into a set of hyperbolic first order
equations, which is then well suited for the numerical integration. The
equations remain quite lengthy, and we therefore rederive the perturbation
equations in a different gauge, which has been first proposed by Battiston et
al. (1970). Using the ADM formalism, one is immediately lead to a first order
hyperbolic evolution system, which is remarkably simple and can be numerically
integrated without many further manipulations. Moreover, the symmetry between
the polar and the axial equations becomes directly apparent.Comment: 13 pages, no figures, MSRAS typesetting, cleaning of the
inadvertently disfigured equation
Electronic structure of C60 / graphite
We report temperature-dependent photoelectron spectra for a monolayer of C_60
adsorbed on HOPG, as well as C 1s x-ray absorption. This extends a previous
report which showed the close similarity between the spectrum of the HOMO for
the two-dimensional overlayer and that of C_60 in the gas phase. The present
work shows that intermolecular and molecule-substrate vibrations contribute
strongly to the spectral lineshape at room temperature. Thus, vibrational
effects are shown to be crucial for the proper understanding of photoelectron
spectra, and thus the charge transport properties, for C_60 in contact with
graphite and graphite-like materials.Comment: Proc. of the XV. Int. Winterschool on Electronic Properties of Novel
Materials, Kirchberg/Tirol, Austria, 200
Weighted integral formulas on manifolds
We present a method of finding weighted Koppelman formulas for -forms
on -dimensional complex manifolds which admit a vector bundle of rank
over , such that the diagonal of has a defining
section. We apply the method to \Pn and find weighted Koppelman formulas for
-forms with values in a line bundle over \Pn. As an application, we
look at the cohomology groups of -forms over \Pn with values in
various line bundles, and find explicit solutions to the \dbar-equation in
some of the trivial groups. We also look at cohomology groups of -forms
over \Pn \times \Pm with values in various line bundles. Finally, we apply
our method to developing weighted Koppelman formulas on Stein manifolds.Comment: 25 page
Thermoelectrical manipulation of nanomagnets
We investigate the interplay between the thermodynamic properties and
spin-dependent transport in a mesoscopic device based on a magnetic multilayer
(F/f/F), in which two strongly ferromagnetic layers (F) are exchange-coupled
through a weakly ferromagnetic spacer (f) with the Curie temperature in the
vicinity of room temperature. We show theoretically that the Joule heating
produced by the spin-dependent current allows a spin-thermo-electronic control
of the ferromagnetic-to-paramagnetic (f/N) transition in the spacer and,
thereby, of the relative orientation of the outer F-layers in the device
(spin-thermo-electric manipulation of nanomagnets). Supporting experimental
evidence of such thermally controlled switching from parallel to antiparallel
magnetization orientations in F/f(N)/F sandwiches is presented. Furthermore, we
show theoretically that local Joule heating due to a high concentration of
current in a magnetic point contact or a nanopillar can be used to reversibly
drive the weakly ferromagnetic spacer through its Curie point and thereby
exchange couple and decouple the two strongly ferromagnetic F-layers. For the
devices designed to have an antiparallel ground state above the Curie point of
the spacer, the associated spin-thermionic parallel-to-antiparallel switching
causes magneto-resistance oscillations whose frequency can be controlled by
proper biasing from essentially DC to GHz. We discuss in detail an experimental
realization of a device that can operate as a thermo-magneto-resistive switch
or oscillator.Comment: This paper, published in J. Appl. Phys. 107, 123706 (2010), is an
expanded version of arXiv:0710.5477 (8 pages, 12 figures, two additional
authors and experimental section added
A microfluidic device for the study of the orientational dynamics of microrods
We describe a microfluidic device for studying the orientational dynamics of
microrods. The device enables us to experimentally investigate the tumbling of
microrods immersed in the shear flow in a microfluidic channel with a depth of
400 mu and a width of 2.5 mm. The orientational dynamics was recorded using a
20 X microscopic objective and a CCD camera. The microrods were produced by
shearing microdroplets of photocurable epoxy resin. We show different examples
of empirically observed tumbling. On the one hand we find that short stretches
of the experimentally determined time series are well described by fits to
solutions of Jeffery's approximate equation of motion [Jeffery, Proc. R. Soc.
London. 102 (1922), 161-179]. On the other hand we find that the empirically
observed trajectories drift between different solutions of Jeffery's equation.
We discuss possible causes of this orbit drift.Comment: 11 pages, 8 figure
Oscillations of General Relativistic Multi-fluid/Multi-layer Compact Stars
We develop the formalism for determining the quasinormal modes of general
relativistic multi-fluid compact stars in such a way that the impact of
superfluid gap data can be assessed. Our results represent the first attempt to
study true multi-layer dynamics, an important step towards considering
realistic superfluid/superconducting compact stars. We combine a relativistic
model for entrainment with model equations of state that explicity incorporate
the symmetry energy. Our analysis emphasises the many different parameters that
are required for this kind of modelling, and the fact that standard tabulated
equations of state are grossly incomplete in this respect. To make progress,
future equations of state need to provide the energy density as a function of
the various nucleon number densities, the temperature (i.e. entropy), and the
entrainment among the various components
Multi Mode Interferometer for Guided Matter Waves
We describe the fundamental features of an interferometer for guided matter
waves based on Y-beam splitters and show that, in a quasi two-dimensional
regime, such a device exhibits high contrast fringes even in a multi mode
regime and fed from a thermal source.Comment: Final version (accepted to PRL
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