43,117 research outputs found
Radio-X-ray Synergy to discover and Study Jetted Tidal Disruption Events
Observational consequences of tidal disruption of stars (TDEs) by
supermassive black holes (SMBHs) can enable us to discover quiescent SMBHs,
constrain their mass function, study formation and evolution of transient
accretion disks and jet formation. A couple of jetted TDEs have been recently
claimed in hard X-rays, challenging jet models, previously applied to
-ray bursts and active galactic nuclei. It is therefore of paramount
importance to increase the current sample. In this paper, we find that the best
strategy is not to use up-coming X-ray instruments alone, which will yield
between several (e-Rosita) and a couple of hundreds (Einstein Probe) events per
year below redshift one. We rather claim that a more efficient TDE hunter will
be the Square Kilometer Array (SKA) operating {\it in survey mode} at 1.4 GHz.
It may detect up to several hundreds of events per year below with
a peak rate of a few tens per year at . Therefore, even if the
jet production efficiency is {\it not } as assumed here, the predicted
rates should be large enough to allow for statistical studies. The
characteristic TDE decay of , however, is not seen in radio, whose
flux is quite featureless. {\it Identification} therefore requires localization
and prompt repointing by higher energy instruments. If radio candidates would
be repointed within a day by future X-ray observatories (e.g. Athena and
LOFT-like missions), it will be possible to detect up to X-ray
counterparts, almost up to redshift . The shortcome is that only for
redshift below the trigger times will be less than 10 days from
the explosion. In this regard the X-ray surveys are better suited to probe the
beginning of the flare, and are therefore complementary to SKA.Comment: Astrophysical Journal (revised version
Hilbert Functions of Filtered Modules
In this presentation we shall deal with some aspects of the theory of Hilbert
functions of modules over local rings, and we intend to guide the reader along
one of the possible routes through the last three decades of progress in this
area of dynamic mathematical activity. Motivated by the ever increasing
interest in this field, our goal is to gather together many new developments of
this theory into one place, and to present them using a unifying approach which
gives self-contained and easier proofs. In this text we shall discuss many
results by different authors, following essentially the direction typified by
the pioneering work of J. Sally. Our personal view of the subject is most
visibly expressed by the presentation of Chapters 1 and 2 in which we discuss
the use of the superficial elements and related devices. Basic techniques will
be stressed with the aim of reproving recent results by using a more elementary
approach. Over the past few years several papers have appeared which extend
classical results on the theory of Hilbert functions to the case of filtered
modules. The extension of the theory to the case of general filtrations on a
module has one more important motivation. Namely, we have interesting
applications to the study of graded algebras which are not associated to a
filtration, in particular the Fiber cone and the Sally-module. We show here
that each of these algebras fits into certain short exact sequences, together
with algebras associated to filtrations. Hence one can study the Hilbert
function and the depth of these algebras with the aid of the know-how we got in
the case of a filtration.Comment: 127 pages, revised version. Comments and remarks are welcom
Quantum dislocations: the fate of multiple vacancies in two dimensional solid 4He
Defects are believed to play a fundamental role in the supersolid state of
4He. We have studied solid 4He in two dimensions (2D) as function of the number
of vacancies n_v, up to 30, inserted in the initial configuration at rho =
0.0765 A^-2, close to the melting density, with the exact zero temperature
Shadow Path Integral Ground State method. The crystalline order is found to be
stable also in presence of many vacancies and we observe two completely
different regimes. For small n_v, up to about 6, vacancies form a bound state
and cause a decrease of the crystalline order. At larger n_v, the formation
energy of an extra vacancy at fixed density decreases by one order of magnitude
to about 0.6 K. In the equilibrated state it is no more possible to recognize
vacancies because they mainly transform into quantum dislocations and
crystalline order is found almost independent on how many vacancies have been
inserted in the initial configuration. The one--body density matrix in this
latter regime shows a non decaying large distance tail: dislocations, that in
2D are point defects, turn out to be mobile, their number is fluctuating, and
they are able to induce exchanges of particles across the system mainly
triggered by the dislocation cores. These results indicate that the notion of
incommensurate versus commensurate state loses meaning for solid 4He in 2D,
because the number of lattice sites becomes ill defined when the system is not
commensurate. Crystalline order is found to be stable also in 3D in presence of
up to 100 vacancies
Strong coupling analysis of the large-N 2-d lattice chiral models
Two dimensional large-N chiral models on the square and honeycomb lattices
are investigated by a strong coupling analysis. Strong coupling expansion turns
out to be predictive for the evaluation of continuum physical quantities, to
the point of showing asymptotic scaling. Indeed in the strong coupling region a
quite large range of beta values exists where the fundamental mass agrees,
within about 5% on the square lattice and about 10% on the honeycomb lattice,
with the continuum predictions in the %%energy scheme.Comment: 16 pages, Revtex, 8 uuencoded postscript figure
Exact ground state Monte Carlo method for Bosons without importance sampling
Generally ``exact'' Quantum Monte Carlo computations for the ground state of
many Bosons make use of importance sampling. The importance sampling is based,
either on a guiding function or on an initial variational wave function. Here
we investigate the need of importance sampling in the case of Path Integral
Ground State (PIGS) Monte Carlo. PIGS is based on a discrete imaginary time
evolution of an initial wave function with a non zero overlap with the ground
state, that gives rise to a discrete path which is sampled via a Metropolis
like algorithm. In principle the exact ground state is reached in the limit of
an infinite imaginary time evolution, but actual computations are based on
finite time evolutions and the question is whether such computations give
unbiased exact results. We have studied bulk liquid and solid 4He with PIGS by
considering as initial wave function a constant, i.e. the ground state of an
ideal Bose gas. This implies that the evolution toward the ground state is
driven only by the imaginary time propagator, i.e. there is no importance
sampling. For both the phases we obtain results converging to those obtained by
considering the best available variational wave function (the Shadow wave
function) as initial wave function. Moreover we obtain the same results even by
considering wave functions with the wrong correlations, for instance a wave
function of a strongly localized Einstein crystal for the liquid phase. This
convergence is true not only for diagonal properties such as the energy, the
radial distribution function and the static structure factor, but also for
off-diagonal ones, such as the one--body density matrix. From this analysis we
conclude that zero temperature PIGS calculations can be as unbiased as those of
finite temperature Path Integral Monte Carlo.Comment: 11 pages, 10 figure
Afterglow lightcurves, viewing angle and the jet structure of gamma-ray bursts
Gamma ray bursts are often modelled as jet-like outflows directed towards the
observer; the cone angle of the jet is then commonly inferred from the time at
which there is a steepening in the power-law decay of the afterglow. We
consider an alternative model in which the jet has a beam pattern where the
luminosity per unit solid angle (and perhaps also the initial Lorentz factor)
decreases smoothly away from the axis, rather than having a well-defined cone
angle within which the flow is uniform. We show that the break in the afterglow
light curve then occurs at a time that depends on the viewing angle. Instead of
implying a range of intrinsically different jets - some very narrow, and others
with similar power spread over a wider cone - the data on afterglow breaks
could be consistent with a standardized jet, viewed from different angles. We
discuss the implication of this model for the luminosity function.Comment: Corrected typo in Eq. 1
On measuring the Galactic dark matter halo with hypervelocity stars
Hypervelocity stars (HVSs) travel from the Galactic Centre across the dark
matter halo of the Milky Way, where they are observed with velocities in excess
of the Galactic escape speed. Because of their quasi-radial trajectories, they
represent a unique probe of the still poorly constrained dark matter component
of the Galactic potential. In this paper, we present a new method to produce
such constraints. Our likelihood is based on the local HVS density obtained by
back-propagating the observed phase space position and quantifies the ejection
probability along the orbit. To showcase our method, we apply it to simulated
Gaia samples of stars in three realistic Galactic potentials with
dark matter components parametrized by spheroidal NFW profiles. We find that
individual HVSs exhibit a degeneracy in the scale mass-scale radius plane
() and are able to measure only the combination .
Likewise, a degeneracy is also present between and the spheroidal
axis-ratio . In the absence of observational errors, we show the whole
sample can nail down both parameters with {\it sub-per cent} precision (about
and for and respectively) with no systematic bias.
This remarkable power to constrain deviations from a symmetric halo is a
consequence of the Galactocentric origin of HVSs. To compare our results with
other probes, we break the degeneracy in the scale parameters and impose a
mass-concentration relation. The result is a competitive precision on the
virial mass of about .Comment: See Fig. 8 for a summar
Morphology of galaxies with quiescent recent assembly history in a Lambda-CDM universe
The standard disc formation scenario postulates that disc forms as the gas
cools and flows into the centre of the dark matter halo, conserving the
specific angular momentum. Major mergers have been shown to be able to destroy
or highly perturb the disc components. More recently, the alignment of the
material that is accreted to form the galaxy has been pointed out as a key
ingredient to determine galaxy morphology. However, in a hierarchical scenario
galaxy formation is a complex process that combines these processes and others
in a non-linear way so that the origin of galaxy morphology remains to be fully
understood. We aim at exploring the differences in the formation histories of
galaxies with a variety of morphology, but quite recent merger histories, to
identify which mechanisms are playing a major role. We analyse when minor
mergers can be considered relevant to determine galaxy morphology. We also
study the specific angular momentum content of the disc and central spheroidal
components separately. We used cosmological hydrodynamical simulations that
include an effective, physically motivated supernova feedback that is able to
regulate the star formation in haloes of different masses. We analysed the
morphology and formation history of a sample of 15 galaxies of a cosmological
simulation. We performed a spheroid-disc decomposition of the selected galaxies
and their progenitor systems. The angular momentum orientation of the merging
systems as well as their relative masses were estimated to analyse the role
played by orientation and by minor mergers in the determination of the
morphology. We found the discs to be formed by conserving the specific angular
momentum in accordance with the classical disc formation model. The specific
angular momentum of the stellar central spheroid correlates with the dark
matter halo angular momentum and determines a power law. AbridgedComment: 10 pages, 9 figures, A&A in pres
Quantized vortices in two dimensional solid 4He
Diagonal and off-diagonal properties of 2D solid 4He systems doped with a
quantized vortex have been investigated via the Shadow Path Integral Ground
State method using the fixed-phase approach. The chosen approximate phase
induces the standard Onsager-Feynman flow field. In this approximation the
vortex acts as a static external potential and the resulting Hamiltonian can be
treated exactly with Quantum Monte Carlo methods. The vortex core is found to
sit in an interstitial site and a very weak relaxation of the lattice positions
away from the vortex core position has been observed. Also other properties
like Bragg peaks in the static structure factor or the behavior of vacancies
are very little affected by the presence of the vortex. We have computed also
the one-body density matrix in perfect and defected 4He crystals finding that
the vortex has no sensible effect on the off-diagonal long range tail of the
density matrix. Within the assumed Onsager Feynman phase, we find that a
quantized vortex cannot auto-sustain itself unless a condensate is already
present like when dislocations are present. It remains to be investigated if
backflow can change this conclusion.Comment: 4 pages, 3 figures, LT26 proceedings, accepted for publication in
Journal of Physics: Conference Serie
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