6,246 research outputs found
Expanding the Family of Grassmannian Kernels: An Embedding Perspective
Modeling videos and image-sets as linear subspaces has proven beneficial for
many visual recognition tasks. However, it also incurs challenges arising from
the fact that linear subspaces do not obey Euclidean geometry, but lie on a
special type of Riemannian manifolds known as Grassmannian. To leverage the
techniques developed for Euclidean spaces (e.g, support vector machines) with
subspaces, several recent studies have proposed to embed the Grassmannian into
a Hilbert space by making use of a positive definite kernel. Unfortunately,
only two Grassmannian kernels are known, none of which -as we will show- is
universal, which limits their ability to approximate a target function
arbitrarily well. Here, we introduce several positive definite Grassmannian
kernels, including universal ones, and demonstrate their superiority over
previously-known kernels in various tasks, such as classification, clustering,
sparse coding and hashing
Deflagrations in hybrid CONe white dwarfs: a route to explain the faint Type Iax supernova 2008ha
Stellar evolution models predict the existence of hybrid white dwarfs (WDs)
with a carbon-oxygen core surrounded by an oxygen-neon mantle. Being born with
masses ~1.1 Msun, hybrid WDs in a binary system may easily approach the
Chandrasekhar mass (MCh) by accretion and give rise to a thermonuclear
explosion. Here, we investigate an off-centre deflagration in a near-MCh hybrid
WD under the assumption that nuclear burning only occurs in carbon-rich
material. Performing hydrodynamics simulations of the explosion and detailed
nucleosynthesis post-processing calculations, we find that only 0.014 Msun of
material is ejected while the remainder of the mass stays bound. The ejecta
consist predominantly of iron-group elements, O, C, Si and S. We also calculate
synthetic observables for our model and find reasonable agreement with the
faint Type Iax SN 2008ha. This shows for the first time that deflagrations in
near-MCh WDs can in principle explain the observed diversity of Type Iax
supernovae. Leaving behind a near-MCh bound remnant opens the possibility for
recurrent explosions or a subsequent accretion-induced collapse in faint Type
Iax SNe, if further accretion episodes occur. From binary population synthesis
calculations, we find the rate of hybrid WDs approaching MCh to be on the order
of 1 percent of the Galactic SN Ia rate.Comment: 9 pages, 7 figures, 2 tables, accepted for publication in MNRA
Multi-dimensional modelling of X-ray spectra for AGN accretion-disk outflows III: application to a hydrodynamical simulation
We perform multi-dimensional radiative transfer simulations to compute
spectra for a hydrodynamical simulation of a line-driven accretion disk wind
from an active galactic nucleus. The synthetic spectra confirm expectations
from parameterized models that a disk wind can imprint a wide variety of
spectroscopic signatures including narrow absorption lines, broad emission
lines and a Compton hump. The formation of these features is complex with
contributions originating from many of the different structures present in the
hydrodynamical simulation. In particular, spectral features are shaped both by
gas in a successfully launched outflow and in complex flows where material is
lifted out of the disk plane but ultimately falls back. We also confirm that
the strong Fe Kalpha line can develop a weak, red-skewed line wing as a result
of Compton scattering in the outflow. In addition, we demonstrate that X-ray
radiation scattered and reprocessed in the flow has a pivotal part in both the
spectrum formation and determining the ionization conditions in the wind. We
find that scattered radiation is rather effective in ionizing gas which is
shielded from direct irradiation from the central source. This effect likely
makes the successful launching of a massive disk wind somewhat more challenging
and should be considered in future wind simulations.Comment: 14 pages, 8 figures. Accepted for publication by MNRA
Type Ia supernovae from exploding oxygen-neon white dwarfs
The progenitor problem of Type Ia supernovae (SNe Ia) is still unsolved. Most
of these events are thought to be explosions of carbon-oxygen (CO) white dwarfs
(WDs), but for many of the explosion scenarios, particularly those involving
the externally triggered detonation of a sub-Chandrasekhar mass WD (sub-M Ch
WD), there is also a possibility of having an oxygen-neon (ONe) WD as
progenitor. We simulate detonations of ONe WDs and calculate synthetic
observables from these models. The results are compared with detonations in CO
WDs of similar mass and observational data of SNe Ia. We perform hydrodynamic
explosion simulations of detonations in initially hydrostatic ONe WDs for a
range of masses below the Chandrasekhar mass (M Ch), followed by detailed
nucleosynthetic postprocessing with a 384-isotope nuclear reaction network. The
results are used to calculate synthetic spectra and light curves, which are
then compared with observations of SNe Ia. We also perform binary evolution
calculations to determine the number of SNe Ia involving ONe WDs relative to
the number of other promising progenitor channels. The ejecta structures of our
simulated detonations in sub-M Ch ONe WDs are similar to those from CO WDs.
There are, however, small systematic deviations in the mass fractions and the
ejecta velocities. These lead to spectral features that are systematically less
blueshifted. Nevertheless, the synthetic observables of our ONe WD explosions
are similar to those obtained from CO models. Our binary evolution calculations
show that a significant fraction (3-10%) of potential progenitor systems should
contain an ONe WD. The comparison of our ONe models with our CO models of
comparable mass (1.2 Msun) shows that the less blueshifted spectral features
fit the observations better, although they are too bright for normal SNe Ia.Comment: 6 pages, 5 figure
A Droplet State in an Interacting Two-Dimensional Electron System
It is well known that the dielectric constant of two-dimensional (2D)
electron system goes negative at low electron densities. A consequence of the
negative dielectric constant could be the formation of the droplet state. The
droplet state is a two-phase coexistence region of high density liquid and low
density "gas". In this paper, we carry out energetic calculations to study the
stability of the droplet ground state. The possible relevance of the droplet
state to recently observed 2D metal-insulator transition is also discussed.Comment: 4 pages, 4 figures. To appear in Phys. Rev. B (Rapid Communications
Multi-D Simulations of Ultra-Stripped Supernovae to Shock Breakout
The recent discoveries of many double neutron star systems and their
detection as LIGO-Virgo merger events call for a detailed understanding of
their origin. Explosions of ultra-stripped stars in binary systems have been
shown to play a key role in this context and have also generated interest as a
potential explanation for rapidly evolving hydrogen-free transients. Here we
present the first attempt to model such explosions based on binary evolution
calculations that follow the mass transfer to the companion to obtain a
consistent core-envelope structure as needed for reliable predictions of the
supernova transient. We simulate the explosion in 2D and 3D, and confirm the
modest explosion energies ~10^50erg and small kick velocities reported earlier
in 2D models based on bare carbon-oxygen cores. The spin-up of the neutron star
by asymmetric accretion is small in 3D with no indication of spin-kick
alignment. Simulations up to shock breakout show the mixing of sizeable amounts
of iron group material into the helium envelope. In view of recent ideas for a
mixing-length treatment (MLT) of Rayleigh-Taylor instabilities in supernovae,
we perform a detailed analysis of the mixing, which reveals evidence for
buoyancy-drag balance, but otherwise does not support the MLT approximation.
The mixing may have implications for the spectroscopic signatures of
ultra-stripped supernovae that need to be investigated in the future. Our
stellar evolution calculation also predicts presupernova mass loss due to an
off-centre silicon deflagration flash, which suggests that supernovae from
extremely stripped cores may show signs of interactions with circumstellar
material.Comment: 15 pages, 15 figures, submitted to MNRA
Stabilization of single-electron pumps by high magnetic fields
We study the effect of perpendicular magnetic fields on a single-electron
system with a strongly time-dependent electrostatic potential. Continuous
improvements to the current quantization in these electron pumps are revealed
by high-resolution measurements. Simulations show that the sensitivity of
tunnel rates to the barrier potential is enhanced, stabilizing particular
charge states. Nonadiabatic excitations are also suppressed due to a reduced
sensitivity of the Fock-Darwin states to electrostatic potential. The
combination of these effects leads to significantly more accurate current
quantization
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