304 research outputs found
Optimal redundancy against disjoint vulnerabilities in networks
Redundancy is commonly used to guarantee continued functionality in networked
systems. However, often many nodes are vulnerable to the same failure or
adversary. A "backup" path is not sufficient if both paths depend on nodes
which share a vulnerability.For example, if two nodes of the Internet cannot be
connected without using routers belonging to a given untrusted entity, then all
of their communication-regardless of the specific paths utilized-will be
intercepted by the controlling entity.In this and many other cases, the
vulnerabilities affecting the network are disjoint: each node has exactly one
vulnerability but the same vulnerability can affect many nodes. To discover
optimal redundancy in this scenario, we describe each vulnerability as a color
and develop a "color-avoiding percolation" which uncovers a hidden
color-avoiding connectivity. We present algorithms for color-avoiding
percolation of general networks and an analytic theory for random graphs with
uniformly distributed colors including critical phenomena. We demonstrate our
theory by uncovering the hidden color-avoiding connectivity of the Internet. We
find that less well-connected countries are more likely able to communicate
securely through optimally redundant paths than highly connected countries like
the US. Our results reveal a new layer of hidden structure in complex systems
and can enhance security and robustness through optimal redundancy in a wide
range of systems including biological, economic and communications networks.Comment: 15 page
Validating Continuum Lowering Models via Multi-Wavelength Measurements of Integrated X-ray Emission
X-ray emission spectroscopy is a well-established technique used to study
continuum lowering in dense plasmas. It relies on accurate atomic physics
models to robustly reproduce high-resolution emission spectra, and depends on
our ability to identify spectroscopic signatures such as emission lines or
ionization edges of individual charge states within the plasma. Here we
describe a method that forgoes these requirements, enabling the validation of
different continuum lowering models based solely on the total intensity of
plasma emission in systems driven by narrow-bandwidth x-ray pulses across a
range of wavelengths. The method is tested on published Al spectroscopy data
and applied to the new case of solid-density partially-ionized Fe plasmas,
where extracting ionization edges directly is precluded by the significant
overlap of emission from a wide range of charge states
Possible detection of singly-ionized oxygen in the Type Ia SN 2010kg
We present direct spectroscopic modeling of 11 high-S/N observed spectra of
the Type Ia SN 2010kg, taken between -10 and +5 days with respect to B-maximum.
The synthetic spectra, calculated with the SYN++ code, span the range between
4100 and 8500 \r{A}. Our results are in good agreement with previous findings
for other Type Ia SNe. Most of the spectral features are formed at or close to
the photosphere, but some ions, like Fe II and Mg II, also form features at
~2000 - 5000 km s above the photosphere. The well-known high-velocity
features of the Ca II IR-triplet as well as Si II 6355 are also
detected.
The single absorption feature at ~4400 \r{A}, which usually has been
identified as due to Si III, is poorly fit with Si III in SN 2010kg. We find
that the fit can be improved by assuming that this feature is due to either C
III or O II, located in the outermost part of the ejecta, ~4000 - 5000 km
s above the photosphere. Since the presence of C III is unlikely,
because of the lack of the necessary excitation/ionization conditions in the
outer ejecta, we identify this feature as due to O II. The simultaneous
presence of O I and O II is in good agreement with the optical depth
calculations and the temperature distribution in the ejecta of SN 2010kg. This
could be the first identification of singly ionized oxygen in a Type Ia SN
atmosphere.Comment: Submitted to MNRA
Photometry of SN 2002bo with template image subtraction
VRI photometry of the type Ia supernova 2002bo is presented. This SN exploded
in a dusty region of the host galaxy NGC 3190, thus, subtraction of a template
frame was necessary to obtain reliable photometry. We used a template frame of
NGC 3190 taken during the course of our galaxy imaging project, fortunately,
just a few days before SN 2002bo was discovered. The aim of this project is to
collect template frames of nearby galaxies that are potential hosts of bright
SNe. Subtraction of pre-SN images helped us to exclude the background light
contamination of the host galaxy. The maximum occurred at JD 2452346, with
maximal V brightness of 13.58. MLCS analysis led to T0(B)=JD 2452346.1 pm 0.8
(fiducial B-maximum), E(B-V)=0.24 pm 0.02, mu0=32.46 pm 0.06, Delta=-0.14 pm
0.04. E(B-V)=0.24(2) indicates a significant extinction in the host galaxy as
the galactic reddening is negligible toward NGC 3190. The accepted value of
Delta indicates that SN 2002bo was a slightly overluminous SN by about 0.14
relative to fiducial SN Type Ia. The distance turned out to be 31.0 pm 3 Mpc.
In addition, the heavily obscured SN 2002cv was also detected on the I frame
taken on JD 2452434 (June 8, 2002), and a variable star is found in the field,
very close to the host galaxy.Comment: accepted by Astronomy and Astrophysic
XUV Opacity of Aluminum between the Cold-Solid to Warm-Plasma Transition
We present calculations of the free-free XUV opacity of warm, solid-density
aluminum at photon energies between the plasma frequency at 15 eV and the
L-edge at 73 eV, using both density functional theory combined with molecular
dynamics and a semi-analytical model in the RPA framework with the inclusion of
local field corrections. As the temperature is increased from room temperature
to 10 eV, with the ion and electron temperatures equal, we calculate an
increase in the opacity in the range over which the degree of ionization is
constant. The effect is less pronounced if only the electron temperature is
allowed to increase. The physical significance of these increases is discussed
in terms of intense XUV-laser matter interactions on both femtosecond and
picosecond time-scales.Comment: 4 pages, 3 figure
Correlation energy of the paramagnetic electron gas at the thermodynamic limit
The variational and diffusion quantum Monte Carlo methods are used to
calculate the correlation energy of the paramagnetic three-dimensional
homogeneous electron gas at intermediate to high density. Ground state energies
in finite cells are determined using Slater-Jastrow-backflow trial wave
functions, and finite-size errors are removed using twist-averaged boundary
conditions and extrapolation of the energy per particle to the thermodynamic
limit of infinite system size. Our correlation energies in the thermodynamic
limit are lower (i.e., more negative, and therefore more accurate according to
the variational principle) than previous results, and can be used for the
parameterization of density functionals to be applied to high-density systems
Correlation energy of the spin-polarized electron liquid by quantum Monte Carlo
Variational and diffusion quantum Monte Carlo (VMC and DMC) methods with
Slater-Jastrow-backflow trial wave functions are used to study the
spin-polarized three-dimensional uniform electron fluid. We report ground state
VMC and DMC energies in the density range .
Finite-size errors are corrected using canonical-ensemble twist-averaged
boundary conditions and extrapolation of the twist-averaged energy per particle
calculated at three system sizes (N=113, 259, and 387) to the thermodynamic
limit of infinite system size. The DMC energies in the thermodynamic limit are
used to parameterize a local spin density approximation correlation function
for inhomogeneous electron systems.Comment: arXiv admin note: substantial text overlap with arXiv:2209.1022
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