2,403 research outputs found
Search for Gamma-Ray Burst Classes with the RHESSI Satellite
A sample of 427 gamma-ray bursts (GRBs), measured by the RHESSI satellite, is
studied statistically with respect to duration and hardness ratio. Standard
statistical tests are used, such as , F-test and the maximum likelihood
ratio test, in order to compare the number of GRB groups in the RHESSI database
with that of the BATSE database. Previous studies based on the BATSE Catalog
claim the existence of an intermediate GRB group, besides the long and short
groups. Using only the GRB duration as information and or
F-test, we have not found any statistically significant intermediate group in
the RHESSI data. However, maximum likelihood ratio test reveals a significant
intermediate group. Also using the 2-dimensional hardness / plane, the
maximum likelihood analysis reveals a significant intermediate group. Contrary
to the BATSE database, the intermediate group in the RHESSI data-set is harder
than the long one. The existence of an intermediate group follows not only from
the BATSE data-set, but also from the RHESSI one.Comment: Accepted for publication in Astronomy and Astrophysics, 9 pages, 4
figure
Low-Dimensional Long-Range Topological Charge Structure in the QCD Vacuum
While sign-coherent 4-dimensional structures cannot dominate topological
charge fluctuations in the QCD vacuum at all scales due to reflection
positivity, it is possible that enhanced coherence exists over extended
space-time regions of lower dimension. Using the overlap Dirac operator to
calculate topological charge density, we present evidence for such structure in
pure-glue SU(3) lattice gauge theory. It is found that a typical equilibrium
configuration is dominated by two oppositely-charged sign-coherent connected
structures (``sheets'') covering about 80% of space-time. Each sheet is built
from elementary 3-d cubes connected through 2-d faces, and approximates a
low-dimensional curved manifold (or possibly a fractal structure) embedded in
the 4-d space. At the heart of the sheet is a ``skeleton'' formed by about 18%
of the most intense space-time points organized into a global long-range
structure, involving connected parts spreading over maximal possible distances.
We find that the skeleton is locally 1-dimensional and propose that its
geometrical properties might be relevant for understanding the possible role of
topological charge fluctuations in the physics of chiral symmetry breaking.Comment: 4 pages RevTeX, 4 figures; v2: 6 pages, 5 figures, more explanations
provided, figure and references added, published versio
Exotic plasma as classical Hall Liquid
A non-relativistic plasma model endowed with an ``exotic'' structure
associated with the two-parameter central extension of the planar Galilei group
is constructed. Introducing a Chern-Simons statistical gauge field provides us
with a self-consistent system; when the magnetic field takes a critical value
determined by the extension parameters, the fluid becomes incompressible and
moves collectively, according to the Hall law.Comment: 11 pages, LaTex, no figures. Revised version: Some details better
explained. To appear in Int. Journ. Mod. Phys.
Failure of mean-field approach in out-of-equilibrium Anderson model
To explore the limitations of the mean field approximation, frequently used
in \textit{ab initio} molecular electronics calculations, we study an
out-of-equilibrium Anderson impurity model in a scattering formalism. We find
regions in the parameter space where both magnetic and non-magnetic solutions
are stable. We also observe a hysteresis in the non-equilibrium magnetization
and current as a function of the applied bias voltage. The mean field method
also predicts incorrectly local moment formation for large biases and a spin
polarized current, and unphysical kinks appear in various physical quantities.
The mean field approximation thus fails in every region where it predicts local
moment formation.Comment: 5 pages, 5 figure
Properties of iterative Monte Carlo single histogram reweighting
We present iterative Monte Carlo algorithm for which the temperature variable
is attracted by a critical point. The algorithm combines techniques of single
histogram reweighting and linear filtering. The 2d Ising model of ferromagnet
is studied numerically as an illustration. In that case, the iterations
uncovered stationary regime with invariant probability distribution function of
temperature which is peaked nearly the pseudocritical temperature of specific
heat. The sequence of generated temperatures is analyzed in terms of stochastic
autoregressive model. The error of histogram reweighting can be better
understood within the suggested model. The presented model yields a simple
relation, connecting variance of pseudocritical temperature and parameter of
linear filtering.Comment: 3 figure
- …