50,572 research outputs found
Classical singularities and Semi-Poisson statistics in quantum chaos and disordered systems
We investigate a 1D disordered Hamiltonian with a non analytical step-like
dispersion relation whose level statistics is exactly described by Semi-Poisson
statistics(SP). It is shown that this result is robust, namely, does not depend
neither on the microscopic details of the potential nor on a magnetic flux but
only on the type of non-analyticity. We also argue that a deterministic kicked
rotator with a non-analytical step-like potential has the same spectral
properties. Semi-Poisson statistics (SP), typical of pseudo-integrable
billiards, has been frequently claimed to describe critical statistics, namely,
the level statistics of a disordered system at the Anderson transition (AT).
However we provide convincing evidence they are indeed different: each of them
has its origin in a different type of classical singularities.Comment: typos corrected, 4 pages, 3 figure
Universality in quantum chaos and the one parameter scaling theory
We adapt the one parameter scaling theory (OPT) to the context of quantum
chaos. As a result we propose a more precise characterization of the
universality classes associated to Wigner-Dyson and Poisson statistics which
takes into account Anderson localization effects. Based also on the OPT we
predict a new universality class in quantum chaos related to the
metal-insulator transition and provide several examples. In low dimensions it
is characterized by classical superdiffusion or a fractal spectrum, in higher
dimensions it can also have a purely quantum origin as in the case of
disordered systems. Our findings open the possibility of studying the metal
insulator transition experimentally in a much broader type of systems.Comment: 4 pages, 2 figures, acknowledgment added, typos correcte
KIC 9821622: An interesting lithium-rich giant in the Kepler field
We report the discovery of a new exceptional young lithium-rich giant, KIC
9821622, in the \textit{Kepler} field that exhibits an unusually large
enhancement of , Fe-peak, and \textit{r}-process elements. From
high-resolution spectra obtained with GRACES at Gemini North, we derived
fundamental parameters and detailed chemical abundances of 23 elements from
equivalent widths and synthesis analysis. By combining atmospheric stellar
parameters with available asteroseismic data, we obtained the stellar mass,
radius, and age. The data analysis reveals that KIC 9821622 is a Li-rich
(A(Li) = 1.80 0.2) intermediate-mass giant star ( = 1.64
) located at the red giant branch near the luminosity bump. We find
unexpectedly elevated abundances of Fe-peak and \textit{r}-process elements. In
addition, as previously reported, we find that this is a young star (2.37 Gyr)
with unusually high abundances of -elements ([/Fe] = 0.31). The
evolutionary status of KIC 9821622 suggests that its Li-rich nature is the
result of internal fresh Li that is synthesized through the Cameron-Fowler
mechanism near the luminosity bump. However, its peculiar enhancement of
, Fe-peak, and \textit{r}-process elements opens the possibility of
external contamination by material enriched by a supernova explosion. Although
it is less likely, planet accretion cannot be ruled out.Comment: Letter, 6 pages, 3 figures, Accepted for publication in A&A. - Some
language editing include
Derivation of the physical parameters of the jet in S5 0836+710 from stability analysis
A number of extragalactic jets show periodic structures at different scales
that can be associated with growing instabilities. The wavelengths of the
developing instability modes and their ratios depend on the flow parameters, so
the study of those structures can shed light on jet physics at the scales
involved. In this work, we use the fits to the jet ridgeline obtained from
different observations of S5 B0836710 and apply stability analysis of
relativistic, sheared flows to derive an estimate of the physical parameters of
the jet. Based on the assumption that the observed structures are generated by
growing Kelvin-Helmholtz (KH) instability modes, we have run numerical
calculations of stability of a relativistic, sheared jet over a range of
different jet parameters. We have spanned several orders of magnitude in
jet-to-ambient medium density ratio, and jet internal energy, and checked
different values of the Lorentz factor and shear layer width. This represents
an independent method to obtain estimates of the physical parameters of a jet.
By comparing the fastest growing wavelengths of each relevant mode given by the
calculations with the observed wavelengths reported in the literature, we have
derived independent estimates of the jet Lorentz factor, specific internal
energy, jet-to-ambient medium density ratio and Mach number. We obtain a jet
Lorentz factor , specific internal energy of , jet-to-ambient medium density ratio of , and an internal (classical) jet Mach number of . We also find that the wavelength ratios are better recovered by a
transversal structure with a width of of the jet radius. This
method represents a powerful tool to derive the jet parameters in all jets
showing helical patterns with different wavelengths.Comment: Accepted for publication in A&A, 15 pages, 12 figure
Anderson transition in a three dimensional kicked rotor
We investigate Anderson localization in a three dimensional (3d) kicked
rotor. By a finite size scaling analysis we have identified a mobility edge for
a certain value of the kicking strength . For dynamical
localization does not occur, all eigenstates are delocalized and the spectral
correlations are well described by Wigner-Dyson statistics. This can be
understood by mapping the kicked rotor problem onto a 3d Anderson model (AM)
where a band of metallic states exists for sufficiently weak disorder. Around
the critical region we have carried out a detailed study of the
level statistics and quantum diffusion. In agreement with the predictions of
the one parameter scaling theory (OPT) and with previous numerical simulations
of a 3d AM at the transition, the number variance is linear, level repulsion is
still observed and quantum diffusion is anomalous with . We note that in the 3d kicked rotor the dynamics is not random but
deterministic. In order to estimate the differences between these two
situations we have studied a 3d kicked rotor in which the kinetic term of the
associated evolution matrix is random. A detailed numerical comparison shows
that the differences between the two cases are relatively small. However in the
deterministic case only a small set of irrational periods was used. A
qualitative analysis of a much larger set suggests that the deviations between
the random and the deterministic kicked rotor can be important for certain
choices of periods. Contrary to intuition correlations in the deterministic
case can either suppress or enhance Anderson localization effects.Comment: 10 pages, 5 figure
Computability of the causal boundary by using isocausality
Recently, a new viewpoint on the classical c-boundary in Mathematical
Relativity has been developed, the relations of this boundary with the
conformal one and other classical boundaries have been analyzed, and its
computation in some classes of spacetimes, as the standard stationary ones, has
been carried out.
In the present paper, we consider the notion of isocausality given by
Garc\'ia-Parrado and Senovilla, and introduce a framework to carry out
isocausal comparisons with standard stationary spacetimes. As a consequence,
the qualitative behavior of the c-boundary (at the three levels: point set,
chronology and topology) of a wide class of spacetimes, is obtained.Comment: 44 pages, 5 Figures, latex. Version with minor changes and the
inclusion of Figure
BCS theory for finite size superconductors
We study finite size effects in superconducting metallic grains and determine
the BCS order parameter and the low energy excitation spectrum in terms of
size, and shape of the grain. Our approach combines the BCS self-consistency
condition, a semiclassical expansion for the spectral density and interaction
matrix elements, and corrections to the BCS mean-field. In chaotic grains
mesoscopic fluctuations of the matrix elements lead to a smooth dependence of
the order parameter on the excitation energy. In the integrable case we observe
shell effects when e.g. a small change in the electron number leads to large
changes in the energy gap.Comment: 4 pages, 2 figures, journal versio
Modified Gravity at Astrophysical Scales
Using a perturbative approach we solve stellar structure equations for
low-density (solar-type) stars whose interior is described with a polytropic
equation of state in scenarios involving a subset of modified gravity theories.
Rather than focusing on particular theories, we consider a model-independent
approach in which deviations from General Relativity are effectively described
by a single parameter . We find that for length scales below those set by
stellar General Relativistic radii the modifications introduced by modified
gravity can affect the computed values of masses and radii. As a consequence,
the stellar luminosity is also affected. We discuss possible further
implications for higher density stars and observability of the effects before
described.Comment: 12 pages, 7figures, matches published versio
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