33,373 research outputs found
On Gravity localization under Lorentz Violation in warped scenario
Recently Rizzo studied the Lorentz Invariance Violation (LIV) in a brane
scenario with one extra dimension where he found a non-zero mass for the
four-dimensional graviton. This leads to the conclusion that five-dimensional
models with LIV are not phenomenologically viable. In this work we re-examine
the issue of Lorentz Invariance Violation in the context of higher dimensional
theories. We show that a six-dimensional geometry describing a string-like
defect with a bulk-dependent cosmological constant can yield a massless 4D
graviton, if we allow the cosmological constant variation along the bulk, and
thus can provides a phenomenologically viable solution for the gauge hierarchy
problem.Comment: 13 pages, 2 figures. To appear in Physics Letters
Brane bounce-type configurations in a string-like scenario
Brane world six dimensional scenarios with string like metric has been
proposed to alleviate the problem of field localization. However, these models
have been suffering from some drawbacks related with energy conditions as well
as from difficulties to find analytical solutions. In this work, we propose a
model where a brane is made of a scalar field with bounce-type configurations
and embedded in a bulk with a string-like metric. This model produces a sound
AdS scenario where none of the important physical quantities is infinite. Among
these quantities are the components of the energy momentum tensor, which have
its positivity ensured by a suitable choice of the bounce configurations.
Another advantage of this model is that the warp factor can be obtained
analytically from the equations of motion for the scalar field, obtaining as a
result a thick brane configuration, in a six dimensional context. Moreover, the
study of the scalar field localization in these scenario is done.Comment: 15 pages, 5 figures. To appear in Physics Letters
Analytical Determination of the Attack Transient in a Clarinet With Time-Varying Blowing Pressure
This article uses a basic model of a reed instrument , known as the lossless
Raman model, to determine analytically the envelope of the sound produced by
the clarinet when the mouth pressure is increased gradually to start a note
from silence. Using results from dynamic bifur-cation theory, a prediction of
the amplitude of the sound as a function of time is given based on a few
parameters quantifying the time evolution of mouth pressure. As in previous
uses of this model, the predictions are expected to be qualitatively consistent
with simulations using the Raman model, and observations of real instruments.
Model simulations for slowly variable parameters require very high precisions
of computation. Similarly, any real system, even if close to the model would be
affected by noise. In order to describe the influence of noise, a modified
model is developed that includes a stochastic variation of the parameters. Both
ideal and stochastic models are shown to attain a minimal amplitude at the
static oscillation threshold. Beyond this point, the amplitude of the
oscillations increases exponentially, although some time is required before the
oscillations can be observed at the '' dynamic oscillation threshold ''. The
effect of a sudden interruption of the growth of the mouth pressure is also
studied, showing that it usually triggers a faster growth of the oscillations
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