71 research outputs found
Lateral stress evolution in chromium sulfide cermets with varying excess chromium
The shock response of chromium sulfide-chromium, a cermet of potential interest as a matrix material for ballistic applications, has been investigated at two molar ratios. Using a combustion synthesis technique allowed for control of the molar ratio of the material, which was investigated under near-stoichiometric (cermet) and excess chromium (interpenetrating composite) conditions, representing chromium:sulfur molar ratios of 1.15:1 and 4:1, respectively. The compacts were investigated via the plate-impact technique, which allowed the material to be loaded under a onedimensional state of strain. Embedded manganin stress gauges were employed to monitor the temporal evolution of longitudinal and lateral components of stress in both materials. Comparison of these two components has allowed assessment of the variation of material shear strength both with impact pressure/strain-rate and time for the two molar ratio conditions. The two materials exhibited identical material strength despite variations in their excess chromium content
Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation
We study a cosmological scenario in which the DBI action governing the motion
of a D3-brane in a higher-dimensional spacetime is supplemented with an induced
gravity term. The latter reduces to the quartic Galileon Lagrangian when the
motion of the brane is non-relativistic and we show that it tends to violate
the null energy condition and to render cosmological fluctuations ghosts. There
nonetheless exists an interesting parameter space in which a stable phase of
quasi-exponential expansion can be achieved while the induced gravity leaves
non trivial imprints. We derive the exact second-order action governing the
dynamics of linear perturbations and we show that it can be simply understood
through a bimetric perspective. In the relativistic regime, we also calculate
the dominant contribution to the primordial bispectrum and demonstrate that
large non-Gaussianities of orthogonal shape can be generated, for the first
time in a concrete model. More generally, we find that the sign and the shape
of the bispectrum offer powerful diagnostics of the precise strength of the
induced gravity.Comment: 34 pages including 9 figures, plus appendices and bibliography.
Wordings changed and references added; matches version published in JCA
Combined local and equilateral non-Gaussianities from multifield DBI inflation
We study multifield aspects of Dirac-Born-Infeld (DBI) inflation. More
specifically, we consider an inflationary phase driven by the radial motion of
a D-brane in a conical throat and determine how the D-brane fluctuations in the
angular directions can be converted into curvature perturbations when the
tachyonic instability arises at the end of inflation. The simultaneous presence
of multiple fields and non-standard kinetic terms gives both local and
equilateral shapes for non-Gaussianities in the bispectrum. We also study the
trispectrum, pointing out that it acquires a particular momentum dependent
component whose amplitude is given by . We show that
this relation is valid in every multifield DBI model, in particular for any
brane trajectory, and thus constitutes an interesting observational signature
of such scenarios.Comment: 38 pages, 11 figures. Typos corrected; references added. This version
matches the one in press by JCA
The inflationary bispectrum with curved field-space
We compute the covariant three-point function near horizon-crossing for a
system of slowly-rolling scalar fields during an inflationary epoch, allowing
for an arbitrary field-space metric. We show explicitly how to compute its
subsequent evolution using a covariantized version of the separate universe or
"delta-N" expansion, which must be augmented by terms measuring curvature of
the field-space manifold, and give the nonlinear gauge transformation to the
comoving curvature perturbation. Nonlinearities induced by the field-space
curvature terms are a new and potentially significant source of
non-Gaussianity. We show how inflationary models with non-minimal coupling to
the spacetime Ricci scalar can be accommodated within this framework. This
yields a simple toolkit allowing the bispectrum to be computed in models with
non-negligible field-space curvature.Comment: 22 pages, plus appendix and reference
On primordial trispectrum from exchanging scalar modes in general multiple field inflationary models
We make an complementary investigation of the primordial trispectrum from
exchanging intermediate scalar modes in multi-field inflation models with
generalized kinetic terms. Together with the calculation of irreducible
contributions to the primordial trispectrum in Ref.[103], we give the full
leading-order primordial trispectrum in generalized multi-field models.Comment: 15 pages, 1 figure; v2 references adde
Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
We calculate the quadra-spectrum and quint-spectrum, corresponding to five
and six point correlation functions of the curvature perturbation. For single
field inflation with standard kinetic term, the quadra-spectrum and
quint-spectrum are small, which are suppressed by slow roll parameters. The
calculation can be generalized to multiple fields. When there is no entropy
perturbation, the quadra-spectrum and quint-spectrum are suppressed as well.
With the presence of entropy perturbation, the quadra-spectrum and
quint-spectrum can get boosted. We illustrate this boost in the multi-brid
inflation model. For the curvaton scenario, the quadra-spectrum and
quint-spectrum are also large in the small r limit. We also calculate
representative terms of quadra-spectrum and quint-spectrum for inflation with
generalized kinetic terms, and estimate their order of magnitude for
quasi-single field inflation.Comment: 16 pages; v2: references added
BINGO: A code for the efficient computation of the scalar bi-spectrum
We present a new and accurate Fortran code, the BI-spectra and
Non-Gaussianity Operator (BINGO), for the efficient numerical computation of
the scalar bi-spectrum and the non-Gaussianity parameter f_{NL} in single field
inflationary models involving the canonical scalar field. The code can
calculate all the different contributions to the bi-spectrum and the parameter
f_{NL} for an arbitrary triangular configuration of the wavevectors. Focusing
firstly on the equilateral limit, we illustrate the accuracy of BINGO by
comparing the results from the code with the spectral dependence of the
bi-spectrum expected in power law inflation. Then, considering an arbitrary
triangular configuration, we contrast the numerical results with the analytical
expression available in the slow roll limit, for, say, the case of the
conventional quadratic potential. Considering a non-trivial scenario involving
deviations from slow roll, we compare the results from the code with the
analytical results that have recently been obtained in the case of the
Starobinsky model in the equilateral limit. As an immediate application, we
utilize BINGO to examine of the power of the non-Gaussianity parameter f_{NL}
to discriminate between various inflationary models that admit departures from
slow roll and lead to similar features in the scalar power spectrum. We close
with a summary and discussion on the implications of the results we obtain.Comment: v1: 5 pages, 5 figures; v2: 35 pages, 11 figures, title changed,
extensively revised; v3: 36 pages, 11 figures, to appear in JCAP. The BINGO
code is available online at
http://www.physics.iitm.ac.in/~sriram/bingo/bingo.htm
Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
Since the first limit on the (local) primordial non-Gaussianity parameter,
fNL, was obtained from COBE data in 2002, observations of the CMB have been
playing a central role in constraining the amplitudes of various forms of
non-Gaussianity in primordial fluctuations. The current 68% limit from the
7-year WMAP data is fNL=32+/-21, and the Planck satellite is expected to reduce
the uncertainty by a factor of four in a few years from now. If fNL>>1 is found
by Planck with high statistical significance, all single-field models of
inflation would be ruled out. Moreover, if the Planck satellite finds fNL=30,
then it would be able to test a broad class of multi-field models using the
four-point function (trispectrum) test of tauNL>=(6fNL/5)^2. In this article,
we review the methods (optimal estimator), results (WMAP 7-year), and
challenges (secondary anisotropy, second-order effect, and foreground) of
measuring primordial non-Gaussianity from the CMB data, present a science case
for the trispectrum, and conclude with future prospects.Comment: 33 pages, 4 figures. Invited review, accepted for publication in the
CQG special issue on nonlinear cosmological perturbations. (v2) References
added. More clarifications are added to the second-order effect and the
multi-field consistency relation, tauNL>=(6fNL/5)^2
The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
The method of a conformal transformation is applied to a general class of
single field inflation models with non-minimal coupling to gravity and
non-standard kinetic terms, in order to reduce the cosmological perturbative
calculation to the conventional minimal coupling case to all orders in
perturbation theory. Our analysis is made simple by the fact that all
perturbation variables in the comoving gauge are conformally invariant to all
orders. The structure of the vacuum, on which cosmological correlation
functions are evaluated, is also discussed. We show how quantization in the
Jordan frame for non-minimally coupled inflation models can be equivalently
implemented in the Einstein frame. It is thereafter argued that the general
N-point cosmological correlation functions (of the curvature perturbation) are
independent of the conformal frame.Comment: 15 pages, no figure, references adde
Non-relativistic Matrix Inflation
We reconsider a string theoretic inflationary model, where inflation is
driven by multiple coincident -branes in the finite limit. We show
that the finite action can be continued to the limit of large , where it
converges to the action for a wrapped -brane with units of U(1) flux.
This provides an important consistency check of the scenario and allows for
more control over certain back-reaction effects. We determine the most general
form of the action for a specific sub-class of models and examine the
non-relativistic limits of the theory where the branes move at speeds much less
than the speed of light. The non-Abelian nature of the world-volume theory
implies that the inflaton field is matrix valued and this results in
modifications to the slow-roll parameters and Hubble-flow equations. A specific
small field model of inflation is investigated where the branes move out of an
AdS throat, and observational constraints are employed to place bounds on the
background fluxes.Comment: 25 page
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