1,416 research outputs found
Neutrino spin oscillations in gravitational fields
We study neutrino spin oscillations in black hole backgrounds. In the case of
a charged black hole, the maximum frequency of oscillations is a monotonically
increasing function of the charge. For a rotating black hole, the maximum
frequency decreases with increasing the angular momentum. In both cases, the
frequency of spin oscillations decreases as the distance from the black hole
grows. As a phenomenological application of our results, we study simple
bipolar neutrino system which is an interesting example of collective neutrino
oscillations. We show that the precession frequency of the flavor pendulum as a
function of the neutrino number density will be higher for a
charged/non-rotating black hole compared with a neutral/rotating black hole
respectively.Comment: Replaced with the version accepted for publication in Gravitation and
Cosmology, Springer. 10 pages. 4 figure
Thermodynamics of a Bardeen black hole in noncommutative space
In this paper, we examine the effects of space noncommutativity on the
thermodynamics of a Bardeen charged regular black hole. For a suitable choice
of sets of parameters, the behavior of the singularity, horizon, mass function,
black hole mass, temperature, entropy and its differential, area and energy
distribution of the Bardeen solution have been discussed graphically for both
noncommutative and commutative spaces. Graphs show that the commutative
coordinates extrapolate all such quantities (except temperature) for a given
set of parameters. It is interesting to mention here that these sets of
parameters provide the singularity (essential for ) and horizon
( for ) for the black hole solution in noncommutative space,
while for commutative space no such quantity exists.Comment: 17 pages, 9 figures, accepted for publication in Canadian J. Physic
Noncommutative fluid dynamics in the Snyder space-time
In this paper, we construct for the first time the non-commutative fluid with
the deformed Poincare invariance. To this end, the realization formalism of the
noncommutative spaces is employed and the results are particularized to the
Snyder space. The non-commutative fluid generalizes the fluid model in the
action functional formulation to the noncommutative space. The fluid equations
of motion and the conserved energy-momentum tensor are obtained.Comment: 12 pages. Version published by Phys. Rev.
Finite Temperature Path Integral Method for Fermions and Bosons: a Grand Canonical Approach
The calculation of the density matrix for fermions and bosons in the Grand
Canonical Ensemble allows an efficient way for the inclusion of fermionic and
bosonic statistics at all temperatures. It is shown that in a Path Integral
Formulation fermionic density matrix can be expressed via an integration over a
novel representation of the universal temperature dependent functional. While
several representations for the universal functional have already been
developed, they are usually presented in a form inconvenient for computer
calculations. In this work we discuss a new representation for the universal
functional in terms of Hankel functions which is advantageous for computational
applications. Temperature scaling for the universal functional and its
derivatives are also introduced thus allowing an efficient rescaling rather
then recalculation of the functional at different temperatures. A simple
illustration of the method of calculation of density profiles in Grand
Canonical ensemble is presented using a system of noninteracting electrons in a
finite confining potential.Comment: 13 pages 3 figure
The analysis of phase, dispersion and group delay in InGaAsP/InP microring resonator
The Vernier operation with signal flow graph (SFG) is a graphical approach for analyzing the intricate photonic circuits mathematically and quick calculation of optical transfer function. Analysis of a cascaded microring resonators (CMRR) made of InGaAsP/InP semiconductor is presented using the signal flow graph (SFG) method which enables modelling the transfer function of the passive CMRR. These passive filters are mostly characterized by their frequency response. The theoretical calculations of the system is performed by the Vernier effects analysis. Two MRRs with radius of 100 μm which are vertically coupled together are used to generate resonant peaks. Here, the phase, dispersion and group delay of the generated signals are analyzed
Temporal soliton: generation and applications in optical communications
In general, the temporal and spectral shape of a short optical soliton pulse does not change during propagation in a nonlinear medium due to the Kerr effect which balances the chromatic dispersion. Microring resonators (MRRs) can be used to generate chaotic signals. The smaller MRR is used to form the stopping and filtering system. The employed optical material was InGaAsP/InP, which is suitable for use in the practical devices and systems. The tuning and manipulation of the bandwidth of the soliton signals is recommended to control the output signals. The MRRs can be applied to produce ultra-short pulses, where the medium has a nonlinear condition, thus, using of soliton laser becomes an interesting subject. Therefore, an ultra-short pulse in the scope of pico and femtoseconds soliton pulses can be utilized for many applications in engineering communications. In order to obtain smaller bandwidth of the optical soliton pulses, we propose integrating series of MRRs. In this study, 5 fs soliton pulse could be generated using a series of five MRRs. The soliton signals experience less loss during the propagation, where they are more stable compared to normal conventional laser pulses. Using the series of MRRs connected to an add/drop system, shorter soliton bandwidth and highly multi soliton pulses can be obtained. Therefore, generation of ultra-short multi picosecond (1.2 and 1.3 ps), could be performed, where the radius of the add/drop system has been selected to 50 and 300 μm respectively
Neural Network-Based Equations for Predicting PGA and PGV in Texas, Oklahoma, and Kansas
Parts of Texas, Oklahoma, and Kansas have experienced increased rates of
seismicity in recent years, providing new datasets of earthquake recordings to
develop ground motion prediction models for this particular region of the
Central and Eastern North America (CENA). This paper outlines a framework for
using Artificial Neural Networks (ANNs) to develop attenuation models from the
ground motion recordings in this region. While attenuation models exist for the
CENA, concerns over the increased rate of seismicity in this region necessitate
investigation of ground motions prediction models particular to these states.
To do so, an ANN-based framework is proposed to predict peak ground
acceleration (PGA) and peak ground velocity (PGV) given magnitude, earthquake
source-to-site distance, and shear wave velocity. In this framework,
approximately 4,500 ground motions with magnitude greater than 3.0 recorded in
these three states (Texas, Oklahoma, and Kansas) since 2005 are considered.
Results from this study suggest that existing ground motion prediction models
developed for CENA do not accurately predict the ground motion intensity
measures for earthquakes in this region, especially for those with low
source-to-site distances or on very soft soil conditions. The proposed ANN
models provide much more accurate prediction of the ground motion intensity
measures at all distances and magnitudes. The proposed ANN models are also
converted to relatively simple mathematical equations so that engineers can
easily use them to predict the ground motion intensity measures for future
events. Finally, through a sensitivity analysis, the contributions of the
predictive parameters to the prediction of the considered intensity measures
are investigated.Comment: 5th Geotechnical Earthquake Engineering and Soil Dynamics Conference,
Austin, TX, USA, June 10-13. (2018
Dynamics of continuous-time quantum walks in restricted geometries
We study quantum transport on finite discrete structures and we model the
process by means of continuous-time quantum walks. A direct and effective
comparison between quantum and classical walks can be attained based on the
average displacement of the walker as a function of time. Indeed, a fast growth
of the average displacement can be advantageously exploited to build up
efficient search algorithms. By means of analytical and numerical
investigations, we show that the finiteness and the inhomogeneity of the
substrate jointly weaken the quantum walk performance. We further highlight the
interplay between the quantum-walk dynamics and the underlying topology by
studying the temporal evolution of the transfer probability distribution and
the lower bound of long time averages.Comment: 25 pages, 13 figure
Rare Kaon Decays
The current status of rare kaon decay experiments is reviewed. New limits in
the search for Lepton Flavor Violation are discussed, as are new measurements
of the CKM matrix.Comment: 8 pages, 3 figures, LaTeX, presented at the 3rd International
Conference on B Phyiscs and CP Violation, Taipei December 3-7, 199
Binary systems of neutral mesons in Quantum Field Theory
Quasi-degenerate binary systems of neutral mesons of the kaon type are
investigated in Quantum Field Theory (QFT). General constraints cast by
analyticity and discrete symmetries P, C, CP, TCP on the propagator (and on its
spectral function) are deduced. Its poles are the physical masses; this
unambiguously defines the propagating eigenstates. It is diagonalized and its
spectrum thoroughly investigated. The role of ``spurious'' states, of zero norm
at the poles, is emphasized, in particular for unitarity and for the
realization of TCP symmetry. The K_L-K_S mass splitting triggers a tiny
difference between their CP violating parameters \epsilon_L and \epsilon_S,
without any violation of TCP. A constant mass matrix like used in Quantum
Mechanics (QM) can only be introduced in a linear approximation to the inverse
propagator, which respects its analyticity and positivity properties; it is
however unable to faithfully describe all features of neutral mesons as we
determine them in QFT, nor to provide any sensible parameterization of eventual
effects of TCP violation. The suitable way to diagonalize the propagator makes
use of a bi-orthogonal basis; it is inequivalent to a bi-unitary transformation
(unless the propagator is normal, which cannot occur here). Problems linked
with the existence of different ``in'' and ``out'' eigenstates are smoothed
out. We study phenomenological consequences of the differences between the QFT
and QM treatments. The non-vanishing of semi-leptonic asymmetry \delta_S -
\delta_L does not signal, unlike usually claimed, TCP violation, while A_TCP
keeps vanishing when TCP is realized. We provide expressions invariant by the
rephasing of K0 and K0bar.Comment: 44 pages, 2 figures. Version to appear in Int. J. Mod. Phys.
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