7,481 research outputs found
On the formation of current sheets in response to the compression or expansion of a potential magnetic field
The compression or expansion of a magnetic field that is initially potential
is considered. It was recently suggested by Janse & Low [2009, ApJ, 690, 1089]
that, following the volumetric deformation, the relevant lowest energy state
for the magnetic field is another potential magnetic field that in general
contains tangential discontinuities (current sheets). Here we examine this
scenario directly using a numerical relaxation method that exactly preserves
the topology of the magnetic field. It is found that of the magnetic fields
discussed by Janse & Low, only those containing magnetic null points develop
current singularities during an ideal relaxation, while the magnetic fields
without null points relax toward smooth force-free equilibria with finite
non-zero current.Comment: Accepted for publication in Ap
Corrections to deuterium hyperfine structure due to deuteron excitations
We consider the corrections to deuterium hyperfine structure originating from
the two-photon exchange between electron and deuteron, with the deuteron
excitations in the intermediate states. In particular, the motion of the two
intermediate nucleons as a whole is taken into account. The problem is solved
in the zero-range approximation. The result is in good agreement with the
experimental value of the deuterium hyperfine splitting.Comment: 7 pages, LaTe
Balian-Low Theorems in Several Variables
Recently, Nitzan and Olsen showed that Balian-Low theorems (BLTs) hold for
discrete Gabor systems defined on . Here we extend these results
to a multivariable setting. Additionally, we show a variety of applications of
the Quantitative BLT, proving in particular nonsymmetric BLTs in both the
discrete and continuous setting for functions with more than one argument.
Finally, in direct analogy of the continuous setting, we show the Quantitative
Finite BLT implies the Finite BLT.Comment: To appear in Approximation Theory 16 conference proceedings volum
Gaps tunable by electrostatic gates in strained graphene
We show that when the pseudomagnetic fields created by long wavelength
deformations are appropriately coupled with a scalar electric potential, a
significant energy gap can emerge due to the formation of a Haldane state.
Ramifications of this physical effect are examined through the study of various
strain geometries commonly seen in experiments, such as strain superlattices
and wrinkled suspended graphene. Of particular technological importance, we
consider setup where this gap can be tunable through electrostatic gates,
allowing for the design of electronic devices not realizable with other
materials.Comment: See accompanying Physics Synopsis at
http://physics.aps.org/synopsis-for/10.1103/PhysRevB.83.19543
Abelian family symmetries and the simplest models that give theta13=0 in the neutrino mixing matrix
I construct predictive models of neutrino mass and mixing that have fewer
parameters, both in the lepton sector and overall, than the default seesaw
model. The predictions are theta13=0 and one massless neutrino, with the models
having a Z4 or Z2 symmetry and just one extra degree of freedom: one real
singlet Higgs field. It has been shown that models with an unbroken family
symmetry, and with no Higgs fields other than the Standard Model Higgs doublet
produce masses and mixing matrices that have been ruled out by experiment.
Therefore, this article investigates the predictions of models with Abelian
family symmetries that involve Higgs singlets, doublets and triplets, in the
hope that they may produce the maximal and minimal mixing angles seen in the
best fit neutrino mixing matrix. I demonstrate that these models can only
produce mixing angles that are zero, maximal or unconfined by the symmetry. The
maximal mixing angles do not correspond to physical mixing, so an Abelian
symmetry can, at best, ensure that theta13=0, while leaving the solar and
atmospheric mixing angles as free parameters. To generate more features of the
best-fit mixing matrix a model with a non-Abelian symmetry and a complicated
Higgs sector would have to be used.Comment: 16 pages, no figure
Unification via intermediate symmetry breaking scales with the quartification gauge group
The idea of quark-lepton universality at high energies has been introduced as
a natural extension to the standard model. This is achieved by endowing leptons
with new degrees of freedom -- leptonic colour, an analogue of the familiar
quark colour. Grand and partially unified models which utilise this new gauge
symmetry SU(3)_\ell have been proposed in the context of the quartification
gauge group SU(3)^4. Phenomenologically successful gauge coupling constant
unification without supersymmetry has been demonstrated for cases where the
symmetry breaking leaves a residual SU(2)_\ell unbroken. Though attractive,
these schemes either incorporate ad hoc discrete symmetries and
non-renormalisable mass terms, or achieve only partial unification. We show
that grand unified models can be constructed where the quartification group can
be broken fully [i.e. no residual SU(2)_\ell] to the standard model gauge group
without requiring additional discrete symmetries or higher dimension operators.
These models also automatically have suppressed nonzero neutrino masses. We
perform a systematic analysis of the renormalisation-group equations for all
possible symmetry breaking routes from SU(3)^4 --> SU(3)_q x SU(2)_L x U(1)_Y.
This analysis indicates that gauge coupling unification can be achieved for
several different symmetry breaking patterns and we outline the requirements
that each gives on the unification scale. We also show that the unification
scenarios of those models which leave a residual SU(2)_\ell symmetry are not
unique. In both symmetry breaking cases, some of the scenarios require new
physics at the TeV scale, while others do not allow for new TeV phenomenology
in the fermionic sector.Comment: 25 page
Modeling Infiltration Kinetics Of Liquids Into Porous Alumina Preforms
MODELING INFILTRATION KINETICS OF LIQUIDS INTO POROUS ALUMINA PREFORMS. Alpha-alumina preform was infiltrated with different infiltrant and pressure for studying the infiltration kinetic. Effects of pre-sintering temperature, type of infiltrant, pressure and multiple infiltrations on the rate of infiltration into porous alumina preforms were described. The pore radius of alumina preform is calculated based on the preform water system by using Washburn model. The pore radius from this model, r of 0.0147 μm is good agreement to the average pore radius found by using mercury porosity measurement, r of 0.0170 μm. The pore radius of 0.0147 μm is used to calculate the rate of infiltration, k. The k factors are 64.83 x 10-5 ms½ and 27.11 x 10-5 ms½ for water and TiCl3 respectively without involving pressure in the calculation. On the other hand, by using pressure, the k factors are 75.14 x 10-5 ms½ and 31.40 x 10-5 ms½ for water and TiCl3 respectively. Other formulas were also included as comparisons. The kinetic of water and titanium trichloride alumina preform system is parabolic in time or linier in square root of time
Minimal Flavour Violation and Beyond
Starting from the effective-theory framework for Minimal Flavour Violation,
we give a systematic definition of next-to-minimal (quark) flavour violation in
terms of a set of spurion fields exhibiting a particular hierarchy with respect
to a small (Wolfenstein-like) parameter. A few illustrative examples and their
consequences for charged and neutral decays with different quark chiralities
are worked out in some detail. Our framework can be used as a model-independent
classification scheme for the parameterization of flavour structure from
physics beyond the Standard Model.Comment: 17 pages, no figures, phenomenological discussion extended,
references adde
Top quark chromomagnetic dipole moment in the littlest Higgs model with T-parity
The littlest Higgs model with T-parity, which is called model, predicts
the existence of the new particles, such as heavy top quark, heavy gauge
bosons, and mirror fermions. We calculate the one-loop contributions of these
new particles to the top quark chromomagnetic dipole moment . We find that the contribution of the model is one order of magnitude
smaller than the standard model prediction value.Comment: latex files, 12 pages, 3 figure
The Multi-Colored Hot Interstellar Medium of "The Antennae" Galaxies (NGC 4038/39)
We report the results of the analysis of the extended soft emission
discovered in the Chandra ACIS pointing at the merging system NGC 4038/39 (the
Antennae). We present a `multi-color' X-ray image that suggests both extensive
absorption by the dust in this system, peaking in the contact region, as well
as variations in the temperature of different emitting regions of the hot
interstellar medium (ISM). Spectral fits to multi-component thermal emission
models confirm this picture and give a first evaluation of the parameters of
the hot plasma. We compare the diffuse X-ray emission with radio continuum
(6cm), HI, CO, and H images to take a first look at the multi-phase ISM
of the Antennae galaxies. We find that the hot (X-ray) and cold (CO) gas have
comparable thermal pressures in the two nuclear regions. We also conclude that
the displacement between the peak of the diffuse X-ray emission in the north of
the galaxy system, towards the inner regions of the northern spiral arm (as
defined by H, radio continuum and HI), could result from ram pressure
of infalling HI clouds.Comment: Accepted by Ap
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