3,615 research outputs found
Generation of boundary and boundary-layer fitting grids
The details of extended physical processes, such as the gas dynamic flow over an airfoil, the reactive flow through a combustor, or the electric field in a multi-contact transistor, are understood by solving the differential equations of a mathematical model of the process. The accuracy of finite difference methods for the numerical solution of the equations is increased if the underlying mesh fits the region boundaries and is closely spaced in regions where the solution is rapidly varying. Automatic methods for producing a satisfactorily adjusted mesh were developed for one dimensional problems. In one simple, effective scheme of this kind the unknown function and the distribution of mesh modes are found simultaneously, the nodes being placed so that they correspond to points uniformly spaced on the solution curve. In a two dimensional generalization, the nodes correspond to points equally spaced on the solution surface in two directions that are as nearly orthogonal as possible. Examples of such meshes are shown
Quantum spin glass in anisotropic dipolar systems
The spin-glass phase in the \LHx compound is considered. At zero transverse
field this system is well described by the classical Ising model. At finite
transverse field deviations from the transverse field quantum Ising model are
significant, and one must take properly into account the hyperfine
interactions, the off-diagonal terms in the dipolar interactions, and details
of the full J=8 spin Hamiltonian to obtain the correct physical picture. In
particular, the system is not a spin glass at finite transverse fields and does
not show quantum criticality.Comment: 6 pages, 2 figures, to appear in J. Phys. Condens. Matter
(proceedings of the HFM2006 conference
Alternative Large Nc Schemes and Chiral Dynamics
We compare the dependences on the number of colors of the leading pion pion
scattering amplitudes using the single index quark field and two index quark
fields. These are seen to have different relationships to the scattering
amplitudes suggested by chiral dynamics which can explain the long puzzling
pion pion s wave scattering up to about 1 GeV. This may be interesting for
getting a better understanding of the large Nc approach as well as for
application to recently proposed technicolor models.Comment: RevTex, two-columns, 6 page
Semi-leptonic (1968) decays as a scalar meson probe
The unusual multiplet structures associated with the light spin zero mesons
have recently attracted a good deal of theoretical attention. Here we discuss
some aspects associated with the possibility of getting new experimental
information on this topic from semi-leptonic decays of heavy charged mesons
into an isosinglet scalar or pseudoscalar plus leptons.Comment: 11 pages, 4 figure
Toy model for two chiral nonets
Motivated by the possibility that nonets of scalar mesons might be described
as mixtures of "two quark" and "four quark" components, we further study a toy
model in which corresponding chiral nonets (containing also the pseudoscalar
partners) interact with each other. Although the "two quark" and "four quark"
chiral fields transform identically under SU(3) SU(3)
transformations they transform differently under the U(1) transformation
which essentially counts total (quark + antiquark) content of the mesons. To
implement this we formulate an effective Lagrangian which mocks up the U(1)
behavior of the underlying QCD. We derive generating equations which yield Ward
identity type relations based only on the assumed symmetry structure. This is
applied to the mass spectrum of the low lying pseudoscalars and scalars. as
well as their "excitations". Assuming isotopic spin invariance, it is possible
to disentangle the amount of"two quark" vs."four quark" content in the
pseudoscalar type states and in the scalar type states.
It is found that a small "four quark" content in the lightest pseudoscalars is
consistent with a large "four quark" content in the lightest of the scalar
mesons. The present toy model also allows one to easily estimate the
strength of a "four quark" vacuum condensate. There seems to be a rich and
interesting structure.Comment: Numerical results updated, typos corrected, references update
Exact relativistic beta decay endpoint spectrum
The exact relativistic form for the beta decay endpoint spectrum is derived
and presented in a simple factorized form. We show that our exact formula can
be well approximated to yield the endpoint form used in the fit method of the
KATRIN collaboration. We also discuss the three neutrino case and how
information from neutrino oscillation experiments may be useful in analyzing
future beta decay endpoint experiments.Comment: 12 pages, 3 figure
Charged Lepton Electric Dipole Moments from TeV Scale Right-handed Neutrinos
We study the connection between charged lepton electric dipole moments,
, and seesaw neutrino mass generation in a simple two Higgs
doublet extension of the Standard Model plus three right-handed neutrinos (RHN)
, . For RHN with hierarchical masses and at least one with mass
in the 10 TeV range we obtain the upper bounds of
e-cm and e-cm. Our scenario favors the normal
mass hierarchy for the light neutrinos. We also calculated the cross section
for e^-e^- \ra W^- W^- in a high luminosity collider with constraints from
neutrinoless double beta decay of nuclei included. Among the rare muon decay
experiments we find that \mu\ra e\gamma is most sensitive and the upper limit
is .Comment: references added, typos correcte
Motion of a Particle with Isospin in the Presence of a Monopole
From a consistent expression for the quadriforce describing the interaction
between a coloured particle and gauge fields, we investigate the relativistic
motion of a particle with isospin interacting with a BPS monopole and with a
Julia-Zee dyon. The analysis of such systems reveals the existence of
unidimensional unbounded motion and asymptotic trajectories restricted to
conical surfaces, which resembles the equivalent case of Electromagnetism.Comment: 10 pages, 2 figures, onecolum
Generating dynamic higher-order Markov models in web usage mining
Markov models have been widely used for modelling users’ web navigation behaviour. In previous work we have presented a dynamic clustering-based Markov model that accurately represents second-order transition probabilities given by a collection of navigation sessions. Herein, we propose a generalisation of the method that takes into account higher-order conditional probabilities. The method makes use of the state cloning concept together with a clustering technique to separate the navigation paths that reveal differences in the conditional probabilities. We report on experiments conducted with three real world data sets. The results show that some pages require a long history to understand the users choice of link, while others require only a short history. We also show that the number of additional states induced by the method can be controlled through a probability threshold parameter
A Search for Distant Galactic Cepheids Toward l=60
We present results of a survey of a 6-square-degree region near l=60, b=0 to
search for distant Milky Way Cepheids. Few MW Cepheids are known at distances
>~ R_0, limiting large-scale MW disk models derived from Cepheid kinematics;
this work was designed to find a sample of distant Cepheids for use in such
models. The survey was conducted in the V and I bands over 8 epochs, to a
limiting I~=18, with a total of ~ 5 million photometric observations of ~ 1
million stars. We present a catalog of 578 high-amplitude variables discovered
in this field. Cepheid candidates were selected from this catalog on the basis
of variability and color change, and observed again the following season. We
confirm 10 of these candidates as Cepheids with periods from 4 to 8 days, most
at distances > 3 kpc. Many of the Cepheids are heavily reddened by intervening
dust, some with implied extinction A_V > 10 mag. With a future addition of
infrared photometry and radial velocities, these stars alone can provide a
constraint on R_0 to 8%, and in conjunction with other known Cepheids should
provide good estimates of the global disk potential ellipticity.Comment: 18 pages, 4 tables, 13 figures (LaTeX / AASTeX
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