2,512 research outputs found
Model validation for a noninvasive arterial stenosis detection problem
Copyright @ 2013 American Institute of Mathematical SciencesA current thrust in medical research is the development of a non-invasive method for detection, localization, and characterization of an arterial stenosis (a blockage or partial blockage in an artery). A method has been proposed to detect shear waves in the chest cavity which have been generated by disturbances in the blood flow resulting from a stenosis. In order to develop this methodology further, we use both one-dimensional pressure and shear wave experimental data from novel acoustic phantoms to validate corresponding viscoelastic mathematical models, which were developed in a concept paper [8] and refined herein. We estimate model parameters which give a good fit (in a sense to be precisely defined) to the experimental data, and use asymptotic error theory to provide confidence intervals for parameter estimates. Finally, since a robust error model is necessary for accurate parameter estimates and confidence analysis, we include a comparison of absolute and relative models for measurement error.The National Institute of Allergy and Infectious Diseases, the Air Force Office of Scientific Research, the Deopartment of Education and the Engineering and Physical Sciences Research Council (EPSRC)
N=1 Supergravity Chaotic Inflation in the Braneworld Scenario
We study a N=1 Supergravity chaotic inflationary model, in the context of the
braneworld scenario. It is shown that successful inflation and reheating
consistent with phenomenological constraints can be achieved via the new terms
in the Friedmann equation arising from brane physics. Interestingly, the model
satisfies observational bounds with sub-Planckian field values, implying that
chaotic inflation on the brane is free from the well known difficulties
associated with the presence of higher order non-renormalizable terms in the
superpotential. A bound on the mass scale of the fifth dimension, M_5 \gsim
1.3 \times 10^{-6} M_P, is obtained from the requirement that the reheating
temperature be higher than the temperature of the electroweak phase transition.Comment: 5 pages, 1 Table, Revtex
Exact solution (by algebraic methods) of the lattice Schwinger model in the strong-coupling regime
Using the monomer--dimer representation of the lattice Schwinger model, with
Wilson fermions in the strong--coupling regime (), we
evaluate its partition function, , exactly on finite lattices. By studying
the zeroes of in the complex plane for a large number of
small lattices, we find the zeroes closest to the real axis for infinite
stripes in temporal direction and spatial extent and 3. We find evidence
for the existence of a critical value for the hopping parameter in the
thermodynamic limit on the real axis at about . By looking at the behaviour of quantities, such as the chiral
condensate, the chiral susceptibility and the third derivative of with
respect to , close to the critical point , we find some indications
for a continuous phase transition.Comment: 22 pages (6 figures
DLCQ of Fivebranes, Large N Screening, and L^2 Harmonic Forms on Calabi Manifolds
We find one explicit L^2 harmonic form for every Calabi manifold. Calabi
manifolds are known to arise in low energy dynamics of solitons in Yang-Mills
theories, and the L^2 harmonic form corresponds to the supersymmetric ground
state. As the normalizable ground state of a single U(N) instanton, it is
related to the bound state of a single D0 to multiple coincident D4's in the
non-commutative setting, or equivalently a unit Kaluza-Klein mode in DLCQ of
fivebrane worldvolume theory. As the ground state of nonabelian massless
monopoles realized around a monopole-``anti''-monopole pair, it shows how the
long range force between the pair is screened in a manner reminiscent of large
N behavior of quark-anti-quark potential found in AdS/CFT correspondence.Comment: LaTeX, 23 page
Model of M-theory with Eleven Matrices
We show that an action of a supermembrane in an eleven-dimensional spacetime
with a semi-light-cone gauge can be written only with Nambu-Poisson bracket and
an invariant symmetric bilinear form under an approximation. Thus, the action
under the conditions is manifestly covariant under volume preserving
diffeomorphism even when the world-volume metric is flat. Next, we propose two
3-algebraic models of M-theory which are obtained as a second quantization of
an action that is equivalent to the supermembrane action under the
approximation. The second quantization is defined by replacing Nambu-Poisson
bracket with finite-dimensional 3-algebras' brackets. Our models include eleven
matrices corresponding to all the eleven space-time coordinates in M-theory
although they possess not SO(1,10) but SO(1,2) x SO(8) or SO(1,2) x SU(4) x
U(1) covariance. They possess N=1 space-time supersymmetry in eleven dimensions
that consists of 16 kinematical and 16 dynamical ones. We also show that the
SU(4) model with a certain algebra reduces to BFSS matrix theory if DLCQ limit
is taken.Comment: 20 pages, references, a table and discussions added, typos correcte
Interpreting the Wide Scattering of Synchronized Traffic Data by Time Gap Statistics
Based on the statistical evaluation of experimental single-vehicle data, we
propose a quantitative interpretation of the erratic scattering of flow-density
data in synchronized traffic flows. A correlation analysis suggests that the
dynamical flow-density data are well compatible with the so-called jam line
characterizing fully developed traffic jams, if one takes into account the
variation of their propagation speed due to the large variation of the netto
time gaps (the inhomogeneity of traffic flow). The form of the time gap
distribution depends not only on the density, but also on the measurement cross
section: The most probable netto time gap in congested traffic flow upstream of
a bottleneck is significantly increased compared to uncongested freeway
sections. Moreover, we identify different power-law scaling laws for the
relative variance of netto time gaps as a function of the sampling size. While
the exponent is -1 in free traffic corresponding to statistically independent
time gaps, the exponent is about -2/3 in congested traffic flow because of
correlations between queued vehicles.Comment: For related publications see http://www.helbing.or
Self-dual Vortices in the Generalized Abelian Higgs Model with Independent Chern-Simons Interaction
Self-dual vortex solutions are studied in detail in the generalized abelian
Higgs model with independent Chern-Simons interaction. For special choices of
couplings, it reduces to a Maxwell-Higgs model with two scalar fields, a
Chern-Simons-Higgs model with two scalar fields, or other new models. We
investigate the properties of the static solutions and perform detailed
numerical analyses. For the Chern-Simons-Higgs model with two scalar fields in
an asymmetric phase, we prove the existence of multisoliton solutions which can
be viewed as hybrids of Chern-Simons vortices and lumps. We also discuss
solutions in a symmetric phase with the help of the corresponding exact
solutions in its nonrelativistic limit. The model interpolating all three
models---Maxwell-Higgs, Chern-Simons-Higgs, and models--- is discussed
briefly. Finally we study the possibility of vortex solutions with half-integer
vorticity in the special case of the model. Numerical results are negative.Comment: 32 pages, LATEX, SNUTP 92-7
Two Phases for Compact U(1) Pure Gauge Theory in Three Dimensions
We show that if actions more general than the usual simple plaquette action
() are considered, then compact {\sl pure} gauge
theory in three Euclidean dimensions can have two phases. Both phases are
confining phases, however in one phase the monopole condensate spontaneously
`magnetizes'. For a certain range of parameters the phase transition is
continuous, allowing the definition of a strong coupling continuum limit. We
note that these observations have relevance to the `fictitious' gauge field
theories of strongly correlated electron systems, such as those describing
high- superconductors.Comment: 10 pages, Plain TeX, uses harvma
Holography in asymptotically flat space-times and the BMS group
In a previous paper (hep-th/0306142) we have started to explore the
holographic principle in the case of asymptotically flat space-times and
analyzed in particular different aspects of the Bondi-Metzner-Sachs (BMS)
group, namely the asymptotic symmetry group of any asymptotically flat
space-time. We continue this investigation in this paper. Having in mind a
S-matrix approach with future and past null infinity playing the role of
holographic screens on which the BMS group acts, we connect the IR sectors of
the gravitational field with the representation theory of the BMS group. We
analyze the (complicated) mapping between bulk and boundary symmetries pointing
out differences with respect to the AdS/CFT set up. Finally we construct a BMS
phase space and a free hamiltonian for fields transforming w.r.t BMS
representations. The last step is supposed to be an explorative investigation
of the boundary data living on the degenerate null manifold at infinity.Comment: 31 pages, several changes in section 3 and 7 and references update
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