507 research outputs found
Separation of variables in quasi-potential systems of bi-cofactor form
We perform variable separation in the quasi-potential systems of equations of
the form {}, where
and are Killing tensors, by embedding these systems into a
bi-Hamiltonian chain and by calculating the corresponding Darboux-Nijenhuis
coordinates on the symplectic leaves of one of the Hamiltonian structures of
the system. We also present examples of the corresponding separation
coordinates in two and three dimensions.Comment: LaTex, 30 pages, to appear in J. Phys. A: Math. Ge
Fatalities due to intestinal obstruction following the ingestion of foreign bodies
Two fatalities due to an occlusive ileus following the ingestion of foreign bodies in patients with psychiatric disorders are described. A severely mentally handicapped young man developed a temperature and died 1 h after admission to a surgical ward. At autopsy, not, vert, similar 2000 cm3 of foreign material, including broken glass and porcelain, branches, buttons, parts of clothing and other material were found in the gastrointestinal tract, leading to a complete obstruction of the distal intestine and colon with resulting faecal vomiting. The other case was even more unusual as a hair fetishist had swallowed a thick strand of his own hair, 50 cm long, also resulting in mechanical obstruction of the distal intestine
The inverse spectral problem for the discrete cubic string
Given a measure on the real line or a finite interval, the "cubic string"
is the third order ODE where is a spectral parameter. If
equipped with Dirichlet-like boundary conditions this is a nonselfadjoint
boundary value problem which has recently been shown to have a connection to
the Degasperis-Procesi nonlinear water wave equation. In this paper we study
the spectral and inverse spectral problem for the case of Neumann-like boundary
conditions which appear in a high-frequency limit of the Degasperis--Procesi
equation. We solve the spectral and inverse spectral problem for the case of
being a finite positive discrete measure. In particular, explicit
determinantal formulas for the measure are given. These formulas generalize
Stieltjes' formulas used by Krein in his study of the corresponding second
order ODE .Comment: 24 pages. LaTeX + iopart, xypic, amsthm. To appear in Inverse
Problems (http://www.iop.org/EJ/journal/IP
The Cauchy two-matrix model
We introduce a new class of two(multi)-matrix models of positive Hermitean
matrices coupled in a chain; the coupling is related to the Cauchy kernel and
differs from the exponential coupling more commonly used in similar models. The
correlation functions are expressed entirely in terms of certain biorthogonal
polynomials and solutions of appropriate Riemann-Hilbert problems, thus paving
the way to a steepest descent analysis and universality results. The
interpretation of the formal expansion of the partition function in terms of
multicolored ribbon-graphs is provided and a connection to the O(1) model. A
steepest descent analysis of the partition function reveals that the model is
related to a trigonal curve (three-sheeted covering of the plane) much in the
same way as the Hermitean matrix model is related to a hyperelliptic curve.Comment: 34 pages, 2 figures. V2: changes only to metadat
Projective dynamics and first integrals
We present the theory of tensors with Young tableau symmetry as an efficient
computational tool in dealing with the polynomial first integrals of a natural
system in classical mechanics. We relate a special kind of such first
integrals, already studied by Lundmark, to Beltrami's theorem about
projectively flat Riemannian manifolds. We set the ground for a new and simple
theory of the integrable systems having only quadratic first integrals. This
theory begins with two centered quadrics related by central projection, each
quadric being a model of a space of constant curvature. Finally, we present an
extension of these models to the case of degenerate quadratic forms.Comment: 39 pages, 2 figure
Complete Genome Sequence of Francisella endociliophora Strain FSC1006, Isolated from a Laboratory Culture of the Marine Ciliate Euplotes raikovi
A strain of Francisella endociliophora was isolated from a laboratory culture of the marine ciliate Euplotes raikovi. Here, we report the complete genome sequence of the bacterial strain FSC1006 (Francisella Strain Collection, Swedish Defence Research Agency, UmeÄ, Sweden)
Type Ia Supernova Explosion Models
Because calibrated light curves of Type Ia supernovae have become a major
tool to determine the local expansion rate of the Universe and also its
geometrical structure, considerable attention has been given to models of these
events over the past couple of years. There are good reasons to believe that
perhaps most Type Ia supernovae are the explosions of white dwarfs that have
approached the Chandrasekhar mass, M_ch ~ 1.39 M_sun, and are disrupted by
thermonuclear fusion of carbon and oxygen. However, the mechanism whereby such
accreting carbon-oxygen white dwarfs explode continues to be uncertain. Recent
progress in modeling Type Ia supernovae as well as several of the still open
questions are addressed in this review. Although the main emphasis will be on
studies of the explosion mechanism itself and on the related physical
processes, including the physics of turbulent nuclear combustion in degenerate
stars, we also discuss observational constraints.Comment: 38 pages, 4 figures, Annual Review of Astronomy and Astrophysics, in
pres
Projective dynamics and classical gravitation
Given a real vector space V of finite dimension, together with a particular
homogeneous field of bivectors that we call a "field of projective forces", we
define a law of dynamics such that the position of the particle is a "ray" i.e.
a half-line drawn from the origin of V. The impulsion is a bivector whose
support is a 2-plane containing the ray. Throwing the particle with a given
initial impulsion defines a projective trajectory. It is a curve in the space
of rays S(V), together with an impulsion attached to each ray. In the simplest
example where the force is identically zero, the curve is a straight line and
the impulsion a constant bivector. A striking feature of projective dynamics
appears: the trajectories are not parameterized.
Among the projective force fields corresponding to a central force, the one
defining the Kepler problem is simpler than those corresponding to other
homogeneities. Here the thrown ray describes a quadratic cone whose section by
a hyperplane corresponds to a Keplerian conic. An original point of view on the
hidden symmetries of the Kepler problem emerges, and clarifies some remarks due
to Halphen and Appell. We also get the unexpected conclusion that there exists
a notion of divergence-free field of projective forces if and only if dim V=4.
No metric is involved in the axioms of projective dynamics.Comment: 20 pages, 4 figure
Constrained Simulations of the Real Universe: the Local Supercluster
We present cosmological simulations which closely mimic the real Universe
within 100Mpc of the Local Group. The simulations, called Constrained
Simulations, reproduce the large-scale density field with major nearby
structures, including the Local Group, the Coma and Virgo clusters, the Great
Attractor, the Perseus-Pices, and the Local Supercluster, in approximately
correct locations. The MARK III survey of peculiar velocities of the observed
structures inside 80Mpc/h sphere is used to constrain the initial conditions.
Fourier modes on scales larger then 5Mpc/h are dominated by the constraints,
while small scale waves are random. The main aim of this paper is the structure
of the Local Supercluster (LSC; 30Mpc/h around the Virgo cluster) and the Local
Group environment. We find that at the current epoch most of the mass
(7.5e14Msun/h) of the LSC is located in a filament roughly centered on the
Virgo cluster and extending over 40Mpc/h. The simulated Local Group (LG) is
located in an adjacent smaller filament, which is not a part of the main body
of the LSC, and has a peculiar velocity of 250kms toward the Virgo cluster. The
peculiar velocity field in the LSC region is complicated and is drastically
different from the field assumed in the Virgocentric infall models. The
peculiar velocity flow in the vicinity of the LG in the simulation is ``cold'':
the peculiar line-of-sight velocity dispersion within 7Mpc/h of the LG is less
than 60km/s, comparable to the observed velocity dispersion of nearby galaxies.Comment: 22 pages, 9 figures, submitted to ApJ, high resolution version is
available at http://astro.nmsu.edu/~aklypin/HOFFMA
Spectroscopy Apparatus for the Measurement of The Hyperfine Structure of Antihydrogen
The ASACUSA CUSP collaboration at the Antiproton Decelerator (AD) of CERN is
planning to measure the ground-state hyperfine splitting of antihydrogen using
an atomic spectroscopy beamline. We describe here the latest developments on
the spectroscopy apparatus developed to be coupled to the antihydrogen
production setup (CUSP).Comment: Proceedings of the 11th International Conference on Low Energy
Antiproton Physics (LEAP 2013) held in Uppsala, Sweden, 10 to 15 June, 201
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