23,729 research outputs found
Constraining supersymmetry from the satellite experiments
In this paper we study the detectability of -rays from dark matter
annihilation in the subhalos of the Milky Way by the satellite-based
experiments, EGRET and GLAST. We work in the frame of supersymmetric extension
of the standard model and assume the lightest neutralino being the dark matter
particles. Based on the N-body simulation of the evolution of dark matter
subhalos we first calculate the average intensity distribution of this new
class of -ray sources by neutralino annihilation. It is possible to
detect these -ray sources by EGRET and GLAST. Conversely, if these
sources are not detected the nature of the dark matter particls will be
constrained by these experiments, which, however, depending on the
uncertainties of the subhalo profile.Comment: 19 pages, 5 gigures; references added, more discussions adde
Transonic wind-tunnel tests of a lifting parachute model
Wind-tunnel tests have been made in the Langley transonic dynamics tunnel on a 0.25-scale model of Sandia Laboratories' 3.96-meter (13-foot), slanted ribbon design, lifting parachute. The lifting parachute is the first stage of a proposed two-stage payload delivery system. The lifting parachute model was attached to a forebody representing the payload. The forebody was designed and installed in the test section in a manner which allowed rotational freedom about the pitch and yaw axes. Values of parachute axial force coefficient, rolling moment coefficient, and payload trim angles in pitch and yaw are presented through the transonic speed range. Data are presented for the parachute in both the reefed and full open conditions. Time history records of lifting parachute deployment and disreefing tests are included
Perturbation Theory of Schr\"odinger Operators in Infinitely Many Coupling Parameters
In this paper we study the behavior of Hamilton operators and their spectra
which depend on infinitely many coupling parameters or, more generally,
parameters taking values in some Banach space. One of the physical models which
motivate this framework is a quantum particle moving in a more or less
disordered medium. One may however also envisage other scenarios where
operators are allowed to depend on interaction terms in a manner we are going
to discuss below. The central idea is to vary the occurring infinitely many
perturbing potentials independently. As a side aspect this then leads naturally
to the analysis of a couple of interesting questions of a more or less purely
mathematical flavor which belong to the field of infinite dimensional
holomorphy or holomorphy in Banach spaces. In this general setting we study in
particular the stability of selfadjointness of the operators under discussion
and the analyticity of eigenvalues under the condition that the perturbing
potentials belong to certain classes.Comment: 25 pages, Late
Observation of small scale structure using sextupole lensing
Weak gravitational lensing seeks to determine shear by measuring induced
quadrupole (elliptical) shapes in background galaxy images. Small impact
parameter (a few kpc) gravitational lensing by foreground core masses between 2
10^{9} and 2 10^{12} M_\odot will additionally induce a sextupole shape with
the quadrupole and sextupole minima aligned. This correlation in relative
orientation of the quadrupole and sextupole provides a sensitive method to
identify images which have been slightly curved by lensing events. A general
theoretical framework for sextupole lensing is developed which includes several
low order coefficients in a general lensing map. Tools to impute map
coefficients from the galaxy images are described and applied to the north
Hubble deep field. Instrumental PSFs, camera charge diffusion, and image
composition methods are modelled in the coefficient determination process.
Estimates of Poisson counting noise for each galaxy are used to cut galaxies
with signals too small to reliably establish curvature. Curved galaxies are
found to be spatially clumped, as would be expected if the curving were due to
small impact parameter lensing by localized ensembles of dark matter haloes.
Simulations provide an estimate of the total required lensing mass and the
acceptable mass range of the constituent haloes. The overdensities and
underdensities of visible galaxies and their locations in the Hubble foreground
is found to be consistent with our observations and their interpretation as
lensing events.Comment: 40 pages, 44 figure
Effective Equations of Motion for Quantum Systems
In many situations, one can approximate the behavior of a quantum system,
i.e. a wave function subject to a partial differential equation, by effective
classical equations which are ordinary differential equations. A general method
and geometrical picture is developed and shown to agree with effective action
results, commonly derived through path integration, for perturbations around a
harmonic oscillator ground state. The same methods are used to describe
dynamical coherent states, which in turn provide means to compute quantum
corrections to the symplectic structure of an effective system.Comment: 31 pages; v2: a new example, new reference
The von Neumann-Wigner type potentials and the wave functions' asymptotics for the discrete levels in continuum
One to one correspondence between the decay law of the von Neumann-Wigner
type potentials and the asymptotic behaviour of the wave functions representing
bound states in the continuum is established.Comment: latex, 7 page
The Spontaneous Emergence of Social Influence in Online Systems
Social influence drives both offline and online human behaviour. It pervades
cultural markets, and manifests itself in the adoption of scientific and
technical innovations as well as the spread of social practices. Prior
empirical work on the diffusion of innovations in spatial regions or social
networks has largely focused on the spread of one particular technology among a
subset of all potential adopters. It has also been difficult to determine
whether the observed collective behaviour is driven by natural influence
processes, or whether it follows external signals such as media or marketing
campaigns. Here, we choose an online context that allows us to study social
influence processes by tracking the popularity of a complete set of
applications installed by the user population of a social networking site, thus
capturing the behaviour of all individuals who can influence each other in this
context. By extending standard fluctuation scaling methods, we analyse the
collective behaviour induced by 100 million application installations, and show
that two distinct regimes of behaviour emerge in the system. Once applications
cross a particular threshold of popularity, social influence processes induce
highly correlated adoption behaviour among the users, which propels some of the
applications to extraordinary levels of popularity. Below this threshold, the
collective effect of social influence appears to vanish almost entirely in a
manner that has not been observed in the offline world. Our results demonstrate
that even when external signals are absent, social influence can spontaneously
assume an on-off nature in a digital environment. It remains to be seen whether
a similar outcome could be observed in the offline world if equivalent
experimental conditions could be replicated
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