5,180 research outputs found
Levi harmonic maps of contact Riemannian manifolds
We study Levi harmonic maps i.e. solutions to \tau_\mathcal{H} (f) \equiv
\mathr{trace}_{g} ( \Pi_\mathcal{H}\beta_f ) = 0,
where is an (almost) contact (semi) Riemannian manifold, is a (semi) Riemannian manifold, is the second fundamental form of , and is the restriction of to the Levi distribution .
Many examples are exhibited e.g. the Hopf vector field on the unit sphere , immersions of Brieskorn spheres, and the geodesic flow of the tangent sphere bundle over a Riemannnian manifold of constant curvature are Levi harmonic maps. A CR map of contact (semi) Riemannian manifolds (with spacelike Reeb fields) is pseudoharmonic if and only if is Levi harmonic. We give a variational interpretation of Levi harmonicity. Any Levi harmonic morphism is shown to be a Levi harmonic map
Visibility analysis of boundary layer transition
We study the transition to turbulence in a flat plate boundary layer by means of visibility analysis of velocity time-series extracted across the flow domain. By taking into account the mutual visibility of sampled values, visibility graphs are constructed from each time series. The latter are, thus, transformed into a geometrical object, whose main features can be explored using measures typical of network science that provide a reduced order representation of the underlying flow properties. Using these metrics, we observe the evolution of the flow from laminarity to turbulence and the effects exerted by the free-stream turbulence. Different from other methods requiring an extensive amount of spatiotemporal data (e.g., full velocity field) or a set of parameters and thresholds arbitrarily chosen by the user, the present network-based approach is able to identify the onset markers for transition by means of the streamwise velocity time-series alone. Published under an exclusive license by AIP Publishing
Evaluating collapse fragility curves for existing buildings retrofitted using seismic isolation
Few studies have investigated so far the collapse capacity of buildings with base-isolation. In such studies, preliminary considerations have been drawn based on a number of assumptions regarding: (i) the methodology used for assessing the collapse capacity, (ii) the collapse conditions and failure modes assumed for both superstructure and isolation system, and (iii) the numerical modeling assumptions. The main results pointed out that the collapse conditions of base-isolated buildings may occur for intensity levels slightly higher than those associated with the design earthquake. In this paper, further developments are made through the use of enhanced models for the description of the behavior of a rubber-based isolation system and the assumption of more rational collapse conditions. Collapse fragility functions, in terms of mean and dispersion values, are proposed for two archetypes representative of existing buildings retrofitted using the seismic isolation technique. The collapse margin ratio (median collapse capacity Sa, C, namely the spectral acceleration associated to a probability of exceedance equal to 50%, divided by the design spectral acceleration at the collapse prevention limit state) has been evaluated for each examined case-study. Values ranging from 1.10 to 1.45 were found
Radial evolution of the solar wind in pure high-speed streams: HELIOS revised observations
Spacecraft observations have shown that the proton temperature in the solar wind falls off with radial distance more slowly than expected for an adiabatic prediction. Usually, previous studies have been focused on the evolution of the solar-wind plasma by using the bulk speed as an order parameter to discriminate different regimes. In contrast, here, we study the radial evolution of pure and homogeneous fast streams (i.e. well-defined streams of coronal-hole plasma that maintain their identity during several solar rotations) by means of re-processed particle data, from the HELIOS satellites between 0.3 and 1 au. We have identified 16 intervals of unperturbed high-speed coronal-hole plasma, from three different sources and measured at different radial distances. The observations show that, for all three streams, (i) the proton density decreases as expected for a radially expanding plasma, unlike previous analysis that found a slower decrease; (ii) the magnetic field deviates from the Parker prediction, with the radial component decreasing more slowly and the tangential more quickly than expected; (iii) the double-adiabatic invariants are violated and an increase of entropy is observed; (iv) the collisional frequency is not constant, but decreases as the plasma travels away from the Sun. This work provides an insight into the heating problem in pure fast solar wind, fitting in the context of the next solar missions, and, especially for Parker Solar Probe, it enables us to predict the high-speed solar-wind environment much closer to the Sun
Performance analysis of peak tracking techniques for fiber Bragg grating interrogation systems
In this paper, we propose a spectral correlation-based technique for tracking the wavelength shift of a fiber Bragg grating. We compared this approach, by means of a Monte Carlo numerical simulation, to the typical peak tracking techniques applied in classic interrogation systems. As result, we obtained a considerable gain in terms of noise tolerance (about 20 dB), which can be further incremented by selecting large-bandwidth gratings.
This permits to increase the power budget of a fiber Bragg grating interrogator without changing the optical layout, overcoming classical limitations of commercial and custom systems. Penalties due to the non-idealities have been evaluated through the same Monte Carlo approach. Finally, we discuss a practical application of the peak tracking techniques to a fiber Bragg grating-based weight sensor, in which we applied the spectral correlation to track both the Bragg wavelength position, spectral deformations due to high strain, and spectral non-linearity
Response to Comment on `Undamped electrostatic plasma waves' [Phys. Plasmas 19, 092103 (2012)]
Numerical and experimental evidence is given for the occurrence of the
plateau states and concomitant corner modes proposed in \cite{valentini12}. It
is argued that these states provide a better description of reality for small
amplitude off-dispersion disturbances than the conventional
Bernstein-Greene-Kruskal or cnoidal states such as those proposed in
\cite{comment
Fluorescence and Hybrid Detection Aperture of the Pierre Auger Observatory
The aperture of the Fluorescence Detector (FD) of the Pierre Auger
Observatory is evaluated from simulated events using different detector
configurations: mono, stereo, 3-FD and 4-FD. The trigger efficiency has been
modeled using shower profiles with ground impacts in the field of view of a
single telescope and studying the trigger response (at the different levels) by
that telescope and by its neighbours. In addition, analysis cuts imposed by
event reconstruction have been applied. The hybrid aperture is then derived for
the Auger final extension. Taking into account the actual Surface Detector (SD)
array configuration and its trigger response, the aperture is also calculated
for a typical configuration of the present phase.Comment: contribution to the 29th International Cosmic Ray Conference, Pune,
India, 3-10 August 200
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