4,982 research outputs found
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
We provide a theory to establish the existence of nonzero solutions of
perturbed Hammerstein integral equations with deviated arguments, being our
main ingredient the theory of fixed point index. Our approach is fairly general
and covers a variety of cases. We apply our results to a periodic boundary
value problem with reflections and to a thermostat problem. In the case of
reflections we also discuss the optimality of some constants that occur in our
theory. Some examples are presented to illustrate the theory.Comment: 3 figures, 23 page
Cosmogenic neutrino fluxes under the effect of active-sterile secret interactions
Ultra High Energy cosmogenic neutrinos may represent a unique opportunity to
unveil possible new physics interactions once restricted to the neutrino sector
only. In the present paper we study the observable effects of a secret
active-sterile interactions, mediated by a pseudoscalar, on the expected flux
of cosmogenic neutrinos. The results show that for masses of sterile neutrinos
and pseudoscalars of hundreds MeV, necessary to evade cosmological,
astrophysical and elementary particle constraints, the presence of such new
interactions can significantly change the energy spectrum of cosmogenic
neutrinos at Earth in the energy range from PeV to ZeV. Interestingly, the
distortion of the spectrum results to be detectable at GRAND apparatus if the
scalar mediator mass is around 250 MeV and the UHECRs are dominated by the
proton component. Larger mediator masses or a chemical composition of UHECRs
dominated by heavier nuclei would require much larger cosmic rays apparatus
which might be available in future.Comment: 10 pages, 3 figure
Attitudes Toward the Death Penalty in Kentucky: A Comparison of Survey Results-1989, 1997, 1999
This bulletin examines changes in the attitudes of Kentucky residents toward the death penalty. Over the period 1989 to 1999, the level of opposition to the death in Kentucky has risen. In 1999, 28.3 percents of the respondents were either strongly (17.3 %) or somewhat (11%) against the death penalty. Also, the percentage of respondents who were unsure about the use of capital punishment declined from 16.3 to 12.5 percent. By 1999, support for the death penalty had declined by 10 percents points (59.2 %)
Relaxation due to random collisions with a many-qudit environment
We analyze the dynamics of a system qudit of dimension mu sequentially
interacting with the nu-dimensional qudits of a chain playing the ore of an
environment. Each pairwise collision has been modeled as a random unitary
transformation. The relaxation to equilibrium of the purity of the system
qudit, averaged over random collisions, is analytically computed by means of a
Markov chain approach. In particular, we show that the steady state is the one
corresponding to the steady state for random collisions with a single
environment qudit of effective dimension nu_e=nu*mu. Finally, we numerically
investigate aspects of the entanglement dynamics for qubits (mu=nu=2) and show
that random unitary collisions can create multipartite entanglement between the
system qudit and the qudits of the chain.Comment: 7 pages, 6 figure
Microwave intermodulation distortion of MgB2 thin films
The two tone intermodulation arising in MgB2 thin films deposited in-situ by
planar magnetron sputtering on sapphire substrates is studied. Samples are
characterised using an open-ended dielectric puck resonator operating at 8.8
GHz. The experimental results show that the third order products increase with
the two-tone input power with a slope ranging between 1.5 and 2.3. The
behaviour can be understood introducing a mechanism of vortex penetration in
grain boundaries as the most plausible source of non linearities in these
films. This assumption is confirmed by the analysis of the field dependence of
the surface resistance, that show a linear behaviour at all temperatures under
test.Comment: 13 pages, 3 figures; to be published in Appl. Phys. Let
- …