981 research outputs found
Antimony doped tin oxide thin Films: Co gas sensor
in dioxide (SnO2) serves as an important base material in a variety of resistive type gas sensors. The widespread applicability of this semicoducting oxide is related both to its range of conductance variability and to the fact that it responds to both oxidising and reducing gases. The antimony doped tin-oxide films were prepared by spray pyrolysis method. The as-deposited films are blackish in colour. Addition of antimony impurity showed little increase in the thickness. The X-ray diffraction pattern shows characteristic tin oxide peaks with tetragonal structure. As the doping concentration of antimony was increased, new peak corresponding to Sb was observed. The intensity of this peak found to be increased when the Sb concentration was increased from 0.01 % to the 1 % which indicates the antimony was incorporated into the tin oxide. For gas sensing studies ohmic contacts were preferred to ensure the changes in resistance of sensor is due to only adsorption of gas molecule. The graph of I-V shows a straight line in nature which indicates the ohmic contact. The sensitivity of the sensor for CO gas was tested. The sensitivity of antimony doped tin oxide found to be increased with increasing Sb concentration. The maximum sensitivity was observed for Sb = 1 % at a working temperature of 250 °C.
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Why do naked singularities form in gravitational collapse?
We investigate what are the key physical features that cause the development
of a naked singularity, rather than a black hole, as the end-state of spherical
gravitational collapse. We show that sufficiently strong shearing effects near
the singularity delay the formation of the apparent horizon. This exposes the
singularity to an external observer, in contrast to a black hole, which is
hidden behind an event horizon due to the early formation of an apparent
horizon.Comment: revised for clarity, new figure included; version accepted by Phys.
Rev. D (RC
Log-convexity and log-concavity of hypergeometric-like functions
We find sufficient conditions for log-convexity and log-concavity for the
functions of the forms ,
and . The most
useful examples of such functions are generalized hypergeometric functions. In
particular, we generalize the Tur\'{a}n inequality for the confluent
hypergeometric function recently proved by Barnard, Gordy and Richards and
log-convexity results for the same function recently proved by Baricz. Besides,
we establish a reverse inequality which complements naturally the inequality of
Barnard, Gordy and Richards. Similar results are established for the Gauss and
the generalized hypergeometric functions. A conjecture about monotonicity of a
quotient of products of confluent hypergeometric functions is made.Comment: 13 pages, no figure
Solar aluminium tubular air heater
Paper presented to the 3rd Southern African Solar Energy Conference, South Africa, 11-13 May, 2015.Efficient, cost effective and light weight solar collectors to meet the low temperature needs, at or below 100oC will be the better option for utilisation of solar energy in developing countries like India. Test results of a patented low cost light weight modular solar collector developed and tested at Heat Pump Laboratory at IIT Bombay, HPL_IITB, (1907 N 7251 E) are presented. A 5 m2 aperture collector was installed on HPL_IITB terrace with an optimum tilt of 47o for the month of December. Heat delivered by the collector in terms of ambient air heated to 70.3oC, at average mass flow rate of 53.9 g/s, over 9 h test period was 21.5 kWh with an efficiency of 70.2%. Power consumed by air circulating fan was less than 1% of the heat delivered by the collector. Weight of this novel collector is only 7.6 kg/m2. Collector costs approximately INR 5,000/m2 (USD 82/m2) which works out to be about INR 1,200/kWh.d-1 (USD 20/kWh.d-1). Payback calculated, without any subsidy, when used for industrial heating applications is approximately 252 days.dc201
Higher dimensional dust collapse with a cosmological constant
The general solution of the Einstein equation for higher dimensional (HD)
spherically symmetric collapse of inhomogeneous dust in presence of a
cosmological term, i.e., exact interior solutions of the Einstein field
equations is presented for the HD Tolman-Bondi metrics imbedded in a de Sitter
background. The solution is then matched to exterior HD Scwarschild-de Sitter.
A brief discussion on the causal structure singularities and horizons is
provided. It turns out that the collapse proceed in the same way as in the
Minkowski background, i.e., the strong curvature naked singularities form and
that the higher dimensions seem to favor black holes rather than naked
singularities.Comment: 7 Pages, no figure
Influence of a classical homogeneous gravitational field on dissipative dynamics of the Jaynes-Cummings model with phase damping
In this paper, we study the dissipative dynamics of the Jaynes-Cummings model
with phase damping in the presence of a classical homogeneous gravitational
field. The model consists of a moving two-level atom simultaneously exposed to
the gravitational field and a single-mode traveling radiation field in the
presence of the phase damping. We present a quantum treatment of the internal
and external dynamics of the atom based on an alternative su(2) dynamical
algebraic structure. By making use of the super-operator technique, we obtain
the solution of the master equation for the density operator of the quantum
system, under the Markovian approximation. Assuming that initially the
radiation field is prepared in a Glauber coherent state and the two-level atom
is in the excited state, we investigate the influence of gravity on the
temporal evolution of collapses and revivals of the atomic population
inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting
statistics and quadrature squeezing of the radiation field in the presence of
phase damping.Comment: 25 pages, 15 figure
The repulsive nature of naked singularities from the point of view of Quantum Mechanics
We use the Dirac equation coupled to a background metric to examine what
happens to quantum mechanical observables like the probability density and the
radial current in the vicinity of a naked singularity of the
Reissner-Nordstr\"{o}m type. We find that the wave function of the Dirac
particle is regular in the point of the singularity. We show that the
probability density is exactly zero at the singularity reflecting
quantum-mechanically the repulsive nature of the naked singularity.
Furthermore, the surface integral of the radial current over a sphere in the
vicinity of the naked singularity turns out to be also zero.Comment: 11 page
Energy Release During Slow Long Duration Flares Observed by RHESSI
Slow Long Duration Events (SLDEs) are flares characterized by long duration
of rising phase. In many such cases impulsive phase is weak with lack of
typical short-lasting pulses. Instead of that smooth, long-lasting Hard X-ray
(HXR) emission is observed. We analysed hard X-ray emission and morphology of
six selected SLDEs. In our analysis we utilized data from RHESSI and GOES
satellites. Physical parameters of HXR sources were obtained from imaging
spectroscopy and were used for the energy balance analysis. Characteristic time
of heating rate decrease, after reaching its maximum value, is very long, which
explains long rising phase of these flares.Comment: Accepted for publication in Solar Physic
Canonical theory of spherically symmetric spacetimes with cross-streaming null dusts
The Hamiltonian dynamics of two-component spherically symmetric null dust is
studied with regard to the quantum theory of gravitational collapse. The
components--the ingoing and outgoing dusts--are assumed to interact only
through gravitation. Different kinds of singularities, naked or "clothed", that
can form during collapse processes are described. The general canonical
formulation of the one-component null-dust dynamics by Bicak and Kuchar is
restricted to the spherically symmetric case and used to construct an action
for the two components. The transformation from a metric variable to the
quasilocal mass is shown to simplify the mathematics. The action is reduced by
a choice of gauge and the corresponding true Hamiltonian is written down.
Asymptotic coordinates and energy densities of dust shells are shown to form a
complete set of Dirac observables. The action of the asymptotic time
translation on the observables is defined but it has been calculated explicitly
only in the case of one-component dust (Vaidya metric).Comment: 15 pages, 3 figures, submitted to Phys. Rev.
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