21,934 research outputs found
Solutions for real dispersionless Veselov-Novikov hierarchy
We investigate the dispersionless Veselov-Novikov (dVN) equation based on the
framework of dispersionless two-component BKP hierarchy. Symmetry constraints
for real dVN system are considered. It is shown that under symmetry reductions,
the conserved densities are therefore related to the associated Faber
polynomials and can be solved recursively. Moreover, the method of hodograph
transformation as well as the expressions of Faber polynomials are used to find
exact real solutions of the dVN hierarchy.Comment: 14 page
Instability of two-dimensional heterotic stringy black holes
We solve the eigenvalue problem of general relativity for the case of charged
black holes in two-dimensional heterotic string theory, derived by McGuigan et
al. For the case of , we find a physically acceptable
time-dependent growing mode; thus the black hole is unstable. The extremal case
is stable.Comment: 11 pages, LaTe
Quantum study of information delay in electromagetically induced transparency
Using electromagnetically induced transparency (EIT), it is possible to delay
and store light in atomic ensembles. Theoretical modelling and recent
experiments have suggested that the EIT storage mechanism can be used as a
memory for quantum information. We present experiments that quantify the noise
performance of an EIT system for conjugate amplitude and phase quadratures. It
is shown that our EIT system adds excess noise to the delayed light that has
not hitherto been predicted by published theoretical modelling. In analogy with
other continuous-variable quantum information systems, the performance of our
EIT system is characterised in terms of conditional variance and signal
transfer.Comment: 4 pages, 4 figure
Erratum : Squeezing and entanglement delay using slow light
An inconsistency was found in the equations used to calculate the variance of
the quadrature fluctuations of a field propagating through a medium
demonstrating electromagnetically induced transparency (EIT). The decoherence
term used in our original paper introduces inconsistency under weak probe
approximation. In this erratum we give the Bloch equations with the correct
dephasing terms. The conclusions of the original paper remain the same. Both
entanglement and squeezing can be delayed and preserved using EIT without
adding noise when the decoherence rate is small.Comment: 1 page, no figur
Scaling of Star Polymers with one to 80 Arms
We present large statistics simulations of 3-dimensional star polymers with
up to arms, and with up to 4000 monomers per arm for small values of
. They were done for the Domb-Joyce model on the simple cubic lattice. This
is a model with soft core exclusion which allows multiple occupancy of sites
but punishes each same-site pair of monomers with a Boltzmann factor . We
use this to allow all arms to be attached at the central site, and we use the
`magic' value to minimize corrections to scaling. The simulations are
made with a very efficient chain growth algorithm with resampling, PERM,
modified to allow simultaneous growth of all arms. This allows us to measure
not only the swelling (as observed from the center-to-end distances), but also
the partition sum. The latter gives very precise estimates of the critical
exponents . For completeness we made also extensive simulations of
linear (unbranched) polymers which give the best estimates for the exponent
.Comment: 7 pages, 7 figure
The Gould-Hopper Polynomials in the Novikov-Veselov equation
We use the Gould-Hopper (GH) polynomials to investigate the Novikov-Veselov
(NV) equation. The root dynamics of the -flow in the NV equation is
studied using the GH polynomials and then the Lax pair is found. In particulr,
when , one can get the Gold-fish model. The smooth rational solutions
of the NV equation are also constructed via the extended Moutard transformation
and the GH polynomials. The asymptotic behavior is discussed and then the
smooth rational solution of the Liouville equation is obtained.Comment: 22 pages, no figur
The X-ray luminosity function of Active Galactic Nuclei in the redshift interval z=3-5
We combine deep X-ray survey data from the Chandra observatory and the
wide-area/shallow XMM-XXL field to estimate the AGN X-ray luminosity function
in the redshift range z=3-5. The sample consists of nearly 340 sources with
either photometric (212) or spectroscopic (128) redshift in the above range.
The combination of deep and shallow survey fields provides a luminosity
baseline of three orders of magnitude, Lx(2-10keV)~1e43-1e46erg/s at z>3. We
follow a Bayesian approach to determine the binned AGN space density and
explore their evolution in a model-independent way. Our methodology accounts
for Poisson errors in the determination of X-ray fluxes and uncertainties in
photometric redshift estimates. We demonstrate that the latter is essential for
unbiased measurement of space densities. We find that the AGN X-ray luminosity
function evolves strongly between the redshift intervals z=3-4 and z=4-5. There
is also suggestive evidence that the amplitude of this evolution is luminosity
dependent. The space density of AGN with Lx<1e45erg/s drops by a factor of 5
between the redshift intervals above, while the evolution of brighter AGN
appears to be milder. Comparison of our X-ray luminosity function with that of
UV/optical selected QSOs at similar redshifts shows broad agreement at bright
luminosities, Lx>1e45erg/s. The faint-end slope of UV/optical luminosity
functions however, is steeper than for X-ray selected AGN. This implies that
the type-I AGN fraction increases with decreasing luminosity at z>3, opposite
to trends established at lower redshift. We also assess the significance of AGN
in keeping the hydrogen ionised at high redshift. Our X-ray luminosity function
yields ionising photon rate densities that are insufficient to keep the
Universe ionised at redshift z>4. A source of uncertainty in this calculation
is the escape fraction of UV photons for X-ray selected AGN.Comment: MNRAS accepte
Quantitative Concentrations of Sodium and Potassium Released from Brown Coal and Pine Wood in a Laminar Premixed Flame Using Libs
A quantitative point measurement of total sodium and potassium released during combustion of Australian Loy Yang brown coal particles (23 ± 3 mg) and pine wood pellets (63 ± 3 mg) has been performed using laser-induced breakdown spectroscopy (LIBS) in a laminar premixed methane flame at the equivalence ratio (Φ) of 1.287. Calibration was performed using droplets of sodium sulfite (Na2SO3) and potassium sulphate (K2SO4) entrained into the flame. A correction to the calibration curve was applied to compensate for the significant absorption effect caused by atomic alkalis in outer seeded flame, which significantly improved the calibration reliability especially at high concentrations. Hence quantitative release of sodium and potassium during the three phases of combustion, namely devolatilization, char and ash cooking, were obtained. The concentration of total sodium in the plume released from combustion of pine wood pellets during the devolatilization reached up to 15 ppm indicating significant sodium was released in various forms. The strongest concentrations of total sodium and potassium released during char phase of both coal and wood reaching up to 21.3 and 2.4 ppm, 15.5 and 26.3 ppm, respectively. Limit of Detection (LOD) of sodium and potassium with LIBS in the present setup were estimated to be 0.029 and 0.072 ppm, respectively.Li-Jen Hsu, Zeyad Alwahabi, Graham Nathan, Peter Ashman, Keith Kinghttp://www.chemeca2010.com/abstract/226.as
Present-day Risk of Occasional Extreme Hydrological and Hydrogeological Events
Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchive
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