1,886 research outputs found
Rings and arcs around evolved stars. II. The Carbon Star AFGL 3068 and the Planetary Nebulae NGC 6543, NGC 7009 and NGC 7027
We present a detailed comparative study of the arcs and fragmented ring-like
features in the haloes of the planetary nebulae (PNe) NGC 6543, NGC 7009, and
NGC 7027 and the spiral pattern around the carbon star AFGL 3068 using
high-quality multi-epoch HST images. This comparison allows us to investigate
the connection and possible evolution between the regular patterns surrounding
AGB stars and the irregular concentric patterns around PNe. The radial proper
motion of these features, ~15 km/s, are found to be consistent with the AGB
wind and their linear sizes and inter-lapse times (500-1900 yr) also agree with
those found around AGB stars, suggesting a common origin. We find evidence
using radiative-hydrodynamic simulations that regular patterns produced at the
end of the AGB phase become highly distorted by their interactions with the
expanding PN and the anisotropic illumination and ionization patterns caused by
shadow instabilities. These processes will disrupt the regular (mostly spiral)
patterns around AGB stars, plausibly becoming the arcs and fragmented rings
observed in the haloes of PNe.Comment: 13 pages, 9 figures, accepted for publication in MNRA
Level sets of functions and symmetry sets of smooth surface sections
We prove that the level sets of a real C^s function of two variables near a
non-degenerate critical point are of class C^[s/2] and apply this to the study
of planar sections of surfaces close to the singular section by the tangent
plane at hyperbolic points or elliptic points, and in particular at umbilic
points.
We also analyse the cases coming from degenerate critical points,
corresponding to elliptic cusps of Gauss on a surface, where the
differentiability is now reduced to C^[s/4].
However in all our applications to symmetry sets of families of plane curves,
we assume the C^infty smoothness.Comment: 15 pages, Latex, 6 grouped figures. The final version will appear in
Mathematics of Surfaces. Lecture Notes in Computer Science (2005
Submillimeter polarisation and magnetic field properties in the envelopes of proto-planetary nebulae CRL 618 and OH 231.8+4.2
We have carried out continuum and line polarisation observations of two
Proto-planetary nebulae (PPNe), CRL 618 and OH 231.8+4.2, using the
Submillimeter Array (SMA) in its compact configuration. The frequency range of
observations, 330-345 GHz, includes the CO(J=3-2) line emission. CRL 618 and OH
231.8+4.2 show quadrupolar and bipolar optical lobes, respectively, surrounded
by a dusty envelope reminiscent of their AGB phase. We report a detection of
dust continuum polarised emission in both PPNe above 4 sigma but no molecular
line polarisation detection above a 3 sigma limit. OH 231.8+4.2 is slightly
more polarised on average than CRL 618 with a mean fractional polarisation of
4.3 and 0.3 per cent, respectively. This agrees with the previous finding that
silicate dust shows higher polarisation than carbonaceous dust. In both
objects, an anti-correlation between the fractional polarisation and the
intensity is observed. Neither PPNe show a well defined toroidal equatorial
field, rather the field is generally well aligned and organised along the polar
direction. This is clearly seen in CRL 618 while in the case of OH 231.8+4.2,
the geometry indicates an X-shaped structure coinciding overall with a
dipole/polar configuration. However in the later case, the presence of a
fragmented and weak toroidal field should not be discarded. Finally, in both
PPNe, we observed that the well organised magnetic field is parallel with the
major axis of the 12CO outflow. This alignment could indicate the presence of a
magnetic outflow launching mechanism. Based on our new high resolution data we
propose two scenarios to explain the evolution of the magnetic field in evolved
stars.Comment: 11 pages, 8 figures and 1 table. Accepted for publication in the
Monthly Notices of the Royal Astronomical Societ
A Buffer Stocks Model for Stabilizing Price of Staple Food with Considering the Expectation of Non Speculative Wholesaler
This paper is a study of price stabilization in the
staple food distribution system. All stakeholders experience
market risks due to some possibility causes of price volatility.
Many models of price stabilization had been developed by
employing several approaches such as floor-ceiling prices,
buffer funds, export or import taxes, and subsidies. In the
previous researches, the models were expanded to increase the
purchasing price for producer and decrease the selling price
for consumer. Therefore, the policy can influence the losses for
non-speculative wholesaler that is reflected by the descending
of selling quantity and ascending of the stocks. The objective of
this model is not only to keep the expectation of both producer
and consumer, but also to protect non-speculative wholesaler
from the undesirable result of the stabilization policy. A
nonlinear programming model was addressed to determine the
instruments of intervention program. Moreover, the result
shows that the wholesaler behavior affects the intervention
costs.
Index Terms Buffer stocks, Price stabilization, Nonlinear
programming, Wholesaler behavior
Epidemics with multistrain interactions: The interplay between cross immunity and antibody-dependent enhancement
This paper examines the interplay of the effect of cross immunity and antibody-dependent enhancement (ADE) in multistrain diseases. Motivated by dengue fever, we study a model for the spreading of epidemics in a population with multistrain interactions mediated by both partial temporary cross immunity and ADE. Although ADE models have previously been observed to cause chaotic outbreaks, we show analytically that weak cross immunity has a stabilizing effect on the system. That is, the onset of disease fluctuations requires a larger value of ADE with small cross immunity than without. However, strong cross immunity is shown numerically to cause oscillations and chaotic outbreaks even for low values of ADE. (C) 2009 American Institute of Physics. [doi: 10.1063/1.3270261
Electronic properties of mono-substituted tetraferrocenyl porphyrins in solution and on a gold surface: Assessment of the influencing factors for photoelectrochemical applications
Two unsymmetric meso-tetraferrocenyl-containing porphyrins of general formula Fc3(FcCOR)Por (Fc=ferrocenyl, R=CH3 or (CH2)5Br, Por=porphyrin) were prepared and characterized by a variety of spectroscopic methods, whereas their redox properties were investigated using cyclic voltammetry (CV) and differential pulse voltammetry (DPV) approaches. The mixed-valence [Fc3(FcCOR)Por]n+ (n=1,3) were investigated using spectroelectrochemical as well as chemical oxidation methods and corroborated with density functional theory (DFT) calculations. Inter-valence charge-transfer (IVCT) transitions in [Fc3(FcCOR)Por]+ were analyzed, and the resulting data matched closely previously reported complexes and were assigned as Robin–Day class II mixed-valence compounds. Self-assembled monolayers (SAMs) of a thioacetyl derivative (Fc3(FcCO(CH2)5SCOCH3)Por) were also prepared and characterized. Photoelectrochemical properties of SAMs in different electrolyte systems were investigated by electrochemical techniques and photocurrent generation experiments, showing that the choice of electrolyte is critical for efficiency of redox-active SAMs
Detailed studies of IPHAS sources -- III. The highly extinguished bipolar planetary nebula IPHASX J191104.8060845
We present the first detailed study of the bipolar planetary nebula (PN)
IPHASX J191104.8060845 (PN G040.601.5) discovered as part of the Isaac
Newton Telescope Photometric H Survey of the Northern Galactic plane
(IPHAS). We present Nordic Optical Telescope (NOT) narrow-band images to unveil
its true morphology. This PN consists of a main cavity with two newly uncovered
extended low-surface brightness lobes located towards the NW and SE directions.
Using near-IR WISE images we unveiled the presence of a barrel like structure,
which surrounds the main cavity, which would explain the dark lane towards the
equatorial regions. We also use Gran Telescopio de Canarias (GTC) spectra to
study the physical properties of this PN. We emphasise the potential of old PNe
detected in IPHAS to study the final stages of the evolution of the
circumstellar medium around solar-like stars.Comment: 9 pages, 8 Figures, 3 Tables; Accepted to MNRA
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