1,395 research outputs found
Instability strips of SPB and beta Cephei stars: the effect of the updated OP opacities and of the metal mixture
The discovery of Cephei stars in low metallicity environments, as
well as the difficulty in theoretically explaining the excitation of the
pulsation modes observed in some Cephei and hybrid SPB- Cephei
pulsators, suggest that the ``iron opacity bump'' provided by stellar models
could be underestimated. We analyze the effect of uncertainties in the opacity
computations and in the solar metal mixture, on the excitation of pulsation
modes in B-type stars. We carry out a pulsational stability analysis for four
grids of main-sequence models with masses between 2.5 and 12
computed with OPAL and OP opacity tables and two different metal mixtures.
We find that in a typical Cephei model the OP opacity is 25% larger
than OPAL in the region where the driving of pulsation modes occurs.
Furthermore, the difference in the Fe mass fraction between the two metal
mixtures considered is of the order of 20%. The implication on the excitation
of pulsation modes is non-negligible: the blue border of the SPB instability
strip is displaced at higher effective temperatures, leading to a larger number
of models being hybrid SPB- Cephei pulsators. Moreover, higher overtone
p-modes are excited in Cephei models and unstable modes are found in a
larger number of models for lower metallicities, in particular Cephei
pulsations are also found in models with Z=0.01.Comment: Accepted for publication in MNRAS Letter
A functional central limit theorem for a Markov-modulated infinite-server queue
The production of molecules in a chemical reaction network is modelled as a
Poisson process with a Markov-modulated arrival rate and an exponential decay
rate. We analyze the distributional properties of , the number of molecules,
under specific time-scaling; the background process is sped up by ,
the arrival rates are scaled by , for large. A functional central limit
theorem is derived for , which after centering and scaling, converges to an
Ornstein-Uhlenbeck process. A dichotomy depending on is observed. For
the parameters of the limiting process contain the deviation
matrix associated with the background process.Comment: 4 figure
Coriolis force corrections to g-mode spectrum in 1D MHD model
The corrections to g-mode frequencies caused by the presence of a central
magnetic field and rotation of the Sun are calculated. The calculations are
carried out in the simple one dimensional magnetohydrodynamical model using the
approximations which allow one to find the purely analytical spectra of
magneto-gravity waves beyond the scope of the JWKB approximation and avoid in a
small background magnetic field the appearance of the cusp resonance which
locks a wave within the radiative zone. These analytic results are compared
with the satellite observations of the g-mode frequency shifts which are of the
order one per cent as given in the GOLF experiment at the SoHO board. The main
contribution turns out to be the magnetic frequency shift in the strong
magnetic field which obeys the used approximations. In particular, the fixed
magnetic field strength 700 KG results in the mentioned value of the frequency
shift for the g-mode of the radial order n=-10. The rotational shift due to the
Coriolis force appears to be small and does not exceed a fracton of per cent,
\alpha_\Omega < 0.003.Comment: RevTeX4, 9 pages, 4 eps figures; accepted for publication in
Astronomy Reports (Astronomicheskii Zhurnal
The Generalized Ricci Flow for 3D Manifolds with One Killing Vector
We consider 3D flow equations inspired by the renormalization group (RG)
equations of string theory with a three dimensional target space. By modifying
the flow equations to include a U(1) gauge field, and adding carefully chosen
De Turck terms, we are able to extend recent 2D results of Bakas to the case of
a 3D Riemannian metric with one Killing vector. In particular, we show that the
RG flow with De Turck terms can be reduced to two equations: the continual Toda
flow solved by Bakas, plus its linearizaton. We find exact solutions which flow
to homogeneous but not always isotropic geometries
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