1,207 research outputs found
Instabilities of Relativistic Stars
Recent developments on the rotational instabilities of relativistic stars are
reviewed. The article provides an account of the theory of stellar
instabilities with emphasis on the rotational ones. Special attention is being
paid to the study of these instabilities in the general relativistic regime.
Issues such as the existence relativistic r-modes, the existence of a
continuous spectrum and the CFS instability of the w-modes are discussed in the
second half of the article.Comment: 41 pages, 12 figures, Proceedings of the 25th John Hopkins Workshop,
Florenc
On the r-mode spectrum of relativistic stars in the low-frequency approximation
The axial modes for non-barotropic relativistic rotating neutron stars with
uniform angular velocity are studied, using the slow-rotation formalism
together with the low-frequency approximation, first investigated by Kojima.
The time independent form of the equations leads to a singular eigenvalue
problem, which admits a continuous spectrum. We show that for , it is
nevertheless also possible to find discrete mode solutions (the -modes).
However, under certain conditions related to the equation of state and the
compactness of the stellar model, the eigenfrequency lies inside the continuous
band and the associated velocity perturbation is divergent; hence these
solutions have to be discarded as being unphysical. We corroborate our results
by explicitly integrating the time dependent equations. For stellar models
admitting a physical -mode solution, it can indeed be excited by arbitrary
initial data. For models admitting only an unphysical mode solution, the
evolutions do not show any tendency to oscillate with the respective frequency.
For higher values of , it seems that in certain cases there are no mode
solutions at all.Comment: Major revision, corrected results concerning realistic equations of
state, now 17 pages, 11 figures, MNRAS typesettin
Evolution equations for the perturbations of slowly rotating relativistic stars
We present a new derivation of the equations governing the oscillations of
slowly rotating relativistic stars. Previous investigations have been mostly
carried out in the Regge-Wheeler gauge. However, in this gauge the process of
linearizing the Einstein field equations leads to perturbation equations which
as such cannot be used to perform numerical time evolutions. It is only through
the tedious process of combining and rearranging the perturbation variables in
a clever way that the system can be cast into a set of hyperbolic first order
equations, which is then well suited for the numerical integration. The
equations remain quite lengthy, and we therefore rederive the perturbation
equations in a different gauge, which has been first proposed by Battiston et
al. (1970). Using the ADM formalism, one is immediately lead to a first order
hyperbolic evolution system, which is remarkably simple and can be numerically
integrated without many further manipulations. Moreover, the symmetry between
the polar and the axial equations becomes directly apparent.Comment: 13 pages, no figures, MSRAS typesetting, cleaning of the
inadvertently disfigured equation
Computer vision
The field of computer vision is surveyed and assessed, key research issues are identified, and possibilities for a future vision system are discussed. The problems of descriptions of two and three dimensional worlds are discussed. The representation of such features as texture, edges, curves, and corners are detailed. Recognition methods are described in which cross correlation coefficients are maximized or numerical values for a set of features are measured. Object tracking is discussed in terms of the robust matching algorithms that must be devised. Stereo vision, camera control and calibration, and the hardware and systems architecture are discussed
Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell
Recent studies have raised doubts about the occurrence of r modes in
Newtonian stars with a large degree of differential rotation. To assess the
validity of this conjecture we have solved the eigenvalue problem for
Rossby-Haurwitz waves (the analogues of r waves on a thin-shell) in the
presence of differential rotation. The results obtained indicate that the
eigenvalue problem is never singular and that, at least for the case of a
thin-shell, the analogues of r modes can be found for arbitrarily large degrees
of differential rotation. This work clarifies the puzzling results obtained in
calculations of differentially rotating axi-symmetric Newtonian stars.Comment: 8pages, 3figures. Submitted to CQ
Adsorption/desorption and electrically controlled flipping of ammonia molecules on graphene
In this paper, we evaluate of the adsorption/ desorption of ammonia molecules
on a graphene surface by studying the Fermi level shift. Based on a physically
plausible model, the adsorption and desorption rates of ammonia molecules on
graphene have been extracted from the measured Fermi level shift as a function
of exposure time. An electric field-induced flipping behavior of ammonia
molecules on graphene is suggested, based on field effect transistor (FET)
measurements
General Relativistic Rossby-Haurwitz waves of a slowly and differentially rotating fluid shell
We show that, at first order in the angular velocity, the general
relativistic description of Rossby-Haurwitz waves (the analogues of r-waves on
a thin shell) can be obtained from the corresponding Newtonian one after a
coordinate transformation. As an application, we show that the results recently
obtained by Rezzolla and Yoshida (2001) in the analysis of Newtonian
Rossby-Haurwitz waves of a slowly and differentially rotating, fluid shell
apply also in General Relativity, at first order in the angular velocity.Comment: 4 pages. Comment to Class. Quantum Grav. 18(2001)L8
Dipole Interactions and Electrical Polarity in Nanosystems -- the Clausius-Mossotti and Related Models
Point polarizable molecules at fixed spatial positions have solvable
electrostatic properties in classical approximation, the most familiar being
the Clausius-Mossotti (CM) formula. This paper generalizes the model and
imagines various applications to nanosystems. The behavior is worked out for a
sequence of octahedral fragments of simple cubic crystals, and the crossover to
the bulk CM law is found. Some relations to fixed moment systems are discussed
and exploited. The one-dimensional dipole stack is introduced as an important
model system. The energy of interaction of parallel stacks is worked out, and
clarifies the diverse behavior found in different crystal structures. It also
suggests patterns of self-organization which polar molecules in solution might
adopt. A sum rule on the stack interaction is found and tested. Stability of
polarized states under thermal fluctuations is discussed, using the
one-dimensional domain wall as an example. Possible structures for polar hard
ellipsoids are considered. An idea is formulated for enhancing polarity of
nanosystems by intentionally adding metallic coatings.Comment: 18 pages (includes 6 embedded figures and 3 tables). New references,
and other small improvements. Scheduled for publication by J. Chem. Phys.,
Jan. 200
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