18,266 research outputs found
First-order quasilinear canonical representation of the characteristic formulation of the Einstein equations
We prescribe a choice of 18 variables in all that casts the equations of the
fully nonlinear characteristic formulation of general relativity in
first--order quasi-linear canonical form. At the analytical level, a
formulation of this type allows us to make concrete statements about existence
of solutions. In addition, it offers concrete advantages for numerical
applications as it now becomes possible to incorporate advanced numerical
techniques for first order systems, which had thus far not been applicable to
the characteristic problem of the Einstein equations, as well as in providing a
framework for a unified treatment of the vacuum and matter problems. This is of
relevance to the accurate simulation of gravitational waves emitted in
astrophysical scenarios such as stellar core collapse.Comment: revtex4, 7 pages, text and references added, typos corrected, to
appear in Phys. Rev.
Gravitational Waves from a Fissioning White Hole
We present a fully nonlinear calculation of the waveform of the gravitational
radiation emitted in the fission of a vacuum white hole. At early times, the
waveforms agree with close-approximation perturbative calculations but they
reveal dramatic time and angular dependence in the nonlinear regime. The
results pave the way for a subsequent computation of the radiation emitted
after a binary black hole merger.Comment: 11 pages, 6 figures, RevTeX
Pion scattering poles and chiral symmetry restoration
Using unitarized Chiral Perturbation Theory methods, we perform a detailed
analysis of the scattering poles and behaviour
when medium effects such as temperature or density drive the system towards
Chiral Symmetry Restoration. In the analysis of real poles below threshold, we
show that it is crucial to extend properly the unitarized amplitudes so that
they match the perturbative Adler zeros. Our results do not show threshold
enhancement effects at finite temperature in the channel, which
remains as a pole of broad nature. We also implement T=0 finite density effects
related to chiral symmetry restoration, by varying the pole position with the
pion decay constant. Although this approach takes into account only a limited
class of contributions, we reproduce the expected finite density restoration
behaviour, which drives the poles towards the real axis, producing threshold
enhancement and bound states. We compare our results with several
model approaches and discuss the experimental consequences, both in
Relativistic Heavy Ion Collisions and in and
reactions in nuclei.Comment: 17 pages, 9 figures, final version to appear in Phys.Rev.D, added
comments and reference
Dynamical Organization of Cooperation in Complex Topologies
In this Letter, we study how cooperation is organized in complex topologies
by analyzing the evolutionary (replicator) dynamics of the Prisoner's Dilemma,
a two-players game with two available strategies, defection and cooperation,
whose payoff matrix favors defection. We show that, asymptotically, the
population is partitioned into three subsets: individuals that always cooperate
({\em pure cooperators}), always defect ({\em pure defectors}) and those that
intermittently change their strategy. In fact the size of the latter set is the
biggest for a wide range of the "stimulus to defect" parameter. While in
homogeneous random graphs pure cooperators are grouped into several clusters,
in heterogeneous scale-free (SF) networks they always form a single cluster
containing the most connected individuals (hubs). Our results give further
insights into why cooperation in SF networks is favored.Comment: 4 pages and 4 figures. Final version as published in Physical Review
Letter
Angular dependence of magnetic properties in Ni nanowire arrays
The angular dependence of the remanence and coercivity of Ni nanowire arrays
produced inside the pores of anodic alumina membranes has been studied. By
comparing our analytical calculations with our measurements, we conclude that
the magnetization reversal in this array is driven by means of the nucleation
and propagation of a transverse wall. A simple model based on an adapted
Stoner-Wohlfarth model is used to explain the angular dependence of the
coercivity
Statistical Mechanics of finite arrays of coupled bistable elements
We discuss the equilibrium of a single collective variable characterizing a
finite set of coupled, noisy, bistable systems as the noise strength, the size
and the coupling parameter are varied. We identify distinct regions in
parameter space. The results obtained in prior works in the asymptotic infinite
size limit are significantly different from the finite size results. A
procedure to construct approximate 1-dimensional Langevin equation is adopted.
This equation provides a useful tool to understand the collective behavior even
in the presence of an external driving force
Exceptional orthogonal polynomials and the Darboux transformation
We adapt the notion of the Darboux transformation to the context of
polynomial Sturm-Liouville problems. As an application, we characterize the
recently described Laguerre polynomials in terms of an isospectral
Darboux transformation. We also show that the shape-invariance of these new
polynomial families is a direct consequence of the permutability property of
the Darboux-Crum transformation.Comment: corrected abstract, added references, minor correction
Is Karenia a synonym of Asterodinium-Brachidinium (Gymnodiniales, Dinophyceae)?
From material collected in open waters of the NW and Equatorial Pacific Ocean the detailed morphology of brachidiniaceans based on two specimens of Asterodinium gracile is reported for the first time. SEM observations showed that the straight apical groove, the
morphological characters and orientation of the cell body were similar to those described for species of Karenia. Brachidinium and Asterodinium showed high morphological variability in the length of the extensions and intermediate specimens with Karenia. Karenia-like cells that strongly resemble Brachidinium and Asterodinium but lacking the extensions co-occurred with the typical specimens. The life cycle and morphology of Karenia papilionacea should be investigated under natural conditions because of the strong similarity
with the brachidiniaceans
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