10,228 research outputs found
The distribution of localization centers in some discrete random systems
As a supplement of our previous work, we consider the localized region of the
random Schroedinger operators on and study the point process
composed of their eigenvalues and corresponding localization centers. For the
Anderson model, we show that, this point process in the natural scaling limit
converges in distribution to the Poisson process on the product space of energy
and space. In other models with suitable Wegner-type bounds, we can at least
show that any limiting point processes are infinitely divisible
Comparison of Post-Newtonian and Numerical Evolutions of Black-Hole Binaries
In this paper, we compare the waveforms from the post-Newtonian (PN) approach
with the numerical simulations of generic black-hole binaries which have mass
ratio , arbitrarily oriented spins with magnitudes
and , and orbit 9 times from an initial orbital separation of
prior to merger. We observe a reasonably good agreement between
the PN and numerical waveforms, with an overlap of over 98% for the first six
cycles of the mode and over 90% for the and
modes.Comment: 4 pages, 2 figures, prepared for the proceedings of the 18th workshop
on general relativity and gravitation, Hiroshima, Japan, Nov.17 - Nov.21,
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Intermediate Mass Ratio Black Hole Binaries: Numerical Relativity meets Perturbation Theory
We study black-hole binaries in the intermediate-mass-ratio regime 0.01 < q <
0.1 with a new technique that makes use of nonlinear numerical trajectories and
efficient perturbative evolutions to compute waveforms at large radii for the
leading and nonleading modes. As a proof-of-concept, we compute waveforms for
q=1/10. We discuss applications of these techniques for LIGO/VIRGO data
analysis and the possibility that our technique can be extended to produce
accurate waveform templates from a modest number of fully-nonlinear numerical
simulations.Comment: 4 pages, 5 figures, revtex
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