32,709 research outputs found
Global well-posedness and scattering for the defocusing energy-critical nonlinear Schr\"odinger equation in
We obtain global well-posedness, scattering, uniform regularity, and global
spacetime bounds for energy-space solutions to the defocusing
energy-critical nonlinear Schr\"odinger equation in . Our
arguments closely follow those of Colliander-Keel-Staffilani-Takaoka-Tao,
though our derivation of the frequency-localized interaction Morawetz estimate
is somewhat simpler. As a consequence, our method yields a better bound on the
-norm
The support of the logarithmic equilibrium measure on sets of revolution in
For surfaces of revolution in , we investigate the limit
distribution of minimum energy point masses on that interact according to
the logarithmic potential , where is the Euclidean distance
between points. We show that such limit distributions are supported only on the
``out-most'' portion of the surface (e.g., for a torus, only on that portion of
the surface with positive curvature). Our analysis proceeds by reducing the
problem to the complex plane where a non-singular potential kernel arises whose
level lines are ellipses
The Corrected Log N-Log Fluence Distribution of Cosmological Gamma-Ray Bursts
Recent analysis of relativistically expanding shells of cosmological
gamma-ray bursts has shown that if the bursts are cosmological, then most
likely total energy (E_0) is standard and not peak luminosity (L_0). Assuming a
flat Friedmann cosmology (q_o = 1/2, Lambda = 0) and constant rate density
(rho_0) of bursting sources, we fit a standard candle energy to a uniformly
selected log N-log S in the BATSE 3B catalog correcting for fluence efficiency
and averaging over 48 observed spectral shapes. We find the data consistent
with E_0 = 7.3^{+0.7}_{-1.0} X 10^{51} ergs and discuss implications of this
energy for cosmological models of gamma-ray bursts.Comment: A five page LateX file that uses the Revtex conference proceedings
macro aipbook.sty, and includes three postscript figures using psfig. To Be
published in the Proceedings of the Third Hunstville Symposium on Gamma-Ray
Bursts, eds. C. Kouveliotou, M.S. Briggs and G.J. Fishman (New York:AIP).
Postscript version availible at http://nis-www.lanl.gov/~jsbloom/LOG_S.p
Foreword
Since it was onlined in 2011, Journal of Harmonia has been accessed by thousands of visitors from all over the world. International index institutions, such as the Directory of Open Access Journal (DOAJ), Google Scholar, Mendely, Citeulike, and Worldcat, have been making Harmonia as one of the journals linked there. Likewise, national index institutions, such as the Indonesia Publication Index (IPI/Portal Garuda), Indonesian Scientific Journal Database (ISJD) that make Harmonia a national indexed journal.Based on the facts above, Harmonia needs to adjust while enhancing the quality and quantity to be more tangible to facilitate the readers and the authors of the article. The change of journal subtitle originally named Harmonia: Jurnal Pengetahuan dan Pemikiran Seni to become Harmonia: Journal of Arts Research and Education, with the entire contents of English articles from Volume 14 Number 1 in 2014 is an effort towards the dissemination of the content of Harmonia articles broadly. A manuscript writing guide is adjusted by using one of the standards of writing in the world of publication, namely the American Psychology Association (APA), though it is not entirely adopted. The addition of subtitles ‘education\u27 in the name of the journal affirms that the scope of the journal focuses on the content of the article about art studies and education.Our great appreciation to all the readers, writers and observers of art and art educators who have been supporting the publication of Harmonia. The expectation is that the presence of Harmonia in a new edition can complete the art literature that can contribute to the development of the science of art and art education
The two dimensional Hubbard model:a theoretical tool for molecular electronics
When speaking about molecular electronics, the obvious question which occurs
is how does one study it theoretically. The simplest theoretical model suitable
for application in molecular electronics is the two dimensional Hubbard model.
The aim of the present paper is to introduce this model, and give some examples
of the systems which it can describe. After a short mathematically oriented
discussion, it will be shown how to calculate the electrical conductivity of a
particular planar system: a rectangular lattice with mutually independent
conductivities along the two axes,but without using the 2D Hamiltonian. This
system could find applications in high Tc studies. It will finally be shown
that the electrical conductivity of graphene can be determined not by using the
full formalism of the Hubbard model, but by a slight reformulation of the
Hamiltonian of the 1D Hubbard modelComment: Lecture given at the 16 Int.School of Cond.Matt.Physics,August
29.,-September 3 2010.,Varna (Bulgaria
Is There Really a de Sitter/CFT Duality
In this paper a de Sitter Space version of Black Hole Complementarity is
formulated which states that an observer in de Sitter Space describes the
surrounding space as a sealed finite temperature cavity bounded by a horizon
which allows no loss of information. We then discuss the implications of this
for the existence of boundary correlators in the hypothesized dS/cft
correspondence. We find that dS complementarity precludes the existence of the
appropriate limits. We find that the limits exist only in approximations in
which the entropy of the de Sitter Space is infinite. The reason that the
correlators exist in quantum field theory in the de Sitter Space background is
traced to the fact that horizon entropy is infinite in QFT.Comment: 12 Figures, STIAS Workshop on Quantum Gravit
New BeppoSAX-WFC results on superbursts
Presently seven superbursters have been identified representing 10% of the
total Galactic X-ray burster population. Four superbursters were discovered
with the Wide Field Cameras (WFCs) on BeppoSAX and three with the All-Sky
Monitor and Proportional Counter Array on RXTE. We discuss the properties of
superbursters as derived from WFC observations. There are two interesting
conclusions. First, the average recurrence time of superbursts among X-ray
bursters that are more luminous than 10% of the Eddington limit is 1.5 yr per
object. Second, superbursters systematically have higher alpha values and
shorter ordinary bursts than most bursters that have not exhibited superbursts,
indicating a higher level of stable thermonuclear helium burning. Theory
predicts hitherto undetected superbursts from the most luminous neutron stars.
We investigate the prospects for finding these in GX~17+2.Comment: Submitted in January 2004 for the Proceedings of the meeting 'X-Ray
Timing 2003: Rossi and Beyond', eds. P. Kaaret, F. K. Lamb, & J. H. Swank
(Melville, NY: American Institute of Physics
Stability of central finite difference schemes for the Heston PDE
This paper deals with stability in the numerical solution of the prominent
Heston partial differential equation from mathematical finance. We study the
well-known central second-order finite difference discretization, which leads
to large semi-discrete systems with non-normal matrices A. By employing the
logarithmic spectral norm we prove practical, rigorous stability bounds. Our
theoretical stability results are illustrated by ample numerical experiments
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