3,509 research outputs found
An alternative singularity-free cosmological scenario from cusp geometries
We study an alternative geometrical approach on the problem of classical
cosmological singularity. It is based on a generalized function which consists of a cusped coupled isosurface.
Such a geometry is computed and discussed into the context of Friedmann
singularity-free cosmology where a pre-big bang scenario is considered.
Assuming that the mechanism of cusp formation is described by non-linear
oscillations of a pre-big bang extended very high energy density field (), we show that the action under the gravitational
field follows a tautochrone of revolution, understood here as the primary
projected geometry that alternatively replaces the Friedmann singularity in the
standard big bang theory. As shown here this new approach allows us to
interpret the nature of both matter and dark energy from first geometric
principles.Comment: Proceedings of Sixth International School on Field Theory and
Gravitation-2012 - by American Institute of Physic
Curves on torus layers and coding for continuous alphabet sources
In this paper we consider the problem of transmitting a continuous alphabet
discrete-time source over an AWGN channel. The design of good curves for this
purpose relies on geometrical properties of spherical codes and projections of
-dimensional lattices. We propose a constructive scheme based on a set of
curves on the surface of a 2N-dimensional sphere and present comparisons with
some previous works.Comment: 5 pages, 4 figures. Accepted for presentation at 2012 IEEE
International Symposium on Information Theory (ISIT). 2th version: typos
corrected. 3rd version: some typos corrected, a footnote added in Section III
B, a comment added in the beggining of Section V and Theorem I adde
Constructive spherical codes on layers of flat tori
A new class of spherical codes is constructed by selecting a finite subset of
flat tori from a foliation of the unit sphere S^{2L-1} of R^{2L} and designing
a structured codebook on each torus layer. The resulting spherical code can be
the image of a lattice restricted to a specific hyperbox in R^L in each layer.
Group structure and homogeneity, useful for efficient storage and decoding, are
inherited from the underlying lattice codebook. A systematic method for
constructing such codes are presented and, as an example, the Leech lattice is
used to construct a spherical code in R^{48}. Upper and lower bounds on the
performance, the asymptotic packing density and a method for decoding are
derived.Comment: 9 pages, 5 figures, submitted to IEEE Transactions on Information
Theor
Asymptotically AdS brane black holes
We study the possibility of having a static, asymptotically AdS black hole
localized on a braneworld with matter fields, within the framework of the
Randall and Sundrum scenario. We attempt to look for such a brane black hole
configuration by slicing a given bulk spacetime and taking Z_2 symmetry about
the slices. We find that such configurations are possible, and as an explicit
example, we provide a family of asymptotically AdS brane black hole solutions
for which both the bulk and brane metrics are regular on and outside the black
hole horizon and brane matter fields are realistic in the sense that the
dominant energy condition is satisfied. We also find that our braneworld models
exhibit signature change inside the black hole horizon.Comment: 21 pages, 6 figures, RevTex; v2: clarifications added, figures
updated, eq.31 corrected, comment on small four dimensional cosmological
constant limit added, character size increased, results unchanged. v3:
reference added, version accepted in Phys. Rev. D (2006
Stochastic properties of systems controlled by autocatalytic reactions II
We analyzed the stochastic behavior of systems controlled by autocatalytic
reaction A+X -> X+X, X+X -> A+X, X -> B provided that the distribution of
reacting particles in the system volume is uniform, i.e. the point model of
reaction kinetics introduced in arXiv:cond-mat/0404402 can be applied. Assuming
the number of substrate particles A to be kept constant by a suitable
reservoir, we derived the forward Kolmogorov equation for the probability of
finding n=0,1,... autocatalytic particles X in the system at a given time
moment. We have shown that the stochastic model results in an equation for the
mean value of autocatalytic particles X which differs strongly from the kinetic
rate equation. It has been found that not only the law of the mass action is
violated but also the bifurcation point is disappeared in the well-known
diagram of X particle- vs. A particle-concentration. Therefore, speculations
about the role of autocatalytic reactions in processes of the "natural
selection" can be hardly supported.Comment: 17 pages, 6 figure
Polaron Induced Deformations in Carbon Nanotubes
We compute for the first time full elastic deformations, as well as length,
of self-trapped electronic states in carbon nanotubes of general radius and
chirality, within the unifying framework of a recently introduced two field
model for electromechanics of carbon nano-structures. We find that deformations
are highly non monotonic in the chiral angle, whereas the length of the polaron
is not. Applications include nano-mechanical devices as electrically or
optically driven nano-actuators.Comment: 4 Pages, 1 Figure Phys Rev B Brief Repor
Current distribution in a parallel configuration superconducting strip-line detector
Superconducting detectors based on parallel microscopic strip-lines are promising candidates for single molecule detection in time-of-flight mass spectrometry. The device physics of this configuration is complex. In this letter, we employ nano-optical techniques to study the variation of current density, count rate, and pulse amplitude transversely across the parallel strip device. Using the phenomenological London theory, we are able to correlate our results to a non-uniform current distribution between the strips, governed by the London magnetic penetration depth. This fresh perspective convincingly explains anomalous behaviour in large area parallel superconducting strip-line detectors reported in previous studies
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