15,119 research outputs found
Principal component analysis - an efficient tool for variable stars diagnostics
We present two diagnostic methods based on ideas of Principal Component
Analysis and demonstrate their efficiency for sophisticated processing of
multicolour photometric observations of variable objects.Comment: 8 pages, 4 figures. Published alread
Plus-minus construction leads to perfect invisibility
Recent theoretical advances applied to metamaterials have opened new avenues
to design a coating that hides objects from electromagnetic radiation and even
the sight. Here, we propose a new design of cloaking devices that creates
perfect invisibility in isotropic media. A combination of positive and negative
refractive indices, called plus-minus construction, is essential to achieve
perfect invisibility (i.e., no time delay and total absence of reflection).
Contrary to the common understanding that between two isotropic materials
having different refractive indices the electromagnetic reflection is
unavoidable, our method shows that surprisingly the reflection phenomena can be
completely eliminated. The invented method, different from the classical
impedance matching, may also find electromagnetic applications outside of
cloaking devices, wherever distortions are present arising from reflections.Comment: 24 pages, 10 figure
Sheath parameters for non-Debye plasmas: simulations and arc damage
This paper describes the surface environment of the dense plasma arcs that
damage rf accelerators, tokamaks and other high gradient structures. We
simulate the dense, non-ideal plasma sheath near a metallic surface using
Molecular Dynamics (MD) to evaluate sheaths in the non-Debye region for high
density, low temperature plasmas. We use direct two-component MD simulations
where the interactions between all electrons and ions are computed explicitly.
We find that the non-Debye sheath can be extrapolated from the Debye sheath
parameters with small corrections. We find that these parameters are roughly
consistent with previous PIC code estimates, pointing to densities in the range
. The high surface fields implied by these
results could produce field emission that would short the sheath and cause an
instability in the time evolution of the arc, and this mechanism could limit
the maximum density and surface field in the arc. These results also provide a
way of understanding how the "burn voltage" of an arc is generated, and the
relation between self sputtering and the burn voltage, while not well
understood, seems to be closely correlated. Using these results, and equating
surface tension and plasma pressure, it is possible to infer a range of plasma
densities and sheath potentials from SEM images of arc damage. We find that the
high density plasma these results imply and the level of plasma pressure they
would produce is consistent with arc damage on a scale 100 nm or less, in
examples where the liquid metal would cool before this structure would be lost.
We find that the sub-micron component of arc damage, the burn voltage, and
fluctuations in the visible light production of arcs may be the most direct
indicators of the parameters of the dense plasma arc, and the most useful
diagnostics of the mechanisms limiting gradients in accelerators.Comment: 8 pages, 16 figure
Casimir force between planes as a boundary finite size effect
The ground state energy of a boundary quantum field theory is derived in
planar geometry in D+1 dimensional spacetime. It provides a universal
expression for the Casimir energy which exhibits its dependence on the boundary
conditions via the reflection amplitudes of the low energy particle
excitations. We demonstrate the easy and straightforward applicability of the
general expression by analyzing the free scalar field with Robin boundary
condition and by rederiving the most important results available in the
literature for this geometry.Comment: 10 pages, 2 eps figures, LaTeX2e file. v2: A reference is added, some
minor modifications made to clarify the text. v3: 9 pages, 3 eps figures,
LaTeX2e file, revtex style. Paper throughly restructured and rewritten. Much
more details are given, but essential results and conclusions are unchanged.
Version accepted for publicatio
On the maximal number of real embeddings of spatial minimally rigid graphs
The number of embeddings of minimally rigid graphs in is (by
definition) finite, modulo rigid transformations, for every generic choice of
edge lengths. Even though various approaches have been proposed to compute it,
the gap between upper and lower bounds is still enormous. Specific values and
its asymptotic behavior are major and fascinating open problems in rigidity
theory. Our work considers the maximal number of real embeddings of minimally
rigid graphs in . We modify a commonly used parametric
semi-algebraic formulation that exploits the Cayley-Menger determinant to
minimize the {\em a priori} number of complex embeddings, where the parameters
correspond to edge lengths. To cope with the huge dimension of the parameter
space and find specializations of the parameters that maximize the number of
real embeddings, we introduce a method based on coupler curves that makes the
sampling feasible for spatial minimally rigid graphs.
Our methodology results in the first full classification of the number of
real embeddings of graphs with 7 vertices in , which was the
smallest open case. Building on this and certain 8-vertex graphs, we improve
the previously known general lower bound on the maximum number of real
embeddings in
Photonic Clusters
We show through rigorous calculations that dielectric microspheres can be
organized by an incident electromagnetic plane wave into stable cluster
configurations, which we call photonic molecules. The long-range optical
binding force arises from multiple scattering between the spheres. A photonic
molecule can exhibit a multiplicity of distinct geometries, including
quasicrystal-like configurations, with exotic dynamics. Linear stability
analysis and dynamical simulations show that the equilibrium configurations can
correspond with either stable or a type of quasi-stable states exhibiting
periodic particle motion in the presence of frictional dissipation.Comment: 4 pages, 3 figure
Longitudinal chirality, enhanced non-reciprocity, and nano-scale planar one-way guiding
When a linear chain of plasmonic nano-particles is exposed to a transverse DC
magnetic field, the chain modes are elliptically polarized, in a single plane
parallel to the chain axis; hence, a novel longitudinal plasmon-rotation is
created. If, in addition, the chain geometry possesses longitudinal rotation,
e.g. by using ellipsoidal particles that rotate in the same plane as the
plasmon rotation, strong non-reciprocity is created. The structure possesses a
new kind of chirality--the longitudinal chirality--and supports one-way
guiding. Since all particles rotate in the same plane, the geometry is planar
and can be fabricated by printing leaf-like patches on a single plane.
Furthermore, the magnetic field is significantly weaker than in previously
reported one-way guiding structures. These properties are examined for ideal
(lossless) and for lossy chains.Comment: to appear in PR
The moving boundary problem in the presence of a dipole magnetic field
An exact analytic solution is obtained for a uniformly expanding, neutral,
infinitely conducting plasma sphere in an external dipole magnetic field. The
electrodynamical aspects related to the radiation and transformation of energy
were considered as well. The results obtained can be used in analyzing the
recent experimental and simulation data.Comment: 17 pages, 1 figure, Submitted to J. Phys. A, Math. and Genera
Electronic Properties of Graphene in a Strong Magnetic Field
We review the basic aspects of electrons in graphene (two-dimensional
graphite) exposed to a strong perpendicular magnetic field. One of its most
salient features is the relativistic quantum Hall effect the observation of
which has been the experimental breakthrough in identifying pseudo-relativistic
massless charge carriers as the low-energy excitations in graphene. The effect
may be understood in terms of Landau quantization for massless Dirac fermions,
which is also the theoretical basis for the understanding of more involved
phenomena due to electronic interactions. We present the role of
electron-electron interactions both in the weak-coupling limit, where the
electron-hole excitations are determined by collective modes, and in the
strong-coupling regime of partially filled relativistic Landau levels. In the
latter limit, exotic ferromagnetic phases and incompressible quantum liquids
are expected to be at the origin of recently observed (fractional) quantum Hall
states. Furthermore, we discuss briefly the electron-phonon coupling in a
strong magnetic field. Although the present review has a dominating theoretical
character, a close connection with available experimental observation is
intended.Comment: 56 pages, 27 figures; published version with minor corrections and
updated reference
High-resolution images of five radio quasars at early cosmological epochs
Context: Until now, there have only been seven quasars at z>4.5 whose the
high-resolution radio structure had been studied in detail with Very Long
Baseline Interferometry (VLBI) imaging. Aims: We almost double the number of
VLBI-imaged quasars at these high redshifts with the aim of studying their
redshift-dependent structural and physical properties in a larger sample.
Methods: We observed five radio quasars (J0813+3508, J1146+4037, J1242+5422,
J1611+0844, and J1659+2101) at 4.5<z<5 with the European VLBI Network (EVN) at
1.6 GHz on 29 October 2008 and at 5 GHz on 22 October 2008. The angular
resolution achieved ranges from 1.5 to 25 milli-arcseconds (mas), depending on
the observing frequency, the position angle in the sky, and the source's
celestial position. Results: The sources are all somewhat extended on mas
scales, but compact enough to be detected at both frequencies. With one
exception of a flat-spectrum source (J1611+0844), their compact emission is
characterised by a steep radio spectrum. We found no evidence of
Doppler-boosted radio emission in the quasars in our sample. The radio
structure of one of them (J0813+3508) is extended to ~7", which corresponds to
43 kpc projected linear size. Many of the highest redshift compact radio
sources are likely to be young, evolving objects, far-away cousins of the
powerful gigahertz peaked-spectrum (GPS) and compact steep-spectrum (CSS)
sources that populate the Universe at lower redshifts.Comment: 7 pages, 2 figures, accepted for Astronomy & Astrophysic
- …