84,016 research outputs found
Free geometric adjustment of the SECOR Equatorial Network (Solution SECOR-27)
The basic purpose of this experiment is to compute reduced normal equations from the observational data of the SECOR Equatorial Network obtained from DMA/Topographic Center, D/Geodesy, Geosciences Div. Washington, D.C. These reduced normal equations are to be combined with reduced normal equations of other satellite networks of the National Geodetic Satellite Program to provide station coordinates from a single least square adjustment. An individual SECOR solution was also obtained and is presented in this report, using direction constraints computed from BC-4 optical data from stations collocated with SECOR stations. Due to the critical configuration present in the range observations, weighted height constraints were also applied in order to break the near coplanarity of the observing stations
Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
Motivated by the quest for experimentally accessible dynamical probes of
Floquet topological insulators, we formulate the linear response theory of a
periodically driven system. We illustrate the applications of this formalism by
giving general expressions for optical conductivity of Floquet systems,
including its homodyne and heterodyne components and beyond. We obtain the
Floquet optical conductivity of specific driven models, including
two-dimensional Dirac material such as the surface of a topological insulator,
graphene, and the Haldane model irradiated with circularly or linearly
polarized laser, as well as semiconductor quantum well driven by an ac
potential. We obtain approximate analytical expressions and perform numerically
exact calculations of the Floquet optical conductivity in different scenarios
of the occupation of the Floquet bands, in particular, the diagonal Floquet
distribution and the distribution obtained after a quench. We comment on
experimental signatures and detection of Floquet topological phases using
optical probes.Comment: 16 pages, 10 figure
Effective usage of e-resources
There is large quantity of subscribed e-resources which contain quality rich information in most of the technical institute libraries. In spite of advantages in terms of access and search capabilities, they are underused. Systematic plan has to be in place for their promotion of use. While a good ICT infrastructure is a prerequisite, it alone will not do. Proactive strategies are required and these need to be adopted imaginatively. Access to e-resources need to be made easier for both on campus and off campus users. Training will increase the confidence level of the users. Traditional awareness methods include: Personal visits, orientations, brochures, posters and displays. Newer technologies from the Web 2.0 such as RSS alert service, Blogs, Wikis and Face book make the interaction with the library not only interesting but also add more value
Effect of magnetic flux and of electron momentum on the transmission amplitude in the Aharonov-Bohm ring
A characterization of the two-terminal open-ring Aharonov-Bohm interferometer
is made by analyzing the phase space plots in the complex transmission
amplitude plane. Two types of plots are considered: type I plot which uses the
magnetic flux as the variable parameter and type II plot which uses the
electron momentum as the variable parameter. In type I plot, the trajectory
closes upon itself only when the ratio of the arm lengths (of the
interferometer) is a rational fraction, the shape and the type of the generated
flower-like pattern is sensitive to the electron momentum. For momenta
corresponding to discrete eigenstates of the perfect ring (i.e. the ring
without the leads), the trajectory passes through the origin a certain fixed
number of times before closing upon itself, whereas for arbitrary momenta it
never passes through the origin. Although the transmission coefficient is
periodic in the flux with the elementary flux quantum as the basic period, the
phenomenon of electron transmission is shown not to be so when analyzed via the
present technique. The periodicity is seen to spread over several flux units
whenever is a rational fraction whereas there is absolutely no periodicity
present when is an irrational number. In type II plot, closed trajectories
passing through the origin a number of times are seen for being a rational
fraction. The case R=1 (i.e. a symmetric ring) with zero flux is rather
pathological--it presents a closed loop surrounding the origin. For irrational
values, the trajectories never close.Comment: accepted in Int. J. Mod. Phys. B, RevTeX
Transformation Optics scheme for two-dimensional materials
Two dimensional optical materials, such as graphene can be characterized by a
surface conductivity. So far, the transformation optics schemes have focused on
three dimensional properties such as permittivity and permeability
. In this paper, we use a scheme for transforming surface currents to
highlight that the surface conductivity transforms in a way different from
and . We use this surface conductivity transformation to
demonstrate an example problem of reducing scattering of plasmon mode from
sharp protrusions in graphene
Strings, Junctions and Stability
Identification of string junction states of pure SU(2) Seiberg-Witten theory
as B-branes wrapped on a Calabi-Yau manifold in the geometric engineering limit
is discussed. The wrapped branes are known to correspond to objects in the
bounded derived category of coherent sheaves on the projective line \cp{1} in
this limit. We identify the pronged strings with triangles in the underlying
triangulated category using Pi-stability. The spiral strings in the weak
coupling region are interpreted as certain projective resolutions of the
invertible sheaves. We discuss transitions between the spiral strings and
junctions using the grade introduced for Pi-stability through the central
charges of the corresponding objects.Comment: 15 pages, LaTeX; references added. typos correcte
Self-similar collapse and the structure of dark matter halos: A fluid approach
We explore the dynamical restrictions on the structure of dark matter halos
through a study of cosmological self-similar gravitational collapse solutions.
A fluid approach to the collisionless dynamics of dark matter is developed and
the resulting closed set of moment equations are solved numerically including
the effect of halo velocity dispersions (both radial and tangential), for a
range of spherically averaged initial density profiles. Our results highlight
the importance of tangential velocity dispersions to obtain density profiles
shallower than in the core regions, and for retaining a memory of the
initial density profile, in self-similar collapse. For an isotropic core
velocity dispersion only a partial memory of the initial density profile is
retained. If tangential velocity dispersions in the core are constrained to be
less than the radial dispersion, a cuspy core density profile shallower than
cannot obtain, in self-similar collapse.Comment: 25 pages, 7 figures, submitted to Ap
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