10,921 research outputs found
Calibration System with Cryogenically-Cooled Loads for CMB Polarization Detectors
We present a novel system to calibrate millimeter-wave polarimeters for CMB
polarization measurements. This technique is an extension of the conventional
metal mirror rotation approach, however it employs cryogenically-cooled
blackbody absorbers. The primary advantage of this system is that it can
generate a slightly polarized signal ( mK) in the laboratory; this is
at a similar level to that measured by ground-based CMB polarization
experiments observing a 10 K sky. It is important to reproduce the
observing condition in the laboratry for reliable characterization of
polarimeters before deployment. In this paper, we present the design and
principle of the system, and demonstrate its use with a coherent-type
polarimeter used for an actual CMB polarization experiment. This technique can
also be applied to incoherent-type polarimeters and it is very promising for
the next-generation CMB polarization experiments.Comment: 7 pages, 9 figures Submitted to RS
Innovative Demodulation Scheme for Coherent Detectors in CMB Experiments
We propose an innovative demodulation scheme for coherent detectors used in
cosmic microwave background polarization experiments. Removal of non-white
noise, e.g., narrow-band noise, in detectors is one of the key requirements for
the experiments. A combination of modulation and demodulation is used to
extract polarization signals as well as to suppress such noise. Traditional
demodulation, which is based on the two- point numerical differentiation, works
as a first-order high pass filter for the noise. The proposed demodulation is
based on the three-point numerical differentiation. It works as a second-order
high pass filter. By using a real detector, we confirmed significant
improvements of suppression power for the narrow-band noise. We also found
improvement of the noise floor.Comment: 3 pages, 4 figure
Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor
This is the second paper in a series. In part I we developed deformation
theory of objects in homotopy and derived categories of DG categories. Here we
extend these (derived) deformation functors to an appropriate bicategory of
artinian DG algebras and prove that these extended functors are
pro-representable in a strong sense.Comment: Alexander Efimov is a new co-author of this paper. New material was
added: A_{\infty}-structures, Maurer-Cartan theory for A_{\infty}-algebras.
This allows us to strengthen our main results on the pro-representability of
pseudo-functors coDEF_{-} and DEF_{-}. We also obtain an equivalence between
homotopy and derived deformation functors under weaker hypothese
Moment equations for chemical reactions on interstellar dust grains
While most chemical reactions in the interstellar medium take place in the
gas phase, those occurring on the surfaces of dust grains play an essential
role. Chemical models based on rate equations including both gas phase and
grain surface reactions have been used in order to simulate the formation of
chemical complexity in interstellar clouds. For reactions in the gas phase and
on large grains, rate equations, which are highly efficient to simulate, are an
ideal tool. However, for small grains under low flux, the typical number of
atoms or molecules of certain reactive species on a grain may go down to order
one or less. In this case the discrete nature of the opulations of reactive
species as well as the fluctuations become dominant, thus the mean-field
approximation on which the rate equations are based does not apply. Recently, a
master equation approach, that provides a good description of chemical
reactions on interstellar dust grains, was proposed. Here we present a related
approach based on moment equations that can be obtained from the master
equation. These equations describe the time evolution of the moments of the
distribution of the population of the various chemical species on the grain. An
advantage of this approach is the fact that the production rates of molecular
species are expressed directly in terms of these moments. Here we use the
moment equations to calculate the rate of molecular hydrogen formation on small
grains. It is shown that the moment equation approach is efficient in this case
in which only a single reactive specie is involved. The set of equations for
the case of two species is presented and the difficulties in implementing this
approach for complex reaction networks involving multiple species are
discussed.Comment: 12 pages, submitted for publication in A&
The Metal-Insulator Transition in the Doubly Degenerate Hubbard Model
A systematic study has been made on the metal-insulator (MI) transition of
the doubly degenerate Hubbard model (DHM) in the paramagnetic ground state, by
using the slave-boson mean-field theory which is equivalent to the Gutzwiller
approximation (GA). For the case of infinite electron-electron interactions, we
obtain the analytic solution, which becomes exact in the limit of infinite
spatial dimension. On the contrary, the finite-interaction case is investigated
by numerical methods with the use of the simple-cubic model with the
nearest-neighbor hopping. The mass-enhancement factor, , is shown to
increase divergently as one approaches the integer fillings (), at
which the MI transition takes place, being the total number of electrons.
The calculated dependence of is compared with the observed
specific-heat coefficient, , of which is reported
to significantly increase as approaches unity.Comment: Latex 16 pages, 10 ps figures included, published in J. Phys. Soc.
Jpn. with some minor modifications. ([email protected]
Study of Ion Energy Distribution Measurement Using Ion Reflection on Solid Surfaces in Plasma
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