7,548 research outputs found
Quadratic distances on probabilities: A unified foundation
This work builds a unified framework for the study of quadratic form distance
measures as they are used in assessing the goodness of fit of models. Many
important procedures have this structure, but the theory for these methods is
dispersed and incomplete. Central to the statistical analysis of these
distances is the spectral decomposition of the kernel that generates the
distance. We show how this determines the limiting distribution of natural
goodness-of-fit tests. Additionally, we develop a new notion, the spectral
degrees of freedom of the test, based on this decomposition. The degrees of
freedom are easy to compute and estimate, and can be used as a guide in the
construction of useful procedures in this class.Comment: Published in at http://dx.doi.org/10.1214/009053607000000956 the
Annals of Statistics (http://www.imstat.org/aos/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model
The notion of geometric phase has been recently introduced to analyze the
quantum phase transitions of many-body systems from the geometrical
perspective. In this work, we study the geometric phase of the ground state for
an inhomogeneous period-two anisotropic XY model in a transverse field. This
model encompasses a group of familiar spin models as its special cases and
shows a richer critical behavior. The exact solution is obtained by mapping on
a fermionic system through the Jordan-Wigner transformation and constructing
the relevant canonical transformation to realize the diagonalization of the
Hamiltonian coupled in the -space. The results show that there may exist
more than one quantum phase transition point at some parameter regions and
these transition points correspond to the divergence or extremum properties of
the Berry curvature.Comment: 6 pages, 3 figures. As a backup of a previous work and some typos in
the published version are fixe
SED-inferred properties and morphology of Lyman-break galaxies at in the CDF-S
After carefully cross-identifying a previously discovered GALEX-selected
Lyman Break Galaxy (LBG) candidates one-to-one with their optical counterparts
in the field of the CDF-S, we re-estimate their photometric redshifts using
multi-wavelength data from UV, optical to NIR. We refine a new updated sample
of 383 LBGs at 0.7\la z \la 1.4.
Most LBGs are classified as starburst and irregular types. Ages spread from
several Myr to 1.5Gyr. Their dust-corrected star formation rates (SFRs) and
stellar masses () are from 4\my to 220\my and from 2.3\times 10^8
\msun to 4 \times 10^{11} \msun. The rest-frame FUV luminosity function of
LBGs are presented. LBGs of irregular types mainly distribute along the "main
sequence" of star forming galaxies while most LBGs of starburst types locate in
the starburst region. A "downsizing" effect is clearly found and LBGs
distribute in the "blue" cloud.
HST images in F606W ( band) and F850LP ( band) are taken from the GEMS
and GOODS-S surveys. SExtractor and GALFIT are applied to get their
morphological parameters. A morphological sample of 142 LBGs with reliable
results of \sersic and sizes in both bands is defined. We find that LBGs at
are dominated by disk-like galaxies. Correlations between
photometric and morphological properties of LBGs are investigated. Strong
correlations between their half-light radii and , i.e., size-stellar mass
relations, are found in both bands. Physical connections between correlations
and the "downsizing" effect are discussed.Comment: 26 pages, 30 figures, 6 tables, accepted by MNRA
Abelian and Non-Abelian Quantum Geometric Tensor
We propose a generalized quantum geometric tenor to understand topological
quantum phase transitions, which can be defined on the parameter space with the
adiabatic evolution of a quantum many-body system. The generalized quantum
geometric tenor contains two different local measurements, the non-Abelian
Riemannian metric and the non-Abelian Berry curvature, which are recognized as
two natural geometric characterizations for the change of the ground-state
properties when the parameter of the Hamiltonian varies. Our results show the
symmetry-breaking and topological quantum phase transitions can be understood
as the singular behavior of the local and topological properties of the quantum
geometric tenor in the thermodynamic limit.Comment: 5 pages, 2 figure
Study on the variation law of temperature field in three-roll skew rolling of variable diameter specimen
This paper takes the simplified high-speed train hollow axle variable diameter section sample as the research object, uses Simufact.Forming simulation software for simulation, analyze the rolling piece inner variable diameter section, equal diameter section, outer variable diameter section three stages in the forming process of temperature field distribution characteristics and variation, and discusses the causes of temperature field variation
Study on the variation law of temperature field in three-roll skew rolling of variable diameter specimen
This paper takes the simplified high-speed train hollow axle variable diameter section sample as the research object, uses Simufact.Forming simulation software for simulation, analyze the rolling piece inner variable diameter section, equal diameter section, outer variable diameter section three stages in the forming process of temperature field distribution characteristics and variation, and discusses the causes of temperature field variation
Effect of feed rate on forming quality of cross wedge rolling of gear shaft teeth
In order to improve the forming quality of cross wedge rolling of gear shaft teeth, this paper adopts the single factor research method and uses DEFORM - 3D software to carry out the finite element simulation of the rolling process with different feed rate dies.The results show that the total feed rate of 2,75 mm is the most appropriate, and the tooth top defect of rolled piece gear can be repaired under this condition. The feed rate in the first stage is more important than that in the other stages, and the suitable range of it is 1,0 mm - 1,2 mm
On the local aspect of valleytronics
Valley magnetic moments play a crucial role in valleytronics in 2D hexagonal
materials. Traditionally, based on studies of quantum states in homogeneous
bulks, it is widely believed that only materials with broken structural
inversion symmetry can exhibit nonvanishing valley magnetic moments. Such
constraint excludes from relevant applications those with inversion symmetry,
as specifically exemplified by gapless monolayer graphene despite its
technological advantage in routine growth and production. This work revisits
valley-derived magnetic moments in a broad context covering inhomogeneous
structures as well. It generalizes the notion of valley magnetic moment for a
state from an integrated total quantity to the local field called "local valley
magnetic moment" with space-varying distribution. In suitable
inversion-symmetric structures with inhomogeneity, e.g., zigzag nanoribbons of
gapless monolayer graphene, it is shown that the local moment of a state can be
nonvanishing with sizable magnitude, while the corresponding total moment is
subject to the broken symmetry constraint. Moreover, it is demonstrated that
such local moment can interact with space-dependent electric and magnetic
fields manifesting pronounced field effects and making possible a local valley
control with external fields. Overall, a path to "local valleytronics" is
illustrated which exploits local valley magnetic moments for device
applications, relaxes the broken symmetry constraint on materials, and expands
flexibility in the implementation of valleytronics
A free-standing graphene-polypyrrole hybrid paper via electropolymerization with an enhanced areal capacitance
Here we developed a free-standing reduced graphene oxide (rGO)-polypyrrole (PPy) hybrid paper via electropolymerization on a paper-like graphene gel. This flexible hybrid paper displayed a uniform layered structure with PPy coated onto the graphene layers. A high areal mass of 2.7 mg cm−2 could be obtained. It delivered a greatly enhanced areal capacitance of 440 mF cm−2 at 0.5 A g−1, in contrast to that 151∼198.5 mF cm−2 previously reported for graphene paper or polypyrrole-graphene paper. It can retain ∼81% of the initial capacitance at a high current density of 6 A g−1. The combined high flexibility with outstanding electrochemical performance, makes such novel hybrid paper a promising electrode for flexible supercapacitors
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