58,795 research outputs found
The Lanczos algorithm with selective orthogonalization
A new stable and efficient implementation of the Lanczos algorithm is presented. The algorithm is a powerful method for finding a few eigenvalues and eigenvectors at one or both ends of the spectrum of a symmetric matrix A. The algorithm is particularly effective if A is large and sparse in that the only way in which A enters the calculation is through a subroutine which computes Av for any vector v. Thus the user is free to take advantage of any sparsity structure in A and A need not even be represented as a matrix et al
Multifunctional Magnetoelectric Materials for Device Applications
Mutiferroics are a novel class of next generation multifunctional materials,
which display simultaneous magnetic spin, electric dipole, and ferroelastic
ordering, and have drawn increasing interest due to their multi-functionality
for a variety of device applications. Since single-phase materials exist rarely
in nature with such cross-coupling properties, an intensive research activity
is being pursued towards the discovery of new single-phase multiferroic
materials and the design of new engineered materials with strong
magneto-electric (ME) coupling. This review article summarizes the development
of different kinds of multiferroic material: single-phase and composite
ceramic, laminated composite, and nanostructured thin films. Thin-film
nanostructures have higher magnitude direct ME coupling values and clear
evidence of indirect ME coupling compared with bulk materials. Promising ME
coupling coefficients have been reported in laminated composite materials in
which signal to noise ratio is good for device fabrication. We describe the
possible applications of these materials
Photoionization cross sections of O II, O III, O IV, and O V: benchmarking R-matrix theory and experiments
For crucial tests between theory and experiment, ab initio close coupling
calculations are carried out for photoionization of O II, O III, O IV, O V. The
relativistic fine structure and resonance effects are studied using the
R-matrix and its relativistic variant the Breit Pauli R-matrix (BPRM)
approximation. Detailed comparison is made with high resolution experimental
measurements carried out in three different set-ups: Advanced Light Source at
Berkeley, and synchrotron radiation experiments at University of Aarhus and
University of Paris-Sud. The comparisons illustrate physical effects in
photoionization such as (i) fine structure, (ii) resolution, and (iii)
metastable components. Photoionization cross sections sigma{PI} of the ground
and a few low lying excited states of these ions obtained in the experimental
spectrum include combined features of these states. Theoretically calculated
resonances need to be resolved with extremely fine energy mesh for precise
comparison. In addition, prominent resonant features are observed in the
measured spectra from transitions allowed with relativistic fine structure, but
not in LS coupling. The sigma_{PI} are obtained for ground and metastable (i)
2s^22p^3(^4S^o, ^2D^o, ^2P^o) states of O II, (ii) 2s^22p^2(^3P,^1D,^1S) and
2s2p^3(^5S^o) states of O III, (iii) 2s^22p(^2P^o_J) and 2s2p^2(^4P_J) levels
of O IV, and (iv) 2s^2(^1S) and 2s2p(^3P^o,^1P^o) states of O V. It is found
that resonances in ground and metastable cross sections can be a diagnostic of
experimental beam composition, with potential ap plications to astrophysical
and laboratory plasma environments.Comment: 27 pages, 7 figs., submitted to Phys. Rev. A., text with high
resolution figures at http://www.astronomy.ohio-state.edu/~pradhan/Oions.p
Dynamical Origin of Extrasolar Planet Eccentricity Distribution
We explore the possibility that the observed eccentricity distribution of
extrasolar planets arose through planet-planet interactions, after the initial
stage of planet formation was complete. Our results are based on ~3250
numerical integrations of ensembles of randomly constructed planetary systems,
each lasting 100 Myr. We find that for a remarkably wide range of initial
conditions the eccentricity distributions of dynamically active planetary
systems relax towards a common final equilibrium distribution, well described
by the fitting formula dn ~ e exp[-1/2 (e/0.3)^2] de. This distribution agrees
well with the observed eccentricity distribution for e > 0.2, but predicts too
few planets at lower eccentricities, even when we exclude planets subject to
tidal circularization. These findings suggest that a period of large-scale
dynamical instability has occurred in a significant fraction of newly formed
planetary systems, lasting 1--2 orders of magnitude longer than the ~1 Myr
interval in which gas-giant planets are assembled. This mechanism predicts no
(or weak) correlations between semimajor axis, eccentricity, inclination, and
mass in dynamically relaxed planetary systems. An additional observational
consequence of dynamical relaxation is a significant population of planets
(>10%) that are highly inclined (>25deg) with respect to the initial symmetry
plane of the protoplanetary disk; this population may be detectable in
transiting planets through the Rossiter-McLaughlin effect.Comment: Accepted to ApJ, conclusions updated to reflect the current
observational constraint
A Migration Study of \u3ci\u3eStelidota Geminata\u3c/i\u3e (Coleoptera: Nitidulidae)
The strawberry sap beetle, Stelidota geminata (Say), is a major pest of strawberries in the northeastern United States. Further knowledge of the migratory habits of this insect pest can enhance the effectiveness of pest management strategies. This nitidulid was shown to migrate from its overwintering sites to one of its primary reproductive sites, strawberry fields, in late May. The beetle population peaked in the third week in July, 1993 in the strawberry field and then gradually declined. In 1994, the peak, as well as the total population, was much greater than in 1993. Furthermore, S. geminata was concentrated in the transition areas surrounding the strawberry fields prior to the ripening of the fruit
Classification of n-qubit states with minimum orbit dimension
The group of local unitary transformations acts on the space of n-qubit pure
states, decomposing it into orbits. In a previous paper we proved that a
product of singlet states (together with an unentangled qubit for a system with
an odd number of qubits) achieves the smallest possible orbit dimension, equal
to 3n/2 for n even and (3n + 1)/2 for n odd, where n is the number of qubits.
In this paper we show that any state with minimum orbit dimension must be of
this form, and furthermore, such states are classified up to local unitary
equivalence by the sets of pairs of qubits entangled in singlets.Comment: 15 pages, latex, revision 2, conclusion added, some proofs shortene
Symmetric mixed states of qubits: local unitary stabilizers and entanglement classes
We classify, up to local unitary equivalence, local unitary stabilizer Lie
algebras for symmetric mixed states into six classes. These include the
stabilizer types of the Werner states, the GHZ state and its generalizations,
and Dicke states. For all but the zero algebra, we classify entanglement types
(local unitary equivalence classes) of symmetric mixed states that have those
stabilizers. We make use of the identification of symmetric density matrices
with polynomials in three variables with real coefficients and apply the
representation theory of SO(3) on this space of polynomials.Comment: 10 pages, 1 table, title change and minor clarifications for
published versio
Reflectionless analytic difference operators II. Relations to soliton systems
This is the second part of a series of papers dealing with an extensive class
of analytic difference operators admitting reflectionless eigenfunctions. In
the first part, the pertinent difference operators and their reflectionless
eigenfunctions are constructed from given ``spectral data'', in analogy with
the IST for reflectionless Schr\"odinger and Jacobi operators. In the present
paper, we introduce a suitable time dependence in the data, arriving at
explicit solutions to a nonlocal evolution equation of Toda type, which may be
viewed as an analog of the KdV and Toda lattice equations for the latter
operators. As a corollary, we reobtain various known results concerning
reflectionless Schr\"odinger and Jacobi operators. Exploiting a
reparametrization in terms of relativistic Calogero--Moser systems, we also
present a detailed study of -soliton solutions to our nonlocal evolution
equation
Ultraviolet/X-ray variability and the extended X-ray emission of the radio-loud broad absorption line quasar PG 1004+130
We present the results of recent Chandra, XMM-Newton, and Hubble Space
Telescope observations of the radio-loud (RL), broad absorption line (BAL)
quasar PG 1004+130. We compare our new observations to archival X-ray and UV
data, creating the most comprehensive, high signal-to-noise, multi-epoch,
spectral monitoring campaign of a RL BAL quasar to date. We probe for
variability of the X-ray absorption, the UV BAL, and the X-ray jet, on
month-year timescales. The X-ray absorber has a low column density of
cm when it is assumed to be fully
covering the X-ray emitting region, and its properties do not vary
significantly between the 4 observations. This suggests the observed absorption
is not related to the typical "shielding gas" commonly invoked in BAL quasar
models, but is likely due to material further from the central black hole. In
contrast, the CIV BAL shows strong variability. The equivalent width (EW) in
2014 is EW=11.240.56 \AA, showing a fractional increase of =1.160.11 from the 2003 observation, 3183 days earlier
in the rest-frame. This places PG 1004+130 among the most highly variable BAL
quasars. By combining Chandra observations we create an exposure 2.5 times
deeper than studied previously, with which to investigate the nature of the
X-ray jet and extended diffuse X-ray emission. An X-ray knot, likely with a
synchrotron origin, is detected in the radio jet ~8 arcsec (30 kpc) from the
central X-ray source with a spatial extent of ~4 arcsec (15 kpc). No similar
X-ray counterpart to the counterjet is detected. Asymmetric, non-thermal
diffuse X-ray emission, likely due to inverse Compton scattering of Cosmic
Microwave Background photons, is also detected.Comment: 15 pages, 7 figures, 3 tables. Accepted for publication in Ap
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