5,470 research outputs found
Vortices in small superconducting disks
We study the Ginzburg-Landau equations in order to describe a two-dimensional
superconductor in a bounded domain. Using the properties of a particular
integrability point () of these nonlinear equations which
allows vortex solutions, we obtain a closed expression for the energy of the
superconductor. The presence of the boundary provides a selection mechanism for
the number of vortices.
A perturbation analysis around enables us to include the
effects of the vortex interactions and to describe quantitatively the
magnetization curves recently measured on small superconducting disks.
We also calculate the optimal vortex configuration and obtain an expression
for the confining potential away from the London limit.Comment: 4 pages, to be published in Physica C (Superconductivity
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Determination of HEat Capacity of Yucca Mountain Strtigraphic Layers
The heat generated from the radioactive waste to be placed in the proposed geologic repository at Yucca Mountain, Nevada, will affect the thermal-hydrology of the Yucca Mountain stratigraphic layers. In order to assess the effect of the movement of repository heat into the fractured rocks accurate determination of thermodynamic and hydraulic properties is important. Heat capacity is one of the properties that are required to evaluate energy storage in the fractured rock. Rock-grain heat capacity, the subject of this study, is the heat capacity of the solid part of the rock. Yucca Mountain consists of alternating lithostratigraphic units of welded and non-welded ash-flow tuff, mainly rhyolitic in composition and displaying varying degrees of vitrification and alteration. A number of methods exist that can be used to evaluate heat capacity of the stratigraphic layers that consist of different compositions. In this study, the mineral summation method has been used to quantify the heat capacity of the stratigraphic layers based on Kopp's rule. The mineral summation method is an addition of the weighted heat capacity of each mineral found in a specific layer. For this study the weighting was done based on the mass percentage of each mineral in the layer. The method utilized a mineralogic map of the rocks at the Yucca Mountain repository site. The Calico Hills formation and adjacent bedded tuff layers display a bimodal mineral distribution of vitric and zeolitic zones with differing mineralogies. Based on this bimodal distribution in zeolite abundance, the boundary between the vitric and zeolitic zones was selected to be 15% zeolitic abundance. Thus, based on the zeolite abundance, subdivisions have been introduced to these layers into ''vitric'' and ''zeolitic'' zones. Heat capacity values have been calculated for these layers both as ''layer average'' and ''zone average''. The heat capacity determination method presented in this report did not account for spatial variability in the horizontal direction within each layer
A High-Resolution Atlas of Uranium-Neon in the H Band
We present a high-resolution (R ~ 50 000) atlas of a uranium-neon (U/Ne)
hollow-cathode spectrum in the H-band (1454 nm to 1638 nm) for the calibration
of near-infrared spectrographs. We obtained this U/Ne spectrum simultaneously
with a laser-frequency comb spectrum, which we used to provide a first-order
calibration to the U/Ne spectrum. We then calibrated the U/Ne spectrum using
the recently-published uranium line list of Redman et al. (2011), which is
derived from high-resolution Fourier transform spectrometer measurements. These
two independent calibrations allowed us to easily identify emission lines in
the hollow cathode lamp that do not correspond to known (classified) lines of
either uranium or neon, and to compare the achievable precision of each source.
Our frequency comb precision was limited by modal noise and detector effects,
while the U/Ne precision was limited primarily by the signal-to-noise ratio
(S/N) of the observed emission lines and our ability to model blended lines.
The standard deviation in the dispersion solution residuals from the
S/N-limited U/Ne hollow cathode lamp were 50% larger than the standard
deviation of the dispersion solution residuals from the modal-noise-limited
laser frequency comb. We advocate the use of U/Ne lamps for precision
calibration of near-infrared spectrographs, and this H-band atlas makes these
lamps significantly easier to use for wavelength calibration.Comment: 23 pages, 7 figures, submitted and accepted in ApJSS. Online-only
material to be published online by ApJS
Conditions for the discovery of solution horizons
We present necessary and sufficient conditions for discrete infinite horizon optimization problems with unique solutions to be solvable. These problems can be equivalently viewed as the task of finding a shortest path in an infinite directed network. We provide general forward algorithms with stopping rules for their solution. The key condition required is that of weak reachability, which roughly requires that for any sequence of nodes or states, it must be possible from optimal states to reach states close in cost to states along this sequence. Moreover the costs to reach these states must converge to zero. Applications are considered in optimal search, undiscounted Markov decision processes, and deterministic infinite horizon optimization.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/47927/1/10107_2005_Article_BF01581244.pd
The Infrared Spectrum of Uranium Hollow Cathode Lamps from 850 nm to 4000 nm: Wavenumbers and Line Identifications from Fourier Transform Spectra
We provide new measurements of wavenumbers and line identifications of 10 100
UI and UII near-infrared (NIR) emission lines between 2500 cm-1 and 12 000 cm-1
(4000 nm to 850 nm) using archival FTS spectra from the National Solar
Observatory (NSO). This line list includes isolated uranium lines in the Y, J,
H, K, and L bands (0.9 {\mu}m to 1.1 {\mu}m, 1.2 {\mu}m to 1.35 {\mu}m, 1.5
{\mu}m to 1.65 {\mu}m, 2.0 {\mu}m to 2.4 {\mu}m, and 3.0 {\mu}m to 4.0 {\mu}m,
respectively), and provides six times as many calibration lines as thorium in
the NIR spectral range. The line lists we provide enable inexpensive,
commercially-available uranium hollow-cathode lamps to be used for
high-precision wavelength calibration of existing and future high-resolution
NIR spectrographs.Comment: 23 pages, 6 Figure
Inflation with a constant ratio of scalar and tensor perturbation amplitudes
The single scalar field inflationary models that lead to scalar and tensor
perturbation spectra with amplitudes varying in direct proportion to one
another are reconstructed by solving the Stewart-Lyth inverse problem to
next-to-leading order in the slow-roll approximation.
The potentials asymptote at high energies to an exponential form,
corresponding to power law inflation, but diverge from this model at low
energies, indicating that power law inflation is a repellor in this case. This
feature implies that a fine-tuning of initial conditions is required if such
models are to reproduce the observations. The required initial conditions might
be set through the eternal inflation mechanism.
If this is the case, it will imply that the spectral indices must be nearly
constant, making the underlying model observationally indistinguishable from
power law inflation.Comment: 20 pages, 7 figures. Major changes to the Introduction following
referee's comments. One figure added. Some other minor changes. No conclusion
was modifie
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