810 research outputs found
Quantum moment maps and invariants for G-invariant star products
We study a quantum moment map and propose an invariant for -invariant star
products on a -transitive symplectic manifold. We start by describing a new
method to construct a quantum moment map for -invariant star products of
Fedosov type. We use it to obtain an invariant that is invariant under
-equivalence. In the last section we give two simple examples of such
invariants, which involve non-classical terms and provide new insights into the
classification of -invariant star products.Comment: 20 page
On subshift presentations
We consider partitioned graphs, by which we mean finite strongly connected
directed graphs with a partitioned edge set . With additionally given a relation between
the edges in and the edges in , and denoting
the vertex set of the graph by , we speak of an an -graph . From -graphs we construct semigroups (with zero) that we call
-graph semigroups. We describe a method of presenting subshifts
by means of suitably structured labelled directed graphs with vertex set , edge set , and a label
map that asigns to the edges in labels in an -graph
semigroup . We call the presented subshift an -presentation.
We introduce a Property and a Property (c), tof subshifts, and we
introduce a notion of strong instantaneity. Under an assumption on the
structure of the -graphs we show for strongly instantaneous
subshifts with Property and associated semigroup , that Properties and (c) are
necessary and sufficient for the existence of an -presentation, to which the
subshift is topologically conjugate,Comment: 33 page
On Certain Subshifts and their Associated Monoids
Within a subclass of monoids (with zero) a structural characterization is
given of those that are associated to topologically transitive subshifts with
Property (A).Comment: 11 page
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Control Over Cadmium Chalcogenide Nanocrystal Heterostructures via Precursor Conversion Kinetics
Semiconductor nanocrystals have immense potential to make an impact in consumer products due to their narrow, tunable emission linewidths. One factor limiting their use is the ease and reproducibility of core/shell nanocrystal syntheses. This thesis aims to address this issue by providing chemical control over the formation of core/shell nanostructures by replacing engineering controls with kinetic controls.
Chapter 1 contextualizes our study on nanoparticle synthesis with a brief discussion on the physics of quantum confinement and the importance of narrow size dispersities, core/shell band alignments, and low lattice mismatches and strain at core/shell nanocrystal interfaces. Next, the evolution of cadmium chalcogenide nanocrystal reagents is described, ranging from the original organometallic reagents used in the 1980s to modern approaches involving cadmium phosphonates and carboxylates. This is followed by a description of chalcogen precursors, highlighting the recent introduction of molecules whose well-controlled and tunable reaction rates allow for the size tuning of nanocrystals at 100% yield, and accompanying theories on nanocrystal nucleation.
Chapter 2 covers work to expand the library of available sulfur precursors to a wider range of molecules relevant for the synthesis of cadmium sulfide nanocrystals. Using thioureas alone, only very fast or very slow precursor conversion rates can be accessed. This limits the accessible sizes of cadmium sulfide nanocrystals using a single hot injection of precursor at standardized reaction conditions. We observe that thiocarbonate and thiocarbamate precursors with varying electronic substituents allow access to intermediate precursor conversion rates and cadmium sulfide nanocrystal sizes. Interestingly, we note that these new precursor classes nucleate particles with higher monodispersity than ones synthesized from thioureas. These results indicate that in addition to precursor structure controlling precursor conversion rate, precursor structure additionally impacts nanocrystal monodispersity.
Chapter 3 expands the library of sulfur and selenium precursors to include cyclic thiones and selenones which extends chemical control of precursor conversion kinetics to cover five orders of magnitude. This unprecedented breadth of rate control allows for the simultaneous hot injection of multiple precursors to generate core/shell or alloyed nanoparticles using precursor reactivity. Using this new synthetic strategy, we observe that kinetic control runs into several issues which we partially attribute to differences in cadmium sulfide and cadmium selenide critical concentrations and growth rates. Nevertheless, combined with a syringe pump shelling method, we are able to access core/shell and alloyed nanocrystals with photoluminescence quantum yields of 67-81%.
Chapter 4 applies the concept of nanostructure control via precursor conversion kinetics to a better model system: two-dimensional nanoplatelets. Cadmium chalcogenide nanoplatelets are highly desirable materials due to their exceptionally narrow emission full width half max (FWHM) values which make them pure emitters relative to quantum dots or organic dyes. We synthesize 3 monolayer thick nanoplatelets whose lateral dimensions vary from 10 nm x 10 nm to 186 x 100 nm and demonstrate compositional control on the smallest platelet sizes with STEM EELS
Exploratory analysis of high-resolution power interruption data reveals spatial and temporal heterogeneity in electric grid reliability
Modern grid monitoring equipment enables utilities to collect detailed
records of power interruptions. These data are aggregated to compute publicly
reported metrics describing high-level characteristics of grid performance. The
current work explores the depth of insights that can be gained from public
data, and the implications of losing visibility into heterogeneity in grid
performance through aggregation. We present an exploratory analysis examining
three years of high-resolution power interruption data collected by archiving
information posted in real-time on the public-facing website of a utility in
the Western United States. We report on the size, frequency and duration of
individual power interruptions, and on spatio-temporal variability in aggregate
reliability metrics. Our results show that metrics of grid performance can vary
spatially and temporally by orders of magnitude, revealing heterogeneity that
is not evidenced in publicly reported metrics. We show that limited access to
granular information presents a substantive barrier to conducting detailed
policy analysis, and discuss how more widespread data access could help to
answer questions that remain unanswered in the literature to date. Given open
questions about whether grid performance is adequate to support societal needs,
we recommend establishing pathways to make high-resolution power interruption
data available to support policy research.Comment: Journal submission (in review), 22 pages, 8 figures, 1 tabl
Waist circumference and insulin resistance: a cross-sectional study of Japanese men
<p>Abstract</p> <p>Background</p> <p>Visceral obesity is positively related to insulin resistance. The nature of the relationship between waist circumference and insulin resistance has not been known in Japanese populations. This study examined the relationship between waist circumference and insulin resistance and evaluated the optimal cutoff point for waist circumference in relation to insulin resistance in middle-aged Japanese men.</p> <p>Methods</p> <p>Study subjects included 4800 Japanese men aged 39 to 60 years. Insulin resistance was evaluated by the homeostasis model assessment of insulin resistance (HOMA-IR). The relationship of waist circumference with HOMA-IR was assessed by use of adjusted means of HOMA-IR and odds ratios of elevated HOMA-IR defined as the highest quintile (≥2.00). Receiver operating characteristics (ROC) curve analysis using Youden index and the area under curve (AUC) was employed to determine optimal cutoffs of waist circumference in relation to HOMA-IR.</p> <p>Results</p> <p>Adjusted geometric means of HOMA-IR and prevalence odds of elevated HOMA-IR were progressively higher with increasing levels of waist circumference. In the ROC curve analysis, the highest value of Youden index was obtained for a cutoff point of 85 cm in waist circumference across different values of HOMA-IR. Multiple logistic regression analysis also indicated that the AUC was consistently the largest for a waist circumference of 85 cm.</p> <p>Conclusion</p> <p>Waist circumference is linearly related to insulin resistance, and 85 cm in waist circumference is an optimal cutoff in predicting insulin resistance in middle-aged Japanese men.</p
Observations of Spontaneous Raman Scattering in Silicon Slow-light Photonic Crystal Waveguides
We report the observations of spontaneous Raman scattering in silicon
photonic crystal waveguides. Continuous-wave measurements of Stokes emission
for both wavelength and power dependence is reported in single line-defect
waveguides in hexagonal lattice photonic crystal silicon membranes. By
utilizing the Bragg gap edge dispersion of the TM-like mode for pump
enhancement and the TE-like fundamental mode-onset for Stokes enhancement, the
Stokes emission was observed to increase by up to five times in the region of
slow group velocity. The results show explicit nonlinear enhancement in a
silicon photonic crystal slow-light waveguide device.Comment: 12 pages, 4 figure
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