17,586 research outputs found
Statistical constraints on the IR galaxy number counts and cosmic IR background from the Spitzer GOODS survey
We perform fluctuation analyses on the data from the Spitzer GOODS survey
(epoch one) in the Hubble Deep Field North (HDF-N). We fit a parameterised
power-law number count model of the form dN/dS = N_o S^{-\delta} to data from
each of the four Spitzer IRAC bands, using Markov Chain Monte Carlo (MCMC)
sampling to explore the posterior probability distribution in each case. We
obtain best-fit reduced chi-squared values of (3.43 0.86 1.14 1.13) in the four
IRAC bands. From this analysis we determine the likely differential faint
source counts down to , over two orders of magnitude in flux
fainter than has been previously determined.
From these constrained number count models, we estimate a lower bound on the
contribution to the Infra-Red (IR) background light arising from faint
galaxies. We estimate the total integrated background IR light in the Spitzer
GOODS HDF-N field due to faint sources. By adding the estimates of integrated
light given by Fazio et al (2004), we calculate the total integrated background
light in the four IRAC bands. We compare our 3.6 micron results with previous
background estimates in similar bands and conclude that, subject to our
assumptions about the noise characteristics, our analyses are able to account
for the vast majority of the 3.6 micron background. Our analyses are sensitive
to a number of potential systematic effects; we discuss our assumptions with
regards to noise characteristics, flux calibration and flat-fielding artifacts.Comment: 10 pages; 29 figures (Figure added); correction made to flux scale of
Fazio points in Figure
Lecture Hall Theorems, q-series and Truncated Objects
We show here that the refined theorems for both lecture hall partitions and
anti-lecture hall compositions can be obtained as straightforward consequences
of two q-Chu Vandermonde identities, once an appropriate recurrence is derived.
We use this approach to get new lecture hall-type theorems for truncated
objects. We compute their generating function and give two different
multivariate refinements of these new results : the q-calculus approach gives
(u,v,q)-refinements, while a completely different approach gives odd/even
(x,y)-refinements. From this, we are able to give a combinatorial
characterization of truncated lecture hall partitions and new finitizations of
refinements of Euler's theorem
The Relativity Concept Inventory: development, analysis and results
We report on a concept inventory for special relativity: the development
process, data analysis methods, and results from an introductory relativity
class. The Relativity Concept Inventory tests understanding of kinematic
relativistic concepts. An unusual feature is confidence testing for each
question. This can provide additional information; for example high confidence
correlated with incorrect answers suggests a misconception. A novel aspect of
our data analysis is the use of Monte Carlo simulations to determine the
significance of correlations. This approach is particularly useful for small
sample sizes, such as ours. Our results include a gender bias that was not
present in other assessment, similar to that reported for the Force Concept
Inventory
Pattern avoidance in compositions and multiset permutations
We study pattern avoidance by combinatorial objects other than permutations,
namely by ordered partitions of an integer and by permutations of a multiset.
In the former case we determine the generating function explicitly, for integer
compositions of n that avoid a given pattern of length 3 and we show that the
answer is the same for all such patterns. We also show that the number of
multiset permutations that avoid a given three-letter pattern is the same for
all such patterns, thereby extending and refining earlier results of Albert,
Aldred et al., and by Atkinson, Walker and Linton. Further, the number of
permutations of a multiset S, with a_i copies of i for i = 1, ..., k, that
avoid a given permutation pattern in S_3 is a symmetric function of the a_i's,
and we will give here a bijective proof of this fact first for the pattern
(123), and then for all patterns in S_3 by using a recently discovered
bijection of Amy N. Myers.Comment: 8 pages, no figur
Kinematic stability of roller pairs in free rolling contact
A set of generalized stability equations was developed for roller pairs in free rolling contact. A symmetric, dual contact model was used. Four possible external contact profiles that possess continuous contacting surfaces were studied. It was found that kinematic stability would be insured if the larger radius of transverse curvature, in absolute value, and the smaller rolling radius both exist on the roller that has the apex of its conical surface outboard of its main body. The stability criteria developed are considered to be useful for assessing axial restraint requirements for a variety of roller mechanisms and in the selection of roller contact geometry for traction drive devices
The fermion bag approach to lattice field theories
We propose a new approach to the fermion sign problem in systems where there
is a coupling such that when it is infinite the fermions are paired into
bosons and there is no fermion permutation sign to worry about. We argue that
as becomes finite fermions are liberated but are naturally confined to
regions which we refer to as {\em fermion bags}. The fermion sign problem is
then confined to these bags and may be solved using the determinantal trick. In
the parameter regime where the fermion bags are small and their typical size
does not grow with the system size, construction of Monte Carlo methods that
are far more efficient than conventional algorithms should be possible. In the
region where the fermion bags grow with system size, the fermion bag approach
continues to provide an alternative approach to the problem but may lose its
main advantage in terms of efficiency. The fermion bag approach also provides
new insights and solutions to sign problems. A natural solution to the "silver
blaze problem" also emerges. Using the three dimensional massless lattice
Thirring model as an example we introduce the fermion bag approach and
demonstrate some of these features. We compute the critical exponents at the
quantum phase transition and find and .Comment: 31 pages, 9 figures, 5 table
Seismic response to evolving injection at the Rotokawa geothermal field, New Zealand
Catalogs of microseismicity are routinely compiled at geothermal reservoirs and provide valuable insights into reservoir structure and fluid movement. Hypocentral locations are typically used to infer the orientations of structures and constrain the extent of the permeable reservoir. However, frequency-magnitude distributions may contain additional, and underused, information about the distribution of pressure. Here, we present a four-year catalog of seismicity for the Rotokawa geothermal field in the central Taupō Volcanic Zone, New Zealand starting two years after the commissioning of the 140 MWe Nga Awa Purua power station. Using waveform-correlation-based signal detection we double the size of the previous earthquake catalog, refine the location and orientation of two reservoir faults and identify a new structure. We find the rate of seismicity to be insensitive to major changes in injection strategy during the study period, including the injectivity decline and shift of injection away from the dominant injector, RK24. We also map the spatial distribution of the earthquake frequency-magnitude distribution, or b-value, and show that it increases from ∼1.0 to ∼1.5 with increasing depth below the reservoir. As has been proposed at other reservoirs, we infer that these spatial variations reflect the distribution of pressure in the reservoir, where areas of high b-value correspond to areas of high pore-fluid pressure and a broad distribution of activated fractures. This analysis is not routinely conducted by geothermal operators but shows promise for using earthquake b-value as an additional tool for reservoir monitoring and management
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