303 research outputs found
Theory for the coalescence of viscous lenses
Drop coalescence occurs through the rapid growth of a liquid bridge that
connects the two drops. At early times after contact, the bridge dynamics is
typically self-similar, with details depending on the geometry and viscosity of
the liquid. In this paper we analyse the coalescence of two-dimensional viscous
drops that float on a quiescent deep pool; such drops are called liquid lenses.
The analysis is based on the thin-sheet equations, which were recently shown to
accurately capture experiments of liquid lens coalescence. It is found that the
bridge dynamics follows a self-similar solution at leading order, but,
depending on the large-scale boundary conditions on the drop, significant
corrections may arise to this solution. This dynamics is studied in detail
using numerical simulations and through matched asymptotics. We show that the
liquid lens coalescence can involve a global translation of the drops, a
feature that is confirmed experimentally
Self-Similar Liquid Lens Coalescence
A basic feature of liquid drops is that they can merge upon contact to form a
larger drop. In spite of its importance to various applications, drop
coalescence on pre-wetted substrates has received little attention. Here, we
experimentally and theoretically reveal the dynamics of drop coalescence on a
thick layer of a low-viscosity liquid. It is shown that these so-called "liquid
lenses" merge by the self-similar vertical growth of a bridge connecting the
two lenses. Using a slender analysis, we derive similarity solutions
corresponding to the viscous and inertial limits. Excellent agreement is found
with the experiments without any adjustable parameters, capturing both the
spatial and temporal structure of the flow during coalescence. Finally, we
consider the crossover between the two regimes and show that all data of
different lens viscosities collapse on a single curve capturing the full range
of the coalescence dynamics
The Newsvendor problem: analysis of the cost structure under normally distributed demand
We briefly review selected mathematical models that describe the dynamics of
pattern formation phenomena in dip-coating and Langmuir-Blodgett transfer
experiments, where solutions or suspensions are transferred onto a substrate
producing patterned deposit layers with structure length from hundreds of
nanometres to tens of micrometres. The models are presented with a focus on
their gradient dynamics formulations that clearly shows how the dynamics is
governed by particular free energy functionals and facilitates the comparison
of the models. In particular, we include a discussion of models based on
long-wave hydrodynamics as well as of more phenomenological models that focus
on the pattern formation processes in such systems. The models and their
relations are elucidated and examples of resulting patterns are discussed
before we conclude with a discussion of implications of the gradient dynamics
formulation and of some related open issues
COSMOGRAIL: the COSmological MOnitoring of GRAvItational Lenses XIII: Time delays and 9-yr optical monitoring of the lensed quasar RX J1131-1231
We present the results from nine years of optically monitoring the
gravitationally lensed z=0.658 quasar RX J1131-1231. The R-band light curves of
the four individual images of the quasar were obtained using deconvolution
photometry for a total of 707 epochs. Several sharp quasar variability features
strongly constrain the time delays between the quasar images. Using three
different numerical techniques, we measure these delays for all possible pairs
of quasar images while always processing the four light curves simultaneously.
For all three methods, the delays between the three close images A, B, and C
are compatible with being 0, while we measure the delay of image D to be 91
days, with a fractional uncertainty of 1.5% (1 sigma), including systematic
errors. Our analysis of random and systematic errors accounts in a realistic
way for the observed quasar variability, fluctuating microlensing magnification
over a broad range of temporal scales, noise properties, and seasonal gaps.
Finally, we find that our time-delay measurement methods yield compatible
results when applied to subsets of the data.Comment: 11 pages, 9 figures, minor additions to the text only, techniques and
results remain unchanged, A&A in pres
Production of 232 Pa from thorium
A procedure is described for the accelerator production of 232 Pa and its isolation in radiochemically pure form, suitable for isotope tracing of protactinium/thorium chemical separations.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/43132/1/10967_2005_Article_BF02167207.pd
COSMOGRAIL XVIII: time delays of the quadruply lensed quasar WFI2033-4723
We present new measurements of the time delays of WFI2033-4723. The data sets
used in this work include 14 years of data taken at the 1.2m Leonhard Euler
Swiss telescope, 13 years of data from the SMARTS 1.3m telescope at Las
Campanas Observatory and a single year of high-cadence and high-precision
monitoring at the MPIA 2.2m telescope. The time delays measured from these
different data sets, all taken in the R-band, are in good agreement with each
other and with previous measurements from the literature. Combining all the
time-delay estimates from our data sets results in Dt_AB = 36.2-0.8+0.7 days
(2.1% precision), Dt_AC = -23.3-1.4+1.2 days (5.6%) and Dt_BC = -59.4-1.3+1.3
days (2.2%). In addition, the close image pair A1-A2 of the lensed quasars can
be resolved in the MPIA 2.2m data. We measure a time delay consistent with zero
in this pair of images. We also explore the prior distributions of microlensing
time-delay potentially affecting the cosmological time-delay measurements of
WFI2033-4723. There is however no strong indication in our measurements that
microlensing time delay is neither present nor absent. This work is part of a
H0LiCOW series focusing on measuring the Hubble constant from WFI2033-4723.Comment: Submitted to Astronomy and Astrophysic
Dark energy with gravitational lens time delays
Strong lensing gravitational time delays are a powerful and cost effective
probe of dark energy. Recent studies have shown that a single lens can provide
a distance measurement with 6-7 % accuracy (including random and systematic
uncertainties), provided sufficient data are available to determine the time
delay and reconstruct the gravitational potential of the deflector.
Gravitational-time delays are a low redshift (z~0-2) probe and thus allow one
to break degeneracies in the interpretation of data from higher-redshift probes
like the cosmic microwave background in terms of the dark energy equation of
state. Current studies are limited by the size of the sample of known lensed
quasars, but this situation is about to change. Even in this decade, wide field
imaging surveys are likely to discover thousands of lensed quasars, enabling
the targeted study of ~100 of these systems and resulting in substantial gains
in the dark energy figure of merit. In the next decade, a further order of
magnitude improvement will be possible with the 10000 systems expected to be
detected and measured with LSST and Euclid. To fully exploit these gains, we
identify three priorities. First, support for the development of software
required for the analysis of the data. Second, in this decade, small robotic
telescopes (1-4m in diameter) dedicated to monitoring of lensed quasars will
transform the field by delivering accurate time delays for ~100 systems. Third,
in the 2020's, LSST will deliver 1000's of time delays; the bottleneck will
instead be the aquisition and analysis of high resolution imaging follow-up.
Thus, the top priority for the next decade is to support fast high resolution
imaging capabilities, such as those enabled by the James Webb Space Telescope
and next generation adaptive optics systems on large ground based telescopes.Comment: White paper submitted to SNOWMASS201
COSMOGRAIL XVI: Time delays for the quadruply imaged quasar DES J0408-5354 with high-cadence photometric monitoring
We present time-delay measurements for the new quadruply imaged quasar DES
J0408-5354, the first quadruply imaged quasar found in the Dark Energy Survey
(DES). Our result is made possible by implementing a new observational strategy
using almost daily observations with the MPIA 2.2m telescope at La Silla
observatory and deep exposures reaching a signal-to-noise ratio of about 1000
per quasar image. This data quality allows us to catch small photometric
variations (a few mmag rms) of the quasar, acting on temporal scales much
shorter than microlensing, hence making the time delay measurement very robust
against microlensing. In only 7 months we measure very accurately one of the
time delays in DES J0408-5354: Dt(AB) = -112.1 +- 2.1 days (1.8%) using only
the MPIA 2.2m data. In combination with data taken with the 1.2m Euler Swiss
telescope, we also measure two delays involving the D component of the system
Dt(AD) = -155.5 +- 12.8 days (8.2%) and Dt(BD) = -42.4 +- 17.6 days (41%),
where all the error bars include systematics. Turning these time delays into
cosmological constraints will require deep HST imaging or ground-based Adaptive
Optics (AO), and information on the velocity field of the lensing galaxy.Comment: 9 pages, 5 figures, accepted for publication in Astronomy &
Astrophysic
Euclid Collaboration IV: Impact of Undetected Galaxies on Weak-Lensing Shear Measurements
In modern weak-lensing surveys, the common approach to correct for residual
systematic biases in the shear is to calibrate shape measurement algorithms
using simulations. These simulations must fully capture the complexity of the
observations to avoid introducing any additional bias. In this paper we study
the importance of faint galaxies below the observational detection limit of a
survey. We simulate simplified Euclid VIS images including and excluding this
faint population, and measure the shift in the multiplicative shear bias
between the two sets of simulations. We measure the shear with three different
algorithms: a moment-based approach, model fitting, and machine learning. We
find that for all methods, a spatially uniform random distribution of faint
galaxies introduces a shear multiplicative bias of the order of a few times
. This value increases to the order of when including the
clustering of the faint galaxies, as measured in the Hubble Space Telescope
Ultra-Deep Field. The magnification of the faint background galaxies due to the
brighter galaxies along the line of sight is found to have a negligible impact
on the multiplicative bias. We conclude that the undetected galaxies must be
included in the calibration simulations with proper clustering properties down
to magnitude 28 in order to reach a residual uncertainty on the multiplicative
shear bias calibration of a few times , in line with the
total accuracy budget required by the scientific objectives of
the Euclid survey. We propose two complementary methods for including faint
galaxy clustering in the calibration simulations.Comment: Version published in A&
Cosmological distance indicators
We review three distance measurement techniques beyond the local universe:
(1) gravitational lens time delays, (2) baryon acoustic oscillation (BAO), and
(3) HI intensity mapping. We describe the principles and theory behind each
method, the ingredients needed for measuring such distances, the current
observational results, and future prospects. Time delays from strongly lensed
quasars currently provide constraints on with < 4% uncertainty, and with
1% within reach from ongoing surveys and efforts. Recent exciting discoveries
of strongly lensed supernovae hold great promise for time-delay cosmography.
BAO features have been detected in redshift surveys up to z <~ 0.8 with
galaxies and z ~ 2 with Ly- forest, providing precise distance
measurements and with < 2% uncertainty in flat CDM. Future BAO
surveys will probe the distance scale with percent-level precision. HI
intensity mapping has great potential to map BAO distances at z ~ 0.8 and
beyond with precisions of a few percent. The next years ahead will be exciting
as various cosmological probes reach 1% uncertainty in determining , to
assess the current tension in measurements that could indicate new
physics.Comment: Review article accepted for publication in Space Science Reviews
(Springer), 45 pages, 10 figures. Chapter of a special collection resulting
from the May 2016 ISSI-BJ workshop on Astronomical Distance Determination in
the Space Ag
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