9,063 research outputs found
The Stokes boundary layer for a thixotropic or antithixotropic fluid
We present a mathematical investigation of the oscillatory boundary layer (âStokes layerâ) in a semi-infinite fluid bounded by an oscillating wall (the socalled âStokes problemâ), when the fluid has a thixotropic or antithixotropic rheology. We obtain asymptotic solutions in the limit of small-amplitude oscillations, and we use numerical integration to validate the asymptotic solutions and to explore the behaviour of the system for larger-amplitude oscillations. The solutions that we obtain differ significantly from the classical solution for a Newtonian fluid. In particular, for antithixotropic fluids the velocity reaches zero at a finite distance from the wall, in contrast to the exponential decay for a thixotropic or a Newtonian fluid. For small amplitudes of oscillation, three regimes of behaviour are possible: the structure parameter may take values defined instantaneously by the shear rate, or by a long-term average; or it may behave hysteretically. The regime boundaries depend on the precise specification of structure build-up and breakdown rates in the rheological model, illustrating the subtleties of complex fluid models in non-rheometric settings. For larger amplitudes of oscillation the dominant behaviour is hysteretic. We discuss in particular the relationship between the shear stress and the shear rate at the oscillating wall
Precis of epistemic angst:Book Symposium: Duncan Pritchard, Epistemic Angst (Princeton University Press, 2015, xiii + 236 pages)
ABSTRACT This book symposium features three critical pieces dealing with Duncan Pritchard's book, 'Epistemic Angst'; the symposium also contains Pritchard's replies to his critics
Assessing the Performance of the Haplotype Block Model of Linkage Disequilibrium
Several recent studies have suggested that linkage disequilibrium (LD) in the human genome has a fundamentally âblocklikeâ structure. However, thus far there has been little formal assessment of how well the haplotype block model captures the underlying structure of LD. Here we propose quantitative criteria for assessing how blocklike LD is and apply these criteria to both real and simulated data. Analyses of several large data sets indicate that real data show a partial fit to the haplotype block model; some regions conform quite well, whereas others do not. Some improvement could be obtained by genotyping higher marker densities but not by increasing the number of samples. Nonetheless, although the real data are only moderately blocklike, our simulations indicate that, under a model of uniform recombination, the structure of LD would actually fit the block model much less well. Simulations of a model in which much of the recombination occurs in narrow hotspots provide a much better fit to the observed patterns of LD, suggesting that there is extensive fine-scale variation in recombination rates across the human genome
Safety, the Preface Paradox and Possible Worlds Semantics
This paper contains an argument to the effect that possible worlds semantics renders
semantic knowledge impossible, no matter what ontological interpretation is given
to possible worlds. The essential contention made is that possible worlds semantic
knowledge is unsafe and this is shown by a parallel with the preface paradox
Benchmarking the algorithmic performance of near-term neutral atom processors
Neutral atom quantum processors provide a viable route to scalable quantum
computing, with recent demonstrations of high-fidelity and parallel gate
operations and initial implementation of quantum algorithms using both physical
and logical qubit encodings. In this work we present a characterization of the
algorithmic performance of near term Rydberg atom quantum computers through
device simulation to enable comparison against competing architectures. We
consider three different quantum algorithm related tests, exploiting the
ability to dynamically update qubit connectivity and multi-qubit gates. We
calculate a quantum volume of for 9 qubit
devices with realistic parameters, which is the maximum achievable value for
this device size and establishes a lower bound for larger systems. We also
simulate highly efficient implementations of both the Bernstein-Vazirani
algorithm with >0.95 success probability for 9 data qubits and 1 ancilla qubit
without loss correction, and Grover's search algorithm with a loss-corrected
success probability of 0.97 for an implementation of the algorithm using 6 data
qubits and 3 ancilla qubits using native multi-qubit gates. Our
results indicate Rydberg atom processors are a highly competitive near-term
platform which, bolstered by the potential for further scalability, can pave
the way toward useful quantum computation.Comment: 14 pages, 7 figure
Contrast Interferometry Using Bose-Einstein Condensates to Measure h/m and the Fine Structure Constant
The kinetic energy of an atom recoiling due to absorption of a photon was
measured as a frequency using an interferometric technique called ``contrast
interferometry''. Optical standing wave pulses were used as atom-optical
elements to create a symmetric three-path interferometer with a Bose-Einstein
condensate. The recoil phase accumulated in different paths was measured using
a single-shot detection technique. The scheme allows for additional photon
recoils within the interferometer and its symmetry suppresses several random
and systematic errors including those from vibrations and ac Stark shifts. We
have measured the photon recoil frequency of sodium to ppm precision, using
a simple realization of this scheme. Plausible extensions should yield a
sufficient precision to bring within reach a ppb-level determination of
and the fine structure constant
Demonstration of a Quantum Gate using Electromagnetically Induced Transparency
We demonstrate a native gate between two individually
addressed neutral atoms based on electromagnetically induced transparency
(EIT). This protocol utilizes the strong long-range interactions of Rydberg
states to enable conditional state transfer on the target qubit when operated
in the blockade regime. An advantage of this scheme is it enables
implementation of multi-qubit CNOT gates using a pulse sequence independent
of qubit number, and provides an simple gate for efficient implementation of
quantum algorithms and error correction. We achieve a loss corrected gate
fidelity of , and prepare an
entangled Bell-state with ,
limited at present by laser power. We present a number of technical
improvements to advance this to a level required for fault-tolerant scaling.Comment: 6 pages, 5 figures plus Supplementary Materia
Museum DNA reveals the demographic history of the endangered Seychelles warbler
The importance of evolutionary conservation â how understanding evolutionary forces can help guide conservation decisions â is widely recognized. However, the historical demography of many endangered species is unknown, despite the fact that this can have important implications for contemporary ecological processes and for extinction risk. Here, we reconstruct the population history of the Seychelles warbler (Acrocephalus sechellensis) â an ecological model species. By the 1960s, this species was on the brink of extinction, but its previous history is unknown. We used DNA samples from contemporary and museum specimens spanning 140 years to reconstruct bottleneck history. We found a 25% reduction in genetic diversity between museum and contemporary populations, and strong genetic structure. Simulations indicate that the Seychelles warbler was bottlenecked from a large population, with an ancestral Ne of several thousands falling to <50 within the last century. Such a rapid decline, due to anthropogenic factors, has important implications for extinction risk in the Seychelles warbler, and our results will inform conservation practices. Reconstructing the population history of this species also allows us to better understand patterns of genetic diversity, inbreeding and promiscuity in the contemporary populations. Our approaches can be applied across species to test ecological hypotheses and inform conservation
The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects
The evaporation of sessile droplets is analysed when the influence of the thermal properties of the system is strong. We obtain asymptotic solutions for the evolution, and hence explicit expressions for the lifetimes, of droplets when the substrate has a high thermal resistance relative to the droplet and when the saturation concentration of the vapour depends strongly on temperature. In both situations we find that the lifetimes of the droplets are significantly extended relative to those when thermal effects are weak
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