2,349 research outputs found
Displaced path integral formulation for the momentum distribution of quantum particles
The proton momentum distribution, accessible by deep inelastic neutron
scattering, is a very sensitive probe of the potential of mean force
experienced by the protons in hydrogen-bonded systems. In this work we
introduce a novel estimator for the end to end distribution of the Feynman
paths, i.e. the Fourier transform of the momentum distribution. In this
formulation, free particle and environmental contributions factorize. Moreover,
the environmental contribution has a natural analogy to a free energy surface
in statistical mechanics, facilitating the interpretation of experiments. The
new formulation is not only conceptually but also computationally advantageous.
We illustrate the method with applications to an empirical water model,
ab-initio ice, and one dimensional model systems
Hybrid Superconductor-Quantum Point Contact Devices using InSb Nanowires
Proposals for studying topological superconductivity and Majorana bound
states in nanowires proximity coupled to superconductors require that transport
in the nanowire is ballistic. Previous work on hybrid nanowire-superconductor
systems has shown evidence for Majorana bound states, but these experiments
were also marked by disorder, which disrupts ballistic transport. In this
letter, we demonstrate ballistic transport in InSb nanowires interfaced
directly with superconducting Al by observing quantized conductance at
zero-magnetic field. Additionally, we demonstrate that the nanowire is
proximity coupled to the superconducting contacts by observing Andreev
reflection. These results are important steps for robustly establishing
topological superconductivity in InSb nanowires
Space-efficient detection of unusual words
Detecting all the strings that occur in a text more frequently or less
frequently than expected according to an IID or a Markov model is a basic
problem in string mining, yet current algorithms are based on data structures
that are either space-inefficient or incur large slowdowns, and current
implementations cannot scale to genomes or metagenomes in practice. In this
paper we engineer an algorithm based on the suffix tree of a string to use just
a small data structure built on the Burrows-Wheeler transform, and a stack of
bits, where is the length of the string and
is the size of the alphabet. The size of the stack is except for very
large values of . We further improve the algorithm by removing its time
dependency on , by reporting only a subset of the maximal repeats and
of the minimal rare words of the string, and by detecting and scoring candidate
under-represented strings that in the string. Our
algorithms are practical and work directly on the BWT, thus they can be
immediately applied to a number of existing datasets that are available in this
form, returning this string mining problem to a manageable scale.Comment: arXiv admin note: text overlap with arXiv:1502.0637
The Individual and Collective Effects of Exact Exchange and Dispersion Interactions on the Ab Initio Structure of Liquid Water
In this work, we report the results of a series of density functional theory
(DFT) based ab initio molecular dynamics (AIMD) simulations of ambient liquid
water using a hierarchy of exchange-correlation (XC) functionals to investigate
the individual and collective effects of exact exchange (Exx), via the PBE0
hybrid functional, non-local vdW/dispersion interactions, via a fully
self-consistent density-dependent dispersion correction, and approximate
nuclear quantum effects (aNQE), via a 30 K increase in the simulation
temperature, on the microscopic structure of liquid water. Based on these AIMD
simulations, we found that the collective inclusion of Exx, vdW, and aNQE as
resulting from a large-scale AIMD simulation of (HO) at the
PBE0+vdW level of theory, significantly softens the structure of ambient liquid
water and yields an oxygen-oxygen structure factor, , and
corresponding oxygen-oxygen radial distribution function, , that
are now in quantitative agreement with the best available experimental data.
This level of agreement between simulation and experiment as demonstrated
herein originates from an increase in the relative population of water
molecules in the interstitial region between the first and second coordination
shells, a collective reorganization in the liquid phase which is facilitated by
a weakening of the hydrogen bond strength by the use of the PBE0 hybrid XC
functional, coupled with a relative stabilization of the resultant disordered
liquid water configurations by the inclusion of non-local vdW/dispersion
interactions
Nuclear quantum effects in water
In this work, a path integral Car-Parrinello molecular dynamics simulation of
liquid water is performed. It is found that the inclusion of nuclear quantum
effects systematically improves the agreement of first principles simulations
of liquid water with experiment. In addition, the proton momentum distribution
is computed utilizing a recently developed open path integral molecular
dynamics methodology. It is shown that these results are in good agreement with
neutron Compton scattering data for liquid water and ice.Comment: 4 page
X-ray absorption signatures of the molecular environment in water and ice
The x-ray absorption spectra of water and ice are calculated with a many-body
approach for electron-hole excitations. The experimental features, including
the small effects of temperature change in the liquid, are quantitatively
reproduced from molecular configurations generated by ab-initio molecular
dynamics. The spectral difference between the solid and the liquid is due to
two major short range order effects. One, due to breaking of hydrogen bonds,
enhances the pre-edge intensity in the liquid. The other, due to a non-bonded
molecular fraction in the first coordination shell, affects the main spectral
edge in the conversion of ice to water. This effect may not involve hydrogen
bond breaking as shown by experiment in high-density amorphous ice.Comment: 5 pages, 3 figure
Counting reducible, powerful, and relatively irreducible multivariate polynomials over finite fields
We present counting methods for some special classes of multivariate
polynomials over a finite field, namely the reducible ones, the s-powerful ones
(divisible by the s-th power of a nonconstant polynomial), and the relatively
irreducible ones (irreducible but reducible over an extension field). One
approach employs generating functions, another one uses a combinatorial method.
They yield exact formulas and approximations with relative errors that
essentially decrease exponentially in the input size.Comment: to appear in SIAM Journal on Discrete Mathematic
Examining cost measurements in production and delivery of three case studies using eLearning for Applied Health Sciences: a cross-case synthesis
The World Health Organization World Health Report conveys that a significant increase is needed in global healthcare resourcing to meet current and future demand for health professionals. eLearning presents a possible opportunity to change and optimize training by providing a scalable means for instruction, thus reducing the costs for training health professionals and providing patient education. Research literature often suggests that a benefit of eLearning is its cost-effectiveness compared with face-to-face instruction, yet there is limited evidence comparing design and production costs with other forms of instruction, or the establishment of standards for budgeting for these costs
Ab initio Molecular Dynamics in Adaptive Coordinates
We present a new formulation of ab initio molecular dynamics which exploits
the efficiency of plane waves in adaptive curvilinear coordinates, and thus
provides an accurate treatment of first-row elements. The method is used to
perform a molecular dynamics simulation of the CO_2 molecule, and allows to
reproduce detailed features of its vibrational spectrum such as the splitting
of the Raman sigma+_g mode caused by Fermi resonance. This new approach opens
the way to highly accurate ab initio simulations of organic compounds.Comment: 11 pages, 3 PostScript figure
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