31,723 research outputs found
Pressure-Induced Interlinking of Carbon Nanotubes
We predict new forms of carbon consisting of one and two dimensional networks
of interlinked single wall carbon nanotubes, some of which are energetically
more stable than van der Waals packing of the nanotubes on a hexagonal lattice.
These interlinked nanotubes are further transformed with higher applied
external pressures to more dense and complicated stable structures, in which
curvature-induced carbon sp re-hybridizations are formed. We also discuss
the energetics of the bond formation between nanotubes and the electronic
properties of these predicted novel structures.Comment: 4 pages, 4 postscript figures; To be appear in PR
Coverage and Connectivity in Three-Dimensional Networks
Most wireless terrestrial networks are designed based on the assumption that
the nodes are deployed on a two-dimensional (2D) plane. However, this 2D
assumption is not valid in underwater, atmospheric, or space communications. In
fact, recent interest in underwater acoustic ad hoc and sensor networks hints
at the need to understand how to design networks in 3D. Unfortunately, the
design of 3D networks is surprisingly more difficult than the design of 2D
networks. For example, proofs of Kelvin's conjecture and Kepler's conjecture
required centuries of research to achieve breakthroughs, whereas their 2D
counterparts are trivial to solve. In this paper, we consider the coverage and
connectivity issues of 3D networks, where the goal is to find a node placement
strategy with 100% sensing coverage of a 3D space, while minimizing the number
of nodes required for surveillance. Our results indicate that the use of the
Voronoi tessellation of 3D space to create truncated octahedral cells results
in the best strategy. In this truncated octahedron placement strategy, the
transmission range must be at least 1.7889 times the sensing range in order to
maintain connectivity among nodes. If the transmission range is between 1.4142
and 1.7889 times the sensing range, then a hexagonal prism placement strategy
or a rhombic dodecahedron placement strategy should be used. Although the
required number of nodes in the hexagonal prism and the rhombic dodecahedron
placement strategies is the same, this number is 43.25% higher than the number
of nodes required by the truncated octahedron placement strategy. We verify by
simulation that our placement strategies indeed guarantee ubiquitous coverage.
We believe that our approach and our results presented in this paper could be
used for extending the processes of 2D network design to 3D networks.Comment: To appear in ACM Mobicom 200
Reentry produced by small-scale heterogeneities in a discrete model of cardiac tissue
Reentries are reexcitations of cardiac tissue after the passing of an excitation wave which can cause
dangerous arrhythmias like tachycardia or life-threatening heart failures like fibrillation. The heart is formed by a
network of cells connected by gap junctions. Under ischemic conditions some of the cells lose their connections,
because gap junctions are blocked and the excitability is decreased. We model a circular region of the tissue where
a fraction of connections among individual cells are removed and substituted by non-conducting material in a twodimensional
(2D) discrete model of a heterogeneous excitable medium with local kinetics based on electrophysiology.
Thus, two neighbouring cells are connected (disconnected) with a probability f (1 - f). Such a region is assumed to be
surrounded by homogeneous tissue. The circular heterogeneous area is shown to act as a source of new waves which
reenter into the tissue and reexcitate the whole domain. We employ the Fenton-Karma equations to model the action potential for the local kinetics of the discrete nodes to study the statistics of the reentries in two dimensional networks
with different topologies. We conclude that the probability of reentry is determined by the proximity of the fraction of
disrupted connections between neighboring nodes (Peer ReviewedPostprint (published version
Generic model for tunable colloidal aggregation in multidirectional fields
Based on Brownian Dynamics computer simulations in two dimensions we
investigate aggregation scenarios of colloidal particles with directional
interactions induced by multiple external fields. To this end we propose a
model which allows continuous change in the particle interactions from
point-dipole-like to patchy-like (with four patches). We show that, as a result
of this change, the non-equilibrium aggregation occurring at low densities and
temperatures transforms from conventional diffusion-limited cluster aggregation
(DLCA) to slippery DLCA involving rotating bonds; this is accompanied by a
pronounced change of the underlying lattice structure of the aggregates from
square-like to hexagonal ordering. Increasing the temperature we find a
transformation to a fluid phase, consistent with results of a simple mean-field
density functional theory
Combining Topological Hardware and Topological Software: Color Code Quantum Computing with Topological Superconductor Networks
We present a scalable architecture for fault-tolerant topological quantum
computation using networks of voltage-controlled Majorana Cooper pair boxes,
and topological color codes for error correction. Color codes have a set of
transversal gates which coincides with the set of topologically protected gates
in Majorana-based systems, namely the Clifford gates. In this way, we establish
color codes as providing a natural setting in which advantages offered by
topological hardware can be combined with those arising from topological
error-correcting software for full-fledged fault-tolerant quantum computing. We
provide a complete description of our architecture including the underlying
physical ingredients. We start by showing that in topological superconductor
networks, hexagonal cells can be employed to serve as physical qubits for
universal quantum computation, and present protocols for realizing
topologically protected Clifford gates. These hexagonal cell qubits allow for a
direct implementation of open-boundary color codes with ancilla-free syndrome
readout and logical -gates via magic state distillation. For concreteness,
we describe how the necessary operations can be implemented using networks of
Majorana Cooper pair boxes, and give a feasibility estimate for error
correction in this architecture. Our approach is motivated by nanowire-based
networks of topological superconductors, but could also be realized in
alternative settings such as quantum Hall-superconductor hybrids.Comment: 24 pages, 24 figure
Applying machine learning methods for characterization of hexagonal prisms from their 2D scattering patterns – an investigation using modelled scattering data
This document is the Accepted Manuscript version of the following article: Emmanuel Oluwatobi Salawu, Evelyn Hesse, Chris Stopford, Neil Davey, and Yi Sun, 'Applying machine learning methods for characterization of hexagonal prisms from their 2D scattering patterns – an investigation using modelled scattering data', Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 201, pp. 115-127, first published online 5 July 2017. Under embargo. Embargo end date: 5 July 2019. The Version of Record is available online at doi: https://doi.org/10.1016/j.jqsrt.2017.07.001. © 2017 Elsevier Ltd. All rights reserved.Better understanding and characterization of cloud particles, whose properties and distributions affect climate and weather, are essential for the understanding of present climate and climate change. Since imaging cloud probes have limitations of optical resolution, especially for small particles (with diameter < 25 μm), instruments like the Small Ice Detector (SID) probes, which capture high-resolution spatial light scattering patterns from individual particles down to 1 μm in size, have been developed. In this work, we have proposed a method using Machine Learning techniques to estimate simulated particles’ orientation-averaged projected sizes (PAD) and aspect ratio from their 2D scattering patterns. The two-dimensional light scattering patterns (2DLSP) of hexagonal prisms are computed using the Ray Tracing with Diffraction on Facets (RTDF) model. The 2DLSP cover the same angular range as the SID probes. We generated 2DLSP for 162 hexagonal prisms at 133 orientations for each. In a first step, the 2DLSP were transformed into rotation-invariant Zernike moments (ZMs), which are particularly suitable for analyses of pattern symmetry. Then we used ZMs, summed intensities, and root mean square contrast as inputs to the advanced Machine Learning methods. We created one random forests classifier for predicting prism orientation, 133 orientation-specific (OS) support vector classification models for predicting the prism aspect-ratios, 133 OS support vector regression models for estimating prism sizes, and another 133 OS Support Vector Regression (SVR) models for estimating the size PADs. We have achieved a high accuracy of 0.99 in predicting prism aspect ratios, and a low value of normalized mean square error of 0.004 for estimating the particle’s size and size PADs.Peer reviewe
Molecular crystal global phase diagrams. II. Reference lattices
In the first part of this series [Keith et al. (2004). Cryst. Growth Des. 4, 1009-1012; Mettes et al. (2004). Acta Cryst. A60, 621-636], a method was developed for constructing global phase diagrams (GPDs) for molecular crystals in which crystal structure is presented as a function of intermolecular potential parameters. In that work, a face-centered-cubic center-of-mass lattice was arbitrarily adopted as a reference state. In part two of the series, experimental crystal structures composed of tetrahedral point group molecules are classified to determine what fraction of structures are amenable to inclusion in the GPDs and the number of reference lattices necessary to span the observed structures. It is found that 60% of crystal structures composed of molecules with T_d point-group symmetry are amenable and that eight reference lattices are sufficient to span the observed structures. Similar results are expected for other cubic point groups
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