Open Access Repositories: Recent submissions
Now showing items 1141-1160 of 4204
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Stresslets Induced by Active Swimmers
(American Physical SocietyPhysical Review Letters, 2016-09-30)Active particles disturb the fluid around them as force dipoles, or stresslets, which govern their collective dynamics. Unlike swimming speeds, the stresslets of active particles are rarely determined due to the lack of a ...
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Learning parametrised regularisation functions via quotient minimisation
(WileyProceedings in Applied Mathematics and Mechanics, 2016-10-25)We propose a novel strategy for the computation of adaptive regularisation functions. The general strategy consists of minimising the ratio of a parametrised regularisation function; the numerator contains the regulariser ...
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Size segregation in a granular bore
(American Physical SocietyPhysical Review Fluids, 2016-10-06)We investigate the effect of particle-size segregation in an upslope propagating granular bore. A bidisperse mixture of particles, initially normally graded, flows down an inclined chute and impacts with a closed end. This ...
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Arbitrary axisymmetric steady streaming: Flow, force and propulsion
(SpringerJournal of Engineering Mathematics, 2016)A well-developed method to induce mixing on microscopic scales is to exploit flows generated by steady streaming. Steady streaming is a classical fluid dynamics phenomenon whereby a time-periodic forcing in the bulk or ...
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Bioinspired trailing-edge noise control
(American Institute of Aeronautics and AstronauticsAIAA Journal, 2017-01-01)Strategies for trailing edge noise control have been inspired by the downy canopy that covers the surface of exposed flight feathers of many owl species. Previous wind tunnel measurements demonstrate that canopies of similar ...
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Worldline CPT and massless supermultiplets
(World Scientific PublishingInternational Journal of Modern Physics A, 2016-09-30)The action for a massless particle in 4D Minkowski space–time has a worldline-time reversing symmetry corresponding to CPT invariance of the quantum theory. The analogous symmetry of the $\mathscr{N}$-extended superparticle ...
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Fluid dynamics at the scale of the cell
(Cambridge University PressJournal of Fluid Mechanics, 2016-10-17)The world of cellular biology provides us with many fascinating fluid dynamical phenomena that lie at the heart of physiology, development, evolution and ecology. Advances in imaging, micromanipulation and microfluidics ...
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Determining the optimal protocols for transfer of large data files
(University of Cape TownFaculty of ScienceDepartment of Computer Science, 2015)The transfer of large data files remains a necessity for scientific research, including Bioinformatics, despite alternate solutions like cloud computing. When transferring large files, there are many transfer protocols to ...
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An empirical evaluation of evolutionary controller design methods for collective gathering task
(University of Cape TownFaculty of ScienceDepartment of Computer Science, 2015)This research aims to evaluate the performance of evolutionary controller design methods for developing a collective behaviour for a team of robots. The methods tested in this research are NEAT which is capable of finding ...
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Non-axisymmetric instabilities in discs with imposed zonal flows
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-09-06)We conduct a linear stability calculation of an ideal Keplerian flow on which a sinusoidal zonal flow is imposed. The analysis uses the shearing sheet model and is carried out both in isothermal and adiabatic conditions, ...
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Acylindrical Hyperbolicity, non-simplicity and SQ-universality of groups splitting over $\mathbb{Z}$
(De GruyterJournal of Group Theory, 2016-09-15)We show, using acylindrical hyperbolicity, that a finitely generated group splitting over $\mathbb{Z}$ cannot be simple. We also obtain SQ-universality in most cases, for instance a balanced group (one where if two powers ...
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Uniform Bounds for Black--Scholes Implied Volatility
(Society for Industrial and Applied MathematicsSIAM Journal on Financial Mathematics, 2016-11-29)In this note, Black--Scholes implied volatility is expressed in terms of various optimization problems. From these representations, upper and lower bounds are derived which hold uniformly across moneyness and call price. ...
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Investigating prominence turbulence with Hinode SOT Dopplergrams
(EDP SciencesAstronomy & Astrophysics, 2016-10-10)Quiescent prominences host a diverse range of flows, including Rayleigh-Taylor instability driven upflows and impulsive downflows, and so it is no surprise that turbulent motions also exist. As prominences are believed to ...
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A model for the effects of germanium on silica biomineralization in choanoflagellates
(Royal Society PublishingJournal of the Royal Society Interface, 2016-09-21)Silica biomineralization is a widespread phenomenon of major biotechnological interest. Modifying biosilica with substances like germanium (Ge) can confer useful new properties, although exposure to high levels of Ge ...
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Instabilities of interacting vortex rings generated by an oscillating disk
(American Physical SocietyPhysical Review E, 2016-09-14)We propose a natural model to probe in a controlled fashion the instability of interacting vortex rings shed from the edge of an oblate spheroid disk of major diameter $\textit{c}$, undergoing oscillations of frequency ...
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Bulk eigenvalue statistics for random regular graphs
(Institute of Mathematical StatisticsAnnals of Probability, 2016)We consider the uniform random d-regular graph on N vertices, with d ∈ [N$^{\alpha}$,N$^{2/3−\alpha}$] for arbitrary α > 0. We prove that in the bulk of the spectrum the local eigenvalue correlation functions and the ...
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Homogeneous Monge-Amp$\grave e$re Equations and Canonical Tubular Neighbourhoods in Kähler Geometry
(Oxford University PressInternational Mathematics Research Notices, 2016)We prove the existence of canonical tubular neighbourhoods around complex submanifolds of Kähler manifolds that are adapted to both the holomorphic and symplectic structure. This is done by solving the complex Homogeneous ...
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Particle-Vortex Duality from 3D Bosonization
(American Physical SocietyPhysical Review X, 2016-09-19)We show how particle-vortex duality in $d$ = 2 + 1 dimensions arises as part of an intricate web of relationships between different field theories. The starting point is “bosonization,” a conjectured duality that uses flux ...
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Bio-inspired canopies for the reduction of roughness noise
(ElsevierJournal of Sound and Vibration, 2016-12-22)This work takes inspiration from the structure of the down covering the flight feathers of larger species of owls, which contributes to their ability to fly almost silently at frequencies above 1.6 kHz. Microscope photographs ...
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Data processing for the sandwiched Rényi divergence: a condition for equality
(SpringerLetters in Mathematical Physics, 2016)The $\alpha$-sandwiched Rényi divergence satisfies the data processing inequality, i.e. monotonicity under quantum operations, for $\alpha$ $\geq$ 1/2. In this article, we derive a necessary and sufficient algebraic condition ...
