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On the quadratic invariant of binary sextics
(Cambridge University PressMathematical Proceedings of the Cambridge Philosophical Society, 2016-07-28)
We provide a geometric characterisation of binary sextics with vanishing quadratic invariant.
Turbulent mixing due to the Holmboe wave instability at high Reynolds number
(Cambridge University PressJournal of Fluid Mechanics, 2016)
We consider numerically the transition to turbulence and associated mixing in stratified shear flows with initial velocity distribution $\bar U$(z, 0)e$_{x}$ = U$_{0}$e$_{x}$ tanh(z/d) and initial density distribution $\bar ...
Density diagnostics derived from the O IV and S IV intercombination lines observed by IRIS
(EDP SciencesAstronomy & Astrophysics, 2016)
The intensity of the O IV 2s$^{2}$ 2p $^{2}$P-2s2p$^{2}$ $^{4}$P and S IV 3 s$^{2}$ 3p $^{2}$P- 3s 3p$^{2}$ $^{4}$ P intercombination lines around 1400 Å observed with the Interface Region Imaging Spectrograph (IRIS) provide ...
On the nature of the magnetic Rayleigh–Taylor instability in astrophysical plasma: the case of uniform magnetic field strength
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2016-07-28)
The magnetic Rayleigh–Taylor instability has been shown to play a key role in many astrophysical systems. The equation for the growth rate of this instability in the incompressible limit, and the most-unstable mode that ...
Tunable shear thickening in suspensions
(National Academy of SciencesProceedings of the National Academy of Sciences, 2016-09-12)
Shear thickening, an increase of viscosity with shear rate, is a ubiquitous phenomenon in suspended materials that has implications for broad technological applications. Controlling this thickening behavior remains a major ...
Flow analysis of the low Reynolds number swimmer $\textit{C. elegans}$
(American Physical SocietyPhysical Review Fluids, 2016-09-09)
Swimming cells and microorganisms are a critical component of many biological processes. In order to better interpret experimental studies of low Reynolds number swimming, we combine experimental and numerical methods to ...
A matrix model for WZW
(SpringerJournal of High Energy Physics, 2016-08-01)
We study a U($\small N$) gauged matrix quantum mechanics which, in the large $\small N$ limit, is closely related to the chiral WZW conformal field theory. This manifests itself in two ways. First, we construct the left-moving ...
Metrisability of three-dimensional path geometries
(SpringerEuropean Journal of Mathematics, 2016-03-08)
Given a projective structure on a three-dimensional manifold, we find explicit obstructions to the local existence of a Levi-Civita connection in the projective class. These obstructions are given by projectively invariant ...
Sensing in the Mouth: A Model for Filiform Papillae as Strain Amplifiers
(FrontiersFrontiers in Physics, 2016-08-23)
Texture perception of foods is a common yet remarkably unstudied biophysical problem. Motivated by recent experiments reporting the presence of corpuscular endings in tongue filiform papillae, we develop in this work a ...
Cosmological solutions of $\small \textit{f(T)}$ gravity
(American Physical SocietyPhysical Review D, 2016-07-28)
In the cosmological scenario in $\small \textit{f(T)}$ gravity, we find analytical solutions for an isotropic and homogeneous universe containing a dust fluid and radiation and for an empty anisotropic Bianchi I universe. ...