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Screened Coulomb interactions with non-uniform surface charge
(Royal Society PublishingProceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 2017-03-22)
The screened Coulomb interaction between a pair of infinite parallel planes with spatially varying surface charge is considered in the limit of small electrical potentials for arbitrary Debye lengths. A simple expression ...
Self-similar mixing in stratified plane Couette flow for varying Prandtl number
(Cambridge University PressJournal of Fluid Mechanics, 2017-06-10)
We investigate fully developed turbulence in stratified plane Couette flows using direct numerical simulations similar to those reported by Deusebio et al. (J. Fluid Mech., vol. 781, 2015, pp. 298-329) expanding the range ...
Diapycnal mixing in layered stratified plane Couette flow quantified in a tracer-based coordinate
(Cambridge University PressJournal of Fluid Mechanics, 2017-07)
The mixing properties of statically stable density interfaces subject to imposed vertical shear are studied using direct numerical simulations of stratified plane Couette flow. The simulations are designed to investigate ...
On vortex rings impacting a sharply-stratified interface
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsHughes Hall, 2017-06-14)
This thesis presents an investigation into the dynamics of vortex rings impacting a sharply-stratified density interface. This problem has a long history and is important for understanding how individual eddies in stratified ...
Role of overturns in optimal mixing in stratified mixing layers
(Cambridge University PressJournal of Fluid Mechanics, 2017-09-10)
Turbulent mixing plays a major role in enabling the large scale ocean circulation. The accuracy of mixing rates estimated from observations
depends on our understanding of basic fluid mechanical processes underlying the ...
Integrable Abelian vortex-like solitons
(ElsevierPhysics Letters B, 2017-05-10)
We propose a modified version of the Ginzburg–Landau energy functional admitting static solitons and determine all the Painlevé-integrable cases of its Bogomolny equations of a given class of models. Explicit solutions are ...
End Point of the Ultraspinning Instability and Violation of Cosmic Censorship
(American Physical SocietyAmerican Physical SocietyPhysical Review Letters, 2017-04-14)
We determine the end point of the axisymmetric ultraspinning instability of asymptotically flat Myers-Perry black holes in D = 6 spacetime dimensions. In the nonlinear regime, this instability gives rise to a sequence of ...
Dynamical tides in exoplanetary systems containing hot Jupiters: Confronting theory and observations
(Oxford University PressMonthly Notices of the Royal Astronomical Society, 2017-09-11)
We study the effect of dynamical tides associated with the excitation of gravity waves in an interior radiative region of the central star on orbital evolution in observed systems containing hot Jupiters. We consider ...
In situ accretion of gaseous envelopes on to planetary cores embedded in evolving protoplanetary discs
(Oxford University PressMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2017-09-21)
The core accretion hypothesis posits that planets with significant gaseous envelopes accreted them from their protoplanetary discs after the formation of rocky/icy cores. Observations indicate that such exoplanets exist ...
Quantum conditional query complexity
(Rinton PressQuantum Information and Computationhttp://www.rintonpress.com/journals/qicabstracts/qicabstracts17-78.html, 2017-06-01)
We define and study a new type of quantum oracle, the quantum conditional oracle, which provides oracle access to the conditional probabilities associated with an underlying distribution. Amongst other properties, we (a) ...