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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 ...
Phoretic flow induced by asymmetric confinement
(Cambridge University PressJournal of Fluid Mechanics, 2016-06-28)
Internal phoretic flows due to the interactions of solid boundaries with local chemical gradients may be created using chemical patterning. Alternatively, we demonstrate here that internal flows might also be induced by ...
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 ...
Near-wall diffusion tensor of an axisymmetric colloidal particle
(AIPJournal of Chemical Physics, 2016-07-20)
Hydrodynamic interactions with confining boundaries often lead to drastic changes in the diffusive behaviour of microparticles in suspensions. For axially symmetric particles, earlier numerical studies have suggested a ...
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 ...
Worldsheet methods for perturbative quantum field theory
(University of CambridgeDepartment of Applied Mathematics and Theoretical PhysicsTrinity College, 2015-10-01)
This thesis is divided into two parts. The first part concerns the study of the ambitwistor string and the scattering equations, while the second concerns the interplay of the symmetries of the asymptotic null boundary 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) ...