• University of Cambridge Featured PhD Programmes
  • FindA University Ltd Featured PhD Programmes
  • Staffordshire University Featured PhD Programmes
  • University of Leeds Featured PhD Programmes
  • University of Pennsylvania Featured PhD Programmes
  • Aberdeen University Featured PhD Programmes
  • University of Tasmania Featured PhD Programmes
University of Tasmania Featured PhD Programmes
EPSRC Featured PhD Programmes
University of Bristol Featured PhD Programmes
Imperial College London Featured PhD Programmes
FindA University Ltd Featured PhD Programmes

Hydrodynamic limits of Ginzburg-Landau vortices

This project is no longer listed in the FindAPhD
database and may not be available.

Click here to search the FindAPhD database
for PhD studentship opportunities
  • Full or part time
    Dr Kurzke
  • Application Deadline
    Applications accepted all year round

Project Description

Many quantum physical systems (for example superconductors, superfluids, Bose-Einstein condensates) exhibit vortex states that can be described by Ginzburg-Landau type functionals. For various equations of motion for the physical systems, the dynamical behaviour of finite numbers of vortices has been rigorously established. In a superconductor, one typically has millions of vortices, and so it is necessary to work with the vortex density instead of individual vortices. This leads to hydrodynamic evolution equations that are dissipative relatives of the Euler equations of incompressible fluids.

There are several interesting directions to pursue here, for example, to understand how vortex dynamics is related to the surprising sign change of the Hall effect in some superconductors. There are also numerous analogies to fluid dynamics to study.

The PhD student will work on a problem that has connections to the calculus of variations, to partial differential equations and to fluid mechanics, and should have some experience in one of these fields.

Apply: This studentship is open now and will be available until it is filled. To apply please visit the University Of Nottingham application page: http://www.nottingham.ac.uk/pgstudy/apply/apply-online.aspx

Funding Notes

Summary: UK/EU students - Tuition Fees paid, and full Stipend of £13,863 (2014/15 rate). There will also be some support available for you to claim for limited conference attendance.

Eligibility/Entry Requirements: We require an enthusiastic graduate with a 1st class degree in Mathematics (or another highly mathematical field), preferably of the MMath/MSc level, or an equivalent overseas degree (in exceptional circumstances a 2:1 class degree, or equivalent, can be considered).

Related Subjects

Share this page:

Cookie Policy    X