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Vortex Dynamics in Superfluids (SALMANHU20SF)

  • Full or part time
  • Application Deadline
    Sunday, May 31, 2020
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

The study of superfluidity is currently one of the most fascinating fields of research in fluid dynamics involving some of the most unusual phenomena seen in fluids. These include the ability of the fluid to flow without any dissipation, the propagation of heat as a wave rather than by diffusion, and the quantisation of circulation of superfluid vortices as determined by quantum mechanical constraints.

Originally discovered in liquid Helium, superfluids are nowadays being studied in a broad range of systems including atomic and molecular Bose-Einstein condensates (BECs), exciton-polariton condensates (consisting of light and matter waves), and spin-wave systems. The discovery of superfluidity in these new systems is currently driving theoretical research towards a better understanding of non-equilibrium phenomena. Such non-equilibrium effects have relevance to the study of turbulence in quantum fluids, finite temperature effects in BECs, non-equilibrium condensates, as well as describing non-equilibrium phase transitions. Despite its importance and broad relevance to these problems, the underlying theory for non-equilibrium phenomena is not well developed and is currently a very active area of investigation.

This PhD project aims to improve our understanding of non-equilibrium phenomena through the study of vortex dynamics in quantum fluids. The primary tool to tackle the project is a combination of theory and numerical simulations of the Nonlinear Schrodinger or Gross-Pitaevskii equation. Topics that are relevant to the described research include, fluid mechanics, quantum mechanics, nonlinear waves, numerical methods, and statistical mechanics. There will also be opportunities to participate in collaborative research visits to groups based in Europe.

or more information on the project’s supervisor, please visit: https://www.uea.ac.uk/mathematics/people/profile/h-salman
Type of programme: PhD.
Start date of project: October 2020.
Mode of study: full time
Studentship length: 3 years. (3 year studentships have a (non-funded) 1 year ‘registration only’ period).
Location: UEA.
Entry requirements:
a) acceptable first degree in: Mathematics or Physics.
b) standard minimum entry requirement is First Class (preferably a Masters degree).

Funding Notes

This PhD project is offered on a self-funding basis. It is open to applicants with funding or those applying to funding sources. Details of tuition fees can be found at View Website.

A bench fee is also payable on top of the tuition fee to cover specialist equipment or laboratory costs required for the research. Applicants should contact the primary supervisor for further information about the fee associated with the project.

References

i) R.J. Donnelly, Quantized vortices in Helium II, Cambridge University Press.
ii) N.G. Berloff, ‘Nonlinear Schrodinger equation as a model of superfluid Helium’, “Quantized Vortex Dynamics and Superfluid Turbulence”, Eds. C.F. Barenghi, R.J. Donnely, and W.F. Vinen, Lecture Notes in Physics, Vol. 571, Springer-Verlag, 2001.
iii) H. Salman, `Breathers on Quantized Superfluid Vortices’, Phys. Rev. Lett., v111, 165301, 2013.
iv) H. Salman, D. Maestrini,`Long-range ordering of topological excitations in a two-dimensional superfluid far from equilibrium’, Phys. Rev. A, v94, 043642, 2016.

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