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Vortex dynamics, turbulence and quantum phenomena in superfluids (PROMENTDU19SF)

  • Full or part time
  • Application Deadline
    Friday, May 31, 2019
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

The project aims to study the fluid mechanical properties of superfluids in the presence of topological defects (vortices) and immersed objects (external confining potentials, impurities). The research methodology will be interdisciplinary involving background knowledge of applied mathematics, physics and computer science.

Superfluids are fluids characterised by the absence of viscosity and by the presence of topological defects called quantum vortices. Superfluidity usually manifests at low temperature and it is a consequence of quantum mechanics.

Several open questions regarding the static properties of topological defects in superfluids, their chaotic dynamics, and their interactions with immersed objects need to be answered. The specific PhD topic will be agreed with the applicant depending on their background and main interests.

Dr Proment has several ongoing international collaborations on these these topics involving both theoreticians and experimentalists. Visits to the eventual collaborators and period spent abroad will be particularly encouraged.

For more information and discuss the details of the project please contact directly Dr Proment.
Type of Programme: PhD

Start date of project: October 2019

Mode of study : full time

Acceptable first degree: 1st class degree or equivalent in Mathematics or Biological Sciences.

Application deadline: 31 May 2019. Applications are processed as soon as they are received and the project may be filled before the closing date, so early application is encouraged.

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. The amount charged annually will vary considerably depending on the nature of the project and applicants should contact the primary supervisor for further information about the fee associated with the project.

References

i) R.J. Donnelly (1991), Quantized Vortices in Helium II, Vol. 2, Cambridge University Press.
ii) L. P. Pitaevskii & S. Stringari (2003), Bose–Einstein Condensation, No. 116, Oxford University Press.
iii) G.E. Volovik & G. E. Volovik (2009). The Universe in a Helium Droplet, Oxford University Press.
iv) Pismen, L. M. (1999). Vortices in nonlinear fields: From liquid crystals to superfluids, from non-equilibrium patterns to cosmic strings (Vol. 100). Oxford University Press.
v) Nakahara, M. (2003). Geometry, topology and physics. CRC Press.

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