MAGIC092: Introduction to superfluids and turbulence

Course details

Semester

Spring 2019
Monday, January 21st to Friday, March 29th

Hours

Live lecture hours
10
Recorded lecture hours
0
Total advised study hours
40

Timetable

Fridays
15:05 - 15:55

Description

The aim of the course is to give a mathematical introduction to superfluids and superfluid turbulence. Some of the existing mathematical models used to describe superfluid liquid Helium and Bose-Einstein condensates of dilute gases will be devised. Experimental and numerical experiments will also complement the course as examples. More details on the course topics are given in the Syllabus.

Prerequisites

Calculus, partial differential equation, general concepts of mechanics and fluid mechanics. A basic knowledge of quantum mechanics would be preferable.

Syllabus

- brief history of superfluidity, introduction to different types of superfluids
- Landau’s two-fluid model
- the Biot-Savart model and the Euler equation
- the local induction approximation limit
- Hasimoto’s transformations and some of the nonlinear Schroedinger equation solutions
- Bose-Einstein condensates and the Gross-Pitaevskii equation
- Bogoliubov excitations and quantised vortices
- vortex reconnections
- introduction to classical turbulence and Kolmogorov’s -5/3 law
- superfluid turbulence phenomenology

Lecturer

  • DP

    Dr Davide Proment

    University
    University of East Anglia

Bibliography

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Assessment

Description

The assessment for this course will be via a single take-home paper in April with 2 weeks to complete and submit online. There will be 3 questions and you will need the equivalent of 1.5 questions to pass.

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Lectures

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