MAGIC092: Introduction to superfluids and turbulence

Course details

Semester

Spring 2018
Monday, January 22nd to Friday, March 16th; Monday, April 23rd to Friday, May 4th

Hours

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

Timetable

Fridays
09:05 - 09:55

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

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

Follow the link for a book to take you to the relevant Google Book Search page

You may be able to preview the book there and see links to places where you can buy the book. There is also link marked 'Find this book in a library' - this sometimes works well, but not always - you will need to enter your location, but it will be saved after you do that for the first time.

Assessment

The assessment for this course will be released on Monday 7th May 2018 and is due in by Sunday 20th May 2018 at 23:59.

The assessment for this course will be via a single take-home paper in May 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.
The assessment moderator is Dr Gennady El (Loughborough University).

Please note that you are not registered for assessment on this course.

Files

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Lectures

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