Announcements


Due to technical reasons the first two lectures scheduled on Friday 7 and 14 October are cancelled. To compensate this change, two extra lectures are added in week 7 and 9, on Wednesday 16 Nov 16-17 and Tue 29 Nov 13-14, respectively. As a result the first lecture of the course will be on Friday 21 Oct 9-10.

Forum

General


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.

Semester

Autumn 2016 (Monday, October 3 to Friday, December 9)

Timetable

  • Fri 09:05 - 09:55

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


Davide Proment
Email d.proment@uea.ac.uk
Phone 01603 591642


Students


Photo of Thomas Bland
Thomas Bland
(Newcastle)
Photo of Michael Ellis
Michael Ellis
(Newcastle)
Photo of Michael Foskett
Michael Foskett
(Surrey)
Photo of Alice Harpole
Alice Harpole
(Southampton)
Photo of Georgia Lynott
Georgia Lynott
(Manchester)
Photo of Amy Mallinson
Amy Mallinson
(Manchester)
Photo of Mae Mesgarnezhad
Mae Mesgarnezhad
(Newcastle)
Photo of Holly Smith
Holly Smith
(Nottingham)
Photo of Paul Wileman
Paul Wileman
(Nottingham)
Photo of Anthony Williams
Anthony Williams
(Manchester)


Bibliography


A Primer on Quantum FluidsCarlo F. Barenghi & Nick G. Parker
Bose-Einstein CondensationLev. P. Pitaevskii & Sandro Stringari
Quantized Vortex Dynamics and Superfluid TurbulenceBarenghi, C.F., Donnelly, R.J., Vinen, W.F. (Eds.)
Quantized Vortices in Helium IIDonnelly
Superconductivity, Superfluids and CondensatesAnnett


Note:

Clicking on the link for a book will take you to the relevant Google Book Search page. You may be able to preview the book there. On the right hand side you will 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 via a single take-home paper in January with 2 weeks to complete and submit online. There will be 4 questions and you will need to complete correctly 60

Introduction to superfluids and turbulence assessment

Files:Exam paper
Released: Monday 9 January 2017 (223.2 days ago)
Deadline: Sunday 22 January 2017 (209.2 days ago)
Instructions:

Read the attached file and address the questions present there.



Files


Files marked L are intended to be displayed on the main screen during lectures.

Week(s)File
exam.pdf
lecture1.pdfL
lecture2.pdfL
lecture2_extraHandwrittenMaterial.pdfL
lecture3.pdfL
lecture4.pdfL
lecture5.pdfL
lecture6.pdfL
lecture7.pdfL
lecture8.pdfL
lecture9.pdfL


Recorded Lectures


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