The University of Southampton
University of Southampton Institutional Repository

Neutron stars and their terrestrial analogues

Neutron stars and their terrestrial analogues
Neutron stars and their terrestrial analogues
When we consider in detail the behaviour of a fluid consisting of two (or possibly more) interpenetrating components, the likelihood of dynamical instabilities induced by coupling between the two fluids cannot be ignored. The phenomenon is generic to all such multi fluid systems and as such is appellated the two-stream instability. Mathematically this class of instability is somewhat akin to the more well known Kelvin Helmholtz instability, but is distinguished by the fluids flowing through each other rather than having a clearly defined interface between them. In this thesis we describe in some detail the mechanisms underlying this instability in a simple linear flow scrutinising in particular the growing (unstable) solutions for small harmonic perturbations. We further consider the application of this genre of instabilities to other physical systems, most conspicuously to that of a rotating super fluid body with rotational lag between the components. This case is of particular interest in neutron star physics, where it offers possibilities for exploring behaviour within the core. There also seems to be the chance of exploring this example in laboratory systems. We also take a tentative first step to extending the application and understanding of the two-stream instability by flirting with the analogous observations in a laboratory realisable binary Bose-Einstein Condensate. This laboratory realisation is a first step towards being able to explore physically issues relating to neutron star dynamics. We further discuss general analogue systems for modelling key features of neutron stars in terrestrial laboratories. The possible applications, along with some of the diffculties in using these analogues, are explored.
Hogg, Michael
0a5505a2-0912-4a80-ae9f-094db14ebc03
Hogg, Michael
0a5505a2-0912-4a80-ae9f-094db14ebc03
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304

Hogg, Michael (2014) Neutron stars and their terrestrial analogues. University of Southampton, Mathematical Sciences, Doctoral Thesis, 177pp.

Record type: Thesis (Doctoral)

Abstract

When we consider in detail the behaviour of a fluid consisting of two (or possibly more) interpenetrating components, the likelihood of dynamical instabilities induced by coupling between the two fluids cannot be ignored. The phenomenon is generic to all such multi fluid systems and as such is appellated the two-stream instability. Mathematically this class of instability is somewhat akin to the more well known Kelvin Helmholtz instability, but is distinguished by the fluids flowing through each other rather than having a clearly defined interface between them. In this thesis we describe in some detail the mechanisms underlying this instability in a simple linear flow scrutinising in particular the growing (unstable) solutions for small harmonic perturbations. We further consider the application of this genre of instabilities to other physical systems, most conspicuously to that of a rotating super fluid body with rotational lag between the components. This case is of particular interest in neutron star physics, where it offers possibilities for exploring behaviour within the core. There also seems to be the chance of exploring this example in laboratory systems. We also take a tentative first step to extending the application and understanding of the two-stream instability by flirting with the analogous observations in a laboratory realisable binary Bose-Einstein Condensate. This laboratory realisation is a first step towards being able to explore physically issues relating to neutron star dynamics. We further discuss general analogue systems for modelling key features of neutron stars in terrestrial laboratories. The possible applications, along with some of the diffculties in using these analogues, are explored.

Text
__soton.ac.uk_ude_personalfiles_users_kkb1_mydesktop_FinalOne.pdf - Other
Download (3MB)

More information

Published date: January 2014
Organisations: University of Southampton, Applied Mathematics

Identifiers

Local EPrints ID: 366019
URI: http://eprints.soton.ac.uk/id/eprint/366019
PURE UUID: 4f322fca-232e-4e5d-95c5-bfa485e0d278
ORCID for Nils Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 26 Jun 2014 11:05
Last modified: 15 Mar 2024 02:59

Export record

Contributors

Author: Michael Hogg
Thesis advisor: Nils Andersson ORCID iD

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×