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Inertial modes of non-stratified superfluid neutron stars

Inertial modes of non-stratified superfluid neutron stars
Inertial modes of non-stratified superfluid neutron stars
We present results concerning adiabatic inertial-mode oscillations of non-stratified superfluid neutron stars in Newtonian gravity, using the anelastic and slow-rotation approximations. We consider a simple two-fluid model of a superfluid neutron star, where one fluid consists of the superfluid neutrons and the second fluid contains all the comoving constituents (protons, electrons). The two fluids are assumed to be 'free' in the sense that vortex-mediated forces such as mutual friction or pinning are absent, but they can be coupled by the equation of state, in particular by entrainment. The stationary background consists of the two fluids rotating uniformly around the same axis with potentially different rotation rates. We study the special cases of corotating backgrounds, vanishing entrainment, and the purely toroidal r modes analytically. We calculate numerically the eigenfunctions and frequencies of inertial modes in the general case of non-corotating backgrounds, and study their dependence on the relative rotation rate and entrainment. In these non-stratified models, we find avoided crossings only between associated mode pairs, e.g. an 'ordinary' mode and its 'superfluid' counterpart, while other mode frequencies generally cross as the background parameters are varied. We confirm (for the first time in a mode calculation) the onset of a 'two-stream instability' at a critical relative background rotation rate, and we study some of the properties of this instability for the inertial modes.
0035-8711
625-637
Prix, R.
96ea3047-4071-44f4-9a9f-e9e331c61421
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Prix, R.
96ea3047-4071-44f4-9a9f-e9e331c61421
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304

Prix, R., Comer, G.L. and Andersson, N. (2004) Inertial modes of non-stratified superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 348, 625-637. (doi:10.1111/j.1365-2966.2004.07399.x).

Record type: Article

Abstract

We present results concerning adiabatic inertial-mode oscillations of non-stratified superfluid neutron stars in Newtonian gravity, using the anelastic and slow-rotation approximations. We consider a simple two-fluid model of a superfluid neutron star, where one fluid consists of the superfluid neutrons and the second fluid contains all the comoving constituents (protons, electrons). The two fluids are assumed to be 'free' in the sense that vortex-mediated forces such as mutual friction or pinning are absent, but they can be coupled by the equation of state, in particular by entrainment. The stationary background consists of the two fluids rotating uniformly around the same axis with potentially different rotation rates. We study the special cases of corotating backgrounds, vanishing entrainment, and the purely toroidal r modes analytically. We calculate numerically the eigenfunctions and frequencies of inertial modes in the general case of non-corotating backgrounds, and study their dependence on the relative rotation rate and entrainment. In these non-stratified models, we find avoided crossings only between associated mode pairs, e.g. an 'ordinary' mode and its 'superfluid' counterpart, while other mode frequencies generally cross as the background parameters are varied. We confirm (for the first time in a mode calculation) the onset of a 'two-stream instability' at a critical relative background rotation rate, and we study some of the properties of this instability for the inertial modes.

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Published date: 2004

Identifiers

Local EPrints ID: 29457
URI: http://eprints.soton.ac.uk/id/eprint/29457
ISSN: 0035-8711
PURE UUID: a3a72aed-b671-4765-a9fe-03d3d5e20fba
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 11 May 2006
Last modified: 09 Jan 2022 02:57

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Contributors

Author: R. Prix
Author: G.L. Comer
Author: N. Andersson ORCID iD

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