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Waves and instabilities in dissipative rotating superfluid neutron stars

Waves and instabilities in dissipative rotating superfluid neutron stars
Waves and instabilities in dissipative rotating superfluid neutron stars
We discuss wave propagation in rotating superfluid neutron star cores, taking into account the vortex-mediated mutual friction force. For models where the two fluids corotate in the unperturbed state, our analysis clarifies the role of chemical coupling and entrainment for sound and inertial waves. We also investigate the mutual friction damping, providing results that demonstrate the well-known fact that sound waves propagating along a vortex array are undamped. We show that the same is not true for inertial waves, which are damped by the mutual friction regardless of the propagation direction. We then include the vortex tension, which arises due to local vortex curvature. Focusing on purely transverse inertial waves, we derive the small correction that the tension induces in the wave frequency. Finally, we allow for a relative linear flow in the background (along the rotation axis). In this case we show how the mutual friction coupling may induce an instability in the inertial waves. We discuss the critical flow required for the instability to be present, its physical interpretation and the possible relevance it may have for neutron star physics.
hydrodynamics, instabilities, stars: neutron
0035-8711
335-348
Sidery, T.
bc971e4a-89f6-4e64-aa6e-9fefac007786
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Sidery, T.
bc971e4a-89f6-4e64-aa6e-9fefac007786
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358

Sidery, T., Andersson, N. and Comer, G.L. (2008) Waves and instabilities in dissipative rotating superfluid neutron stars. Monthly Notices of the Royal Astronomical Society, 385 (1), 335-348. (doi:10.1111/j.1365-2966.2007.12805.x).

Record type: Article

Abstract

We discuss wave propagation in rotating superfluid neutron star cores, taking into account the vortex-mediated mutual friction force. For models where the two fluids corotate in the unperturbed state, our analysis clarifies the role of chemical coupling and entrainment for sound and inertial waves. We also investigate the mutual friction damping, providing results that demonstrate the well-known fact that sound waves propagating along a vortex array are undamped. We show that the same is not true for inertial waves, which are damped by the mutual friction regardless of the propagation direction. We then include the vortex tension, which arises due to local vortex curvature. Focusing on purely transverse inertial waves, we derive the small correction that the tension induces in the wave frequency. Finally, we allow for a relative linear flow in the background (along the rotation axis). In this case we show how the mutual friction coupling may induce an instability in the inertial waves. We discuss the critical flow required for the instability to be present, its physical interpretation and the possible relevance it may have for neutron star physics.

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More information

Published date: March 2008
Keywords: hydrodynamics, instabilities, stars: neutron

Identifiers

Local EPrints ID: 54975
URI: http://eprints.soton.ac.uk/id/eprint/54975
ISSN: 0035-8711
PURE UUID: a2e328f9-d91c-43ef-a216-e14f190c6d99
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 01 Aug 2008
Last modified: 10 Jan 2022 02:41

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Contributors

Author: T. Sidery
Author: N. Andersson ORCID iD
Author: G.L. Comer

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